Associate Professor Lee Zhao

Associate Professor

Ph. D., Rutgers University, May 2003
B. A., Rutgers University, May 1998

Science

School of Mathematics & Statistics

My primary research interests are in analytic number theory. More specifically, I am interested in the analytic theory of of L-functions, exponential sums, the large sieve, elliptic curves. I joined the School of Mathematics and Statistics at UNSW in 2015. For more information, please go to my personal webpage.

Phone

02 9385 7086

E-mail

l.zhao@unsw.edu.au

Location

School of Mathematics and Statistics UNSW AUSTRALIA SYDNEY NSW 2052 The Red Centre Room 4106

Journal articles | 2025

Gao P; Zhao L, 2025, 'Bounds for moments of quadratic Dirichlet character sums', Bulletin of the Australian Mathematical Society, 111, pp. 43 - 47, http://dx.doi.org/10.1017/S0004972724000327

Journal articles | 2025

Gao P; Zhao L, 2025, 'Negative first moment of quadratic twists of $L$-functions', Journal of Number Theory, 271, pp. 389 - 406, http://dx.doi.org/10.1016/j.jnt.2025.01.003

Journal articles | 2024

Gao P; Zhao L, 2024, 'First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters', Journal of Number Theory, 261, pp. 125 - 142

Journal articles | 2024

Gao P; Zhao L, 2024, 'First moment of central values of some primitive Dirichlet L-functions with fixed order characters', Journal of Number Theory, 261, pp. 125 - 142, http://dx.doi.org/10.1016/j.jnt.2024.02.007

Journal articles | 2024

Gao P; Zhao L, 2024, 'Lower Bounds for Moments of Quadratic Twists of Modular L-functions', Functiones et Approximatio Commentarii Mathematici, 71, pp. 183 - 200, http://dx.doi.org/10.7169/facm/2112

Journal articles | 2024

Gao P; Zhao L, 2024, 'Moments and one level density of sextic Hecke L-functions', Functiones et Approximatio Commentarii Mathematici, 70, pp. 7 - 28, http://dx.doi.org/10.7169/facm/2057

Journal articles | 2024

Gao P; Zhao L, 2024, 'Moments of Dirichlet $L$-functions to a fixed modulus over function fields', International Journal of Number Theory

Journal articles | 2024

Gao P; Zhao L, 2024, 'Moments of Dirichlet L-functions to a fixed modulus over function fields', International Journal of Number Theory, 20, pp. 1493 - 1513, http://dx.doi.org/10.1142/S1793042124500738

Journal articles | 2024

Gao P; Zhao L, 2024, 'Ratios conjecture for quadratic twists of modular $L$-functions', Research in Number Theory, 10, http://dx.doi.org/10.1007/s40993-024-00544-3

Journal articles | 2024

Gao P; Zhao L, 2024, 'Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions', Acta Arithmetica

Journal articles | 2024

Gao P; Zhao L, 2024, 'Twisted first moment of quadratic and quadratic twist $L$-functions', Functiones et Approximatio Commentarii Mathematici, 70, pp. 101 - 127, http://dx.doi.org/10.7169/facm/2120

Journal articles | 2023

Corrigan C; Zhao L, 2023, 'Zero-Density Theorems for Families of Dirichlet L-functions', Bulletin of the Australian Mathematical Society, 108, pp. 224 - 235, http://dx.doi.org/10.1017/S0004972722001617

Journal articles | 2023

Gao P; Zhao L, 2023, 'Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli', Colloquium Mathematicum, 171, pp. 61 - 77, http://dx.doi.org/10.4064/cm8650-1-2022

Journal articles | 2023

Gao P; Zhao L, 2023, 'First moment of central values of quadratic Hecke $L$-functions in the Gaussian field', International Journal of Number Theory, http://dx.doi.org/10.1142/S1793042123500793

Journal articles | 2023

Gao P; Zhao L, 2023, 'First moment of central values of quadratic Hecke L-functions in the Gaussian field', International Journal of Number Theory, 19, pp. 1621 - 1637, http://dx.doi.org/10.1142/s1793042123500793

Journal articles | 2023

Gao P; Zhao L, 2023, 'Lower bounds for negative moments of $ζ'(ρ)$', Mathematika: a journal of pure and applied mathematics, 69, pp. 1081 - 1103, http://dx.doi.org/10.1112/mtk.12219

