Select Publications

Preprints

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 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://arxiv.org/abs/2110.02365v3

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

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

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, 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

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

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/10.48550/arxiv.0708.2987

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

Other

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


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