By Associate Professor Lee Zhao

Preprints

Gao P; Zhao L, 2023, First moment of central values of Hecke $L$-functions with Fixed Order Characters, https://arxiv.org/abs/2306.10726v3

Gao P; Zhao L, 2023, Ratios conjecture for quadratic twist of modular $L$-functions, http://dx.doi.org/10.48550/arxiv.2304.14600

Gao P; Zhao L, 2023, Subconvexity of a double Dirichlet series over the Gaussian field, http://dx.doi.org/10.48550/arxiv.2211.08481

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

Gao P; Zhao L, 2023, Ratios conjecture for quadratic Hecke $L$-functions in the Gaussian field, http://dx.doi.org/10.48550/arxiv.2210.08840

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, One-level density of quadratic twists of $L$-functions, http://dx.doi.org/10.48550/arxiv.2206.02302

Corrigan CC; Zhao L, 2022, Zero-Density Theorems for Families of Dirichlet $L$-functions, http://dx.doi.org/10.48550/arxiv.2211.00260

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, Moments of quadratic Dirichlet $L$-functions over Function Fields, http://arxiv.org/abs/2202.07814v3

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

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

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

Gao P; Zhao L, 2022, Bounds for moments of cubic and quartic Dirichlet $L$-functions, http://dx.doi.org/10.48550/arxiv.2104.09909

Gao P; Zhao L, 2022, Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli, http://dx.doi.org/10.48550/arxiv.2105.03601

Gao P; Zhao L, 2021, Value-distribution of quartic Hecke $L$-functions, http://dx.doi.org/10.48550/arxiv.1809.09822

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

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

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

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

Gao P; Zhao L, 2020, First Moments of Some Hecke $L$-functions of Prime Moduli, http://dx.doi.org/10.48550/arxiv.2005.01907

Gao P; Zhao L, 2020, Mean values of cubic and quartic Dirichlet Characters, http://dx.doi.org/10.48550/arxiv.1902.10987

Gao P; Zhao L, 2020, 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, 2019, Lower order terms of the one level density of a family of quadratic Hecke $L$-functions

Gao P; Zhao L, 2019, Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields, http://dx.doi.org/10.48550/arxiv.1707.00091

Gao P; Zhao L, 2019, First Moment of Hecke $L$-functions with quartic characters at the central point, http://dx.doi.org/10.48550/arxiv.1706.05450

Gao P; Zhao L, 2019, Primes $p \equiv 1 \bmod{d}$ and $a^{(p-1)/d} \equiv 1 \bmod{p}$}

Baier S; Lynch SB; Zhao L, 2019, A Lower Bound for the Large Sieve with Square Moduli, http://dx.doi.org/10.48550/arxiv.1812.05844

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

Gao P; Zhao L, 2018, Moments of central values of cubic Hecke $L$-functions of $\mathbb{Q}(i)$, https://arxiv.org/abs/1810.09641v2

Gao P; Zhao L, 2018, Weighted first moments of some special quadratic Dirichlet $L$-functions, https://arxiv.org/abs/1802.03896v3

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

Gao P; Zhao L, 2017, Mean values of some Hecke characters, https://arxiv.org/abs/1708.08164v2

Gao P; Zhao L, 2017, One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions, https://arxiv.org/abs/1708.01701v3

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

Baier S; Zhao L, 2011, On Hecke eigenvalues at primes of the form $[g(n)]$, https://arxiv.org/abs/1107.1572v1

Baier S; Browning TD; Marasingha G; Zhao L, 2011, Averages of shifted convolutions of $d_3(n)$, http://dx.doi.org/10.48550/arxiv.1101.5464

Gao P; Zhao L, 2011, Large sieve inequalities for quartic characters, https://arxiv.org/abs/1101.3646v2

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

Baier S; Zhao L, 2009, On Hecke Eigenvalues at Piatetski-Shapiro Primes, http://dx.doi.org/10.48550/arxiv.0808.1756

Baier S; Zhao L, 2008, On the Low-lying zeros of Hasse-Weil L-functions for Elliptic Curves, http://dx.doi.org/10.48550/arxiv.0708.2987

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

Baier S; Zhao L, 2007, On Primes in Quadratic Progressions, https://arxiv.org/abs/math/0701577v6

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

Baier S; Zhao L, 2006, The Sato-Tate Conjecture on Average for Small Angles, https://arxiv.org/abs/math/0608318v4

Zhao L, 2005, Large Sieve Inequalities with Quadratic Amplitudes, https://arxiv.org/abs/math/0512270v2

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