Journal articles | 2023

Gao P; Zhao L, 2023, 'Mean squares of quadratic twists of the Möbius function', Journal of Number Theory, 247, pp. 1 - 14, http://dx.doi.org/10.1016/j.jnt.2022.12.007

Journal articles | 2023

Gao P; Zhao L, 2023, 'Mean squares of quadratic twists of the Möbius function', Journal of Number Theory, 247, pp. 1 - 14, http://dx.doi.org/10.1016/j.jnt.2022.12.007

Journal articles | 2023

Gao P; Zhao L, 2023, 'Moments of quadratic Dirichlet L-functions over function fields', Finite Fields and Their Applications, 85, pp. 102113 - 102113, http://dx.doi.org/10.1016/j.ffa.2022.102113

Journal articles | 2023

Gao P; Zhao L, 2023, 'One-level density of quadratic twists of L-functions', Acta Arithmetica, 207, pp. 201 - 215, http://dx.doi.org/10.4064/aa220613-13-12

Journal articles | 2023

Gao P; Zhao L, 2023, 'Ratios conjecture for quadratic Hecke $L$-functions in the Gaussian field', Monatshefte fuer Mathematik, http://arxiv.org/abs/2210.08840v2

Journal articles | 2023

Gao P; Zhao L, 2023, 'Ratios conjecture for quadratic Hecke L-functions in the Gaussian field', Monatshefte fur Mathematik, 203, pp. 63 - 90, http://dx.doi.org/10.1007/s00605-023-01903-5

Journal articles | 2023

Gao P; Zhao L, 2023, 'Subconvexity of a double Dirichlet series over the Gaussian field', Quarterly Journal of Mathematics, 74, pp. 1237 - 1252, http://dx.doi.org/10.1093/qmath/haad023

Journal articles | 2023

Gao PENG; Zhao L, 2023, 'Lower-order terms of the one-level density of a family of quadratic Hecke L-functions', Journal of the Australian Mathematical Society, 114, pp. 178 - 221, http://dx.doi.org/10.1017/S1446788721000410

Journal articles | 2022

Gao P; Zhao L, 2022, 'Average values of quadratic Hecke character sums', Journal of the Ramanujan Mathematical Society, 37, pp. 99 - 107, http://dx.doi.org/10.48550/arXiv.1910.09691

Journal articles | 2022

Gao P; Zhao L, 2022, 'Bounds for moments of cubic and quartic Dirichlet $L$-functions', Indagationes Mathematicae, 33, pp. 1263 - 1296, http://dx.doi.org/10.1016/j.indag.2022.08.003

Journal articles | 2022

Gao P; Zhao L, 2022, 'Bounds for moments of cubic and quartic Dirichlet L-functions', Indagationes Mathematicae, http://dx.doi.org/10.1016/j.indag.2022.08.003

Journal articles | 2022

Gao P; Zhao L, 2022, 'First Moments of Some Hecke $L$-functions of Prime Moduli', Functiones et Approximatio Commentarii Mathematici, 66, pp. 161 - 178, http://dx.doi.org/10.7169/facm/1936

Journal articles | 2022

Gao P; Zhao L, 2022, 'One level density of low-lying zeros of quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields', Journal of the Australian Mathematical Society, 112, pp. 170 - 192, http://dx.doi.org/10.1017/S1446788720000397

Journal articles | 2022

Gao P; Zhao L, 2022, 'The Large Sieve with Power Moduli in Imaginary Quadratic Number Fields', International Journal of Number Theory, 18, pp. 1713 - 1733, http://dx.doi.org/10.1142/S1793042122500877

Journal articles | 2022

Gao P; Zhao L, 2022, 'Moments of quadratic Dirichlet $L$-functions over Function Fields', Finite Fields and Their Applications

Journal articles | 2021

Gao P; Zhao L, 2021, 'Moments and One level density of certain unitary families of Hecke {$L$}-functions', Journal de Theorie des Nombres de Bordeaux, 33, pp. 1 - 16, http://dx.doi.org/10.5802/jtnb.1149

Journal articles | 2021

Gao P; Zhao L, 2021, 'Moments and One level density of certain unitary families of Hecke L-functions', JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 33, pp. 1 - 16, http://dx.doi.org/10.5802/jtnb.1149

