By Associate Professor Lee Zhao

Preprints

Gao P; Zhao L, 2025, Bounds for Moments of Dirichlet $L$-functions of fixed modulus on the critical line, http://arxiv.org/abs/2505.19375v1

Gao P; Zhao L, 2025, Upper bounds for moments of Dirichlet $L$-functions to a fixed modulus, http://arxiv.org/abs/2504.17905v1

Gao P; Zhao L, 2025, Upper bounds for shifted moments of quadratic Dirichlet $L$-functions over function fields

Gao P; Zhao L, 2025, Twisted second moment of modular $L$-functions to a fixed modulus, http://arxiv.org/abs/2504.02225v1

Gao P; Zhao L, 2025, Shifted moments of quadratic Dirichlet $L$-functions

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

Gao P; Zhao L, 2024, Lower bounds for shifted moments of Dirichlet $L$-functions of fixed modulus, http://arxiv.org/abs/2411.03692v2

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, 2024, Moments of Dirichlet $L$-functions to a fixed modulus over function fields

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/10.1016/j.jnt.2024.02.007

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, Ratios conjecture for quadratic twist of modular $L$-functions, http://dx.doi.org/10.1007/s40993-024-00544-3

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://dx.doi.org/10.1016/j.jnt.2025.01.003

Gao P; Zhao L, 2023, Twisted first moment of quadratic and quadratic twist $L$-functions, http://dx.doi.org/10.7169/facm/2120

Gao P; Zhao L, 2022, Mean squares of quadratic twists of the Möbius function, http://dx.doi.org/10.1016/j.jnt.2022.12.007

Gao P; Zhao L, 2022, Subconvexity of a double Dirichlet series over the Gaussian field, http://dx.doi.org/10.1093/qmath/haad023

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 $ζ'(ρ)$, http://dx.doi.org/10.1112/mtk.12219

Gao P; Zhao L, 2022, First moment of central values of quadratic Hecke $L$-functions in the Gaussian field, http://dx.doi.org/10.1142/S1793042123500793

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

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

Gao P; Zhao L, 2022, Moments of Dirichlet $L$-functions to a fixed modulus over function fields, http://dx.doi.org/10.48550/arxiv.2203.14458

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

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

Gao P; Zhao L, 2021, Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli, http://dx.doi.org/10.4064/cm8650-1-2022

Gao P; Zhao L, 2021, Bounds for moments of cubic and quartic Dirichlet $L$-functions, http://dx.doi.org/10.1016/j.indag.2022.08.003

Gao P; Zhao L, 2021, Moments of central values of quartic Dirichlet $L$-functions, http://dx.doi.org/10.1016/j.jnt.2021.04.021

Gao P; Zhao L, 2021, The Large Sieve with Power Moduli in Imaginary Quadratic Number Fields, http://arxiv.org/abs/2101.00811v2

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

Gao P; Zhao L, 2020, One level density of low-lying zeros of quadratic Hecke $L$-functions to prime moduli, http://arxiv.org/abs/2005.04811v2

Gao P; Zhao L, 2020, First Moments of Some Hecke $L$-functions of Prime Moduli, http://dx.doi.org/10.7169/facm/1936

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

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

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

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

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

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

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

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

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

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

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

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

Baier S; Zhao L, 2007, On the Low-lying zeros of Hasse-Weil L-functions for Elliptic Curves, http://dx.doi.org/10.1016/j.aim.2008.06.006

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