By Dr Lee Zhao

Journal articles

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Conference Papers

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

Theses / Dissertations

Zhao L, 2003, Large Sieve and Exponential Sums

Working Papers

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

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

Preprints

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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