Journal articles | 2021

Gao P; Zhao L, 2021, 'Moments of central values of quartic Dirichlet L-functions', Journal of Number Theory, 228, pp. 342 - 358, http://dx.doi.org/10.1016/j.jnt.2021.04.021

Journal articles | 2021

Gao P; Zhao L, 2021, 'One level density of low-lying zeros of quadratic Hecke $L$-functions to prime moduli', The Hardy-Ramanujan Journal, 43, pp. 173 - 187

Journal articles | 2021

Gao P; Zhao L, 2021, 'Value-distribution of quartic Hecke $L$-functions', Moscow Journal of Combinatorics and Number Theory, 10, pp. 167 - 181, http://dx.doi.org/10.2140/moscow.2021.10.167

Journal articles | 2020

Gao P; Zhao L, 2020, 'First Moments of Some Hecke $L$-functions of Prime Moduli', Funct. Approx. Comment. Math., Vol. 66, 2022, No. 2, pp. 161--178, http://dx.doi.org/10.7169/facm/1936

Journal articles | 2020

Gao P; Zhao L, 2020, 'Low-lying zeros of a family of quadratic Hecke $L$-functions via ratios conjecture', , http://arxiv.org/abs/2007.13265v2

Journal articles | 2020

Gao P; Zhao L, 2020, 'Mean values of cubic and quartic Dirichlet Characters', Functiones et Approximatio Commentarii Mathematici, 63, pp. 227 - 245, http://dx.doi.org/10.7169/facm/1857

Journal articles | 2020

Gao P; Zhao L, 2020, 'Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields', Journal of Number Theory, 209, pp. 359 - 377, http://dx.doi.org/10.1016/j.jnt.2019.09.002

Journal articles | 2020

Gao P; Zhao L, 2020, 'Moments of central values of cubic Hecke $L$-functions of $\mathbb{Q}(i)$', Research in Number Theory, 6, pp. 14, http://dx.doi.org/10.1007/s40993-020-0189-3

Journal articles | 2020

Gao P; Zhao L, 2020, 'One level density of low-lying zeros of quadratic Hecke L-functions to prime moduli', Hardy-Ramanujan Journal, 43, pp. 173 - 187, http://dx.doi.org/10.46298/hrj.2021.7461

Journal articles | 2020

Gao P; Zhao L, 2020, 'One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions', Canadian Journal of Mathematics, 72, pp. 427 - 454, http://dx.doi.org/10.4153/S0008414X1900021X

Journal articles | 2019

Baier S; Lynch S; Zhao L, 2019, 'A Lower Bound for the Large Sieve with Square Moduli', Bulletin of the Australian Mathematical Society, 100, pp. 225 - 225, http://dx.doi.org/10.1017/S0004972719000224

Journal articles | 2019

Gao P; Zhao L, 2019, 'Average values of quadratic Hecke character sums', Journal- Ramanujan Mathematical Society, 37, pp. 99 - 107

Journal articles | 2019

Gao P; Zhao L, 2019, 'First Moment of Hecke $L$-functions with quartic characters at the central point', Mathematische Zeitschrift, 294, pp. 1841 - 1854, http://dx.doi.org/10.1007/s00209-019-02311-y

Journal articles | 2019

Gao P; Zhao L, 2019, 'Lower order terms of the one level density of a family of quadratic Hecke $L$-functions', Journal of the Australian Mathematical Society

Journal articles | 2019

Gao P; Zhao L, 2019, 'Mean values of some Hecke characters', Acta Arithmetica, 187, pp. 125 - 141, http://dx.doi.org/10.4064/aa170827-9-3

Journal articles | 2019

Gao P; Zhao L, 2019, 'PRIMES p ≡ 1 mod d AND a^(p1)/d ≡ 1 mod p', Integers, 19

Journal articles | 2019

Gao P; Zhao L, 2019, 'Primes $p \equiv 1 \bmod{d}$ and $a^{(p-1)/d} \equiv 1 \bmod{p}$}', Integers : Electronic Journal of Combinatorial Number Theory, 19

Journal articles | 2019

Gao P; Zhao L, 2019, 'WEIGHTED FIRST MOMENTS OF SOME SPECIAL QUADRATIC DIRICHLET L-FUNCTIONS', New Zealand Journal of Mathematics, 49, pp. 31 - 40, http://dx.doi.org/10.53733/28

Journal articles | 2019

Gao P; Zhao L, 2019, 'Weighted first moments of some special quadratic Dirichlet $L$-functions', New Zealand Journal of Mathematics, 49, pp. 31 - 40

Journal articles | 2018

Gao P; Zhao L, 2018, 'Mean values of divisors of forms $n^2+Nm^2$', , http://arxiv.org/abs/1812.07863v1

Journal articles | 2018

Shparlinski IE; Zhao L, 2018, 'Elliptic curves in isogeny classes', Journal of Number Theory, 191, pp. 194 - 212

Journal articles | 2017

Gao P; Zhao L, 2017, 'Moments and One level density of quadratic Hecke $L$-functions of $\mathbb{Q}(ω)$', , http://arxiv.org/abs/1710.04909v2

Journal articles | 2016

Baker RC; Zhao L, 2016, 'Gaps between primes in Beatty sequences', Acta Arithmetica, 172, pp. 207 - 242, http://dx.doi.org/10.4064/aa7993-1-2016

Journal articles | 2016

Baker RC; Zhao L, 2016, 'Gaps of Smallest Possible Order between Primes in an Arithmetic Progression', International Mathematics Research Notices, 2016, pp. 7341 - 7368, http://dx.doi.org/10.1093/imrn/rnw013

Journal articles | 2013

Baier S; Zhao L, 2013, 'On Hecke eigenvalues at primes of the form [g(n)]', Acta Arithmetica, 158, pp. 341 - 357, http://dx.doi.org/10.4064/aa158-4-3

Journal articles | 2013

Foo T; Zhao L, 2013, 'On primes represented by cubic polynomials', Mathematische Zeitschrift, 274, pp. 323 - 340, http://dx.doi.org/10.1007/s00209-012-1072-2

Journal articles | 2012

Baier S; Browning TD; Marasingha G; Zhao L, 2012, 'Averages of shifted convolutions of d3(n)', Proceedings of the Edinburgh Mathematical Society, 55, pp. 551 - 576, http://dx.doi.org/10.1017/S001309151100037X

Journal articles | 2012

Gao P; Zhao L, 2012, 'Large sieve inequalities for quartic characters', Quarterly Journal of Mathematics, 63, pp. 891 - 917, http://dx.doi.org/10.1093/qmath/har018

Journal articles | 2011

Foo T; Zhao L, 2011, 'On Primes Represented by Cubic Polynomials', Math. Z., 2, pp. 1 - 2

Journal articles | 2011

Gao P; Zhao L, 2011, 'One level density of low-lying zeros of families of L-functions', Compositio Mathematica, 147, pp. 1 - 18, http://dx.doi.org/10.1112/S0010437X10004914

Journal articles | 2010

Baier S; Zhao L, 2010, 'On Hecke eigenvalues at Piatetski-Shapiro primes', Journal of the London Mathematical Society, 81, pp. 175 - 201, http://dx.doi.org/10.1112/jlms/jdp064

Journal articles | 2009

Baier S; Zhao L, 2009, 'On primes in quadratic progressions', International Journal of Number Theory, 5, pp. 1017 - 1035, http://dx.doi.org/10.1142/S1793042109002523

Journal articles | 2009

Baier S; Zhao L, 2009, 'THE SATO-TATE CONJECTURE ON AVERAGE FOR SMALL ANGLES', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 361, pp. 1811 - 1832

Journal articles | 2009

Baier S; Zhao L, 2009, 'The sato-tate conjecture on average for small angles', Transactions of the American Mathematical Society, 361, pp. 1811 - 1832, http://dx.doi.org/10.1090/S0002-9947-08-04498-X

Journal articles | 2008

Baier S; Zhao L, 2008, 'An improvement for the large sieve for square moduli', Journal of Number Theory, 128, pp. 154 - 174, http://dx.doi.org/10.1016/j.jnt.2007.03.004

Journal articles | 2008

Baier S; Zhao L, 2008, 'On the low-lying zeros of Hasse-Weil L-functions for elliptic curves', Advances in Mathematics, 219, pp. 952 - 985, http://dx.doi.org/10.1016/j.aim.2008.06.006

Journal articles | 2007

Baier S; Zhao L, 2007, 'Primes in quadratic progressions on average', Mathematische Annalen, 338, pp. 963 - 982, http://dx.doi.org/10.1007/s00208-007-0101-7

Journal articles | 2007

Zhao L, 2007, 'Large sieve inequality with quadratic amplitudes', Monatshefte fur Mathematik, 151, pp. 165 - 173, http://dx.doi.org/10.1007/s00605-006-0408-6

Journal articles | 2006

Baier S; Zhao L, 2006, 'Bombieri-Vinogradov type theorems for sparse sets of moduli', Acta Arithmetica, 125, pp. 187 - 201, http://dx.doi.org/10.4064/aa125-2-5

Journal articles | 2006

Zhao L, 2006, 'Oscillations of Hecke eigenvalues at shifted primes', Revista Matematica Iberoamericana, 22, pp. 323 - 337, http://dx.doi.org/10.4171/RMI/458

Journal articles | 2005

Baier S; Zhao L, 2005, 'LARGE SIEVE INEQUALITY WITH CHARACTERS FOR POWERFUL MODULI', INTERNATIONAL JOURNAL OF NUMBER THEORY, 1, pp. 265 - 279, http://dx.doi.org/10.1142/S1793042105000170

Journal articles | 2005

Baier S; Zhao L, 2005, 'Large Sieve Inequalities for Characters to Powerful Moduli', Int. J. Number Theory, 1, pp. 265 - 279

Journal articles | 2005

Zhao L, 2005, 'An improvement of a large sieve inequality in high dimensions', Mathematika, 52, pp. 93 - 100, http://dx.doi.org/10.1112/S0025579300000371

Journal articles | 2004

Zhao L, 2004, 'Large Sieve Inequalities for Special Characters to Prime Square Moduli', Functiones et Approximatio, Commentarii Mathematici, 32, pp. 99 - 106

Journal articles | 2004

Zhao L, 2004, 'Large sieve inequality with characters to square moduli', Acta Arithmetica, 112, pp. 297 - 308, http://dx.doi.org/10.4064/aa112-3-5
Working Papers | 2022

Gao P; Zhao L, 2022, Moments and One level density of sextic Hecke $L$-functions of $\mathbb{Q}(ω)$, Adam Mickiewicz University Press, http://dx.doi.org, http://arxiv.org/abs/2201.01885v2

Working Papers | 2022

Gao P; Zhao L, 2022, Moments and one level density of sextic Hecke L-functions of Q(ω), http://dx.doi.org, https://arxiv.org/abs/2201.01885v2

Working Papers | 2022

Gao P; Zhao L, 2022, Ratios conjecture for quadratic Hecke L-functions in the Gaussian field, http://dx.doi.org, http://arxiv.org/abs/2210.08840v2
Preprints | 2024

Gao P; Zhao L, 2024, Bounds for Moments of Twisted Fourier coefficients of Modular Forms, http://arxiv.org/abs/2412.12515v1

Preprints | 2024

Gao P; Zhao L, 2024, Bounds for moments of quadratic Dirichlet character sums, http://dx.doi.org/10.1017/S0004972724000327

Preprints | 2024

Gao P; Zhao L, 2024, Lower bounds for shifted moments of Dirichlet $L$-functions of fixed modulus, http://arxiv.org/abs/2411.03692v1

Preprints | 2024

Gao P; Zhao L, 2024, Ratios conjecture of quadratic Hecke $L$-functions of prime-related moduli, http://arxiv.org/abs/2404.05081v1

Preprints | 2024

Gao P; Zhao L, 2024, Ratios conjecture of quartic $L$-functions of prime moduli, http://arxiv.org/abs/2402.17198v1

Preprints | 2024

Gao P; Zhao L, 2024, Shifted moments of quadratic Dirichlet $L$-functions, http://arxiv.org/abs/2406.18024v1

Preprints | 2024

Gao P; Zhao L, 2024, Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions, , http://arxiv.org/abs/2405.15980v1

Preprints | 2024

Gao P; Zhao L, 2024, Upper bounds for shifted moments of quadratic Dirichlet $L$-functions over function fields, http://arxiv.org/abs/2408.02880v1

Preprints | 2023

Gao P; Zhao L, 2023, First moment of central values of Hecke $L$-functions with Fixed Order Characters, http://arxiv.org/abs/2306.10726v2

Preprints | 2023

Gao P; Zhao L, 2023, First moment of central values of quadratic Dirichlet $L$-functions, http://arxiv.org/abs/2303.11588v4

Preprints | 2023

Gao P; Zhao L, 2023, First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters, , http://arxiv.org/abs/2308.10602v1

Preprints | 2023

Gao P; Zhao L, 2023, First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters, http://dx.doi.org/10.48550/arxiv.2308.10602

Preprints | 2023

Gao P; Zhao L, 2023, Negative first moment of quadratic twists of $L$-functions, http://arxiv.org/abs/2303.05055v2

Preprints | 2023

Gao P; Zhao L, 2023, Ratios conjecture for primitive quadratic Hecke $L$-functions, http://arxiv.org/abs/2309.13811v1

Preprints | 2023

Gao P; Zhao L, 2023, Ratios conjecture for quadratic twist of modular $L$-functions, , http://arxiv.org/abs/2304.14600v1

Preprints | 2023

Gao P; Zhao L, 2023, Ratios conjecture of cubic $L$-functions of prime moduli, http://arxiv.org/abs/2311.08626v2

Preprints | 2023

Gao P; Zhao L, 2023, Twisted first moment of quadratic and quadratic twist $L$-functions, http://dx.doi.org/10.48550/arxiv.2301.12615

Preprints | 2023

2023, Twisted first moment of quadratic and quadratic twist $L$-functions, , http://arxiv.org/abs/2301.12615v2

Preprints | 2022

Corrigan CC; Zhao L, 2022, Zero-Density Theorems for Families of Dirichlet $L$-functions, http://dx.doi.org/10.1017/S0004972722001617

Preprints | 2022

Gao P; Zhao L, 2022, First moment of central values of quadratic Hecke $L$-functions in the Gaussian field, http://dx.doi.org/10.48550/arxiv.2207.03746

Preprints | 2022

Gao P; Zhao L, 2022, Lower bounds for negative moments of $\zeta'(\rho)$, http://dx.doi.org/10.48550/arxiv.2208.06922

Preprints | 2022

Gao P; Zhao L, 2022, Mean squares of quadratic twists of the Möbius function, http://dx.doi.org/10.48550/arxiv.2212.09241

Preprints | 2022

Gao P; Zhao L, 2022, Moments and One level density of sextic Hecke $L$-functions of $\mathbb{Q}(\omega)$, http://dx.doi.org/10.48550/arxiv.2201.01885

Preprints | 2022

Gao P; Zhao L, 2022, Moments of Dirichlet $L$-functions to a fixed modulus over function fields, , http://arxiv.org/abs/2203.14458v2

Preprints | 2022

Gao P; Zhao L, 2022, Moments of quadratic Dirichlet $L$-functions over Function Fields

Preprints | 2022

Gao P; Zhao L, 2022, Non-vanishing of quadratic twists of modular $L$-functions of prime-related moduli, http://arxiv.org/abs/2205.01824v1

Preprints | 2022

Gao P; Zhao L, 2022, One-level density of quadratic twists of $L$-functions, http://dx.doi.org/10.4064/aa220613-13-12

Preprints | 2022

Gao P; Zhao L, 2022, Ratios conjecture for quadratic Hecke $L$-functions in the Gaussian field, http://dx.doi.org/10.48550/arxiv.2210.08840

Preprints | 2022

Gao P; Zhao L, 2022, Subconvexity of a double Dirichlet series over the Gaussian field, http://dx.doi.org/10.48550/arxiv.2211.08481

Preprints | 2022

2022, Lower bounds for negative moments of $ζ'(ρ)$, , http://arxiv.org/abs/2208.06922v1

Preprints | 2022

2022, Ratios conjecture for quadratic Hecke $L$-functions in the Gaussian field, , http://arxiv.org/abs/2210.08840v2

Preprints | 2022

2022, Subconvexity of a double Dirichlet series over the Gaussian field, , http://arxiv.org/abs/2211.08481v1

Preprints | 2021

Gao P; Zhao L, 2021, Bounds for moments of cubic and quartic Dirichlet $L$-functions, http://dx.doi.org/10.48550/arxiv.2104.09909

Preprints | 2021

Gao P; Zhao L, 2021, Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli, http://dx.doi.org/10.48550/arxiv.2105.03601

Preprints | 2021

Gao P; Zhao L, 2021, Lower bounds for moments of quadratic twists of modular $L$-functions, http://dx.doi.org/10.7169/facm/2112

Preprints | 2021

Gao P; Zhao L, 2021, Moments of central values of quartic Dirichlet $L$-functions, http://dx.doi.org/10.48550/arxiv.2102.02373

Preprints | 2019

Gao P; Zhao L, 2019, Lower order terms of the one level density of a family of quadratic Hecke $L$-functions, http://dx.doi.org/10.48550/arxiv.1912.05041

Preprints | 2019

Gao P; Zhao L, 2019, Mean values of cubic and quartic Dirichlet Characters, http://dx.doi.org/10.48550/arxiv.1902.10987

Preprints | 2018

Baier S; Lynch SB; Zhao L, 2018, A Lower Bound for the Large Sieve with Square Moduli, http://dx.doi.org/10.48550/arxiv.1812.05844

Preprints | 2018

Gao P; Zhao L, 2018, Moments and One level density of certain unitary families of Hecke {$L$}-functions, http://dx.doi.org/10.48550/arxiv.1808.01710

Preprints | 2018

Gao P; Zhao L, 2018, Value-distribution of quartic Hecke $L$-functions, http://dx.doi.org/10.48550/arxiv.1809.09822

Preprints | 2017

Gao P; Zhao L, 2017, First Moment of Hecke $L$-functions with quartic characters at the central point, http://dx.doi.org/10.48550/arxiv.1706.05450

Preprints | 2017

Gao P; Zhao L, 2017, Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields, http://dx.doi.org/10.48550/arxiv.1707.00091

Preprints | 2017

Gao P; Zhao L, 2017, One level density of low-lying zeros of quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields, http://dx.doi.org/10.48550/arxiv.1711.10557

Preprints | 2016

Shparlinski IE; Zhao L, 2016, Elliptic curves in isogeny classes, http://dx.doi.org/10.48550/arxiv.1611.05258

Preprints | 2011

Foo T; Zhao L, 2011, On Primes Represented by Cubic Polynomials

Other | 2010

Baier S; Zhao L, 2010, A Subconvexity Bound for Automorphic $L$-functions for $SL(3,Z)$, http://arxiv.org/abs/1001.2910v4

Preprints | 2009

Gao P; Zhao L, 2009, One level density of low-lying zeros of families of $L$-functions, http://dx.doi.org/10.48550/arxiv.0910.5063

Preprints | 2008

Baier S; Zhao L, 2008, On Hecke Eigenvalues at Piatetski-Shapiro Primes, http://dx.doi.org/10.48550/arxiv.0808.1756

Preprints | 2007

Baier S; Zhao L, 2007, On Primes Represented by Quadratic Polynomials, http://arxiv.org/abs/math/0703284v4

Preprints | 2007

Baier S; Zhao L, 2007, On the Low-lying zeros of Hasse-Weil L-functions for Elliptic Curves, http://dx.doi.org/10.48550/arxiv.0708.2987

Preprints | 2006

Baier S; Zhao L, 2006, Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli, http://dx.doi.org/10.48550/arxiv.math/0602116

Conference Papers | 2006

Zhao L; Baier S, 2006, 'On Primes Represented by Quadratic Polynomials', in de Koninck J; Granville A; Luca F (eds.), Anatomy of Integers, Montreal, pp. 159 - 166, presented at Anatomy of Integers, Montreal, 13 November 2006 - 17 March 2006

Preprints | 2005

Baier S; Zhao L, 2005, Large Sieve Inequalities for Characters to Powerful Moduli

Theses / Dissertations | 2003

Zhao L, 2003, Large Sieve and Exponential Sums

Faculty Research Grant, UNSW Sydney Australia, 2017, 2018, 2019, 2020, 2021, 2023, 2024

Faculty Goldstar Grant, UNSW Sydney Australia, 2019

Faculty Silverstar Grant, UNSW Sydney Australia, 2022, 2018

Academic Research Fund Tier 1 Grant, Nanyang Tech. Univ., Singapore, Feb. 2010 – Feb. 2013

Max-Planck-Institut f¨ur Mathematik Research Grant, Bonn Germany Jan. – Jun. 2010

Academic Research Fund Tier 1 Grant, Nanyang Tech. Univ., Singapore, Jan. 2008 – Jan. 2010

Commander’s Award for Civilian Service, U. S. Mil. Acad., 2004

Davies Fellowship, US Mil. Acad. & US Army Research Lab. 2004

Analytic number theory

President, Number Theory Down Under, Sep. 2023 -- Present

My Teaching

I teach a variety of undergraduate and graduate courses in pure mathematics.

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Associate Professor Lee Zhao

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