Select Publications

By Associate Professor Lee Zhao

Preprints

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, Primes $p \equiv 1 \bmod{d}$ and $a^{(p-1)/d} \equiv 1 \bmod{p}$}

Gao P; Zhao L, 2019, Mean values of cubic and quartic Dirichlet Characters, http://dx.doi.org/10.7169/facm/1857

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

Baier S; Lynch SB; Zhao L, 2018, A Lower Bound for the Large Sieve with Square Moduli, http://dx.doi.org/10.1017/S0004972719000224

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

Gao P; Zhao L, 2018, Value-distribution of quartic Hecke $L$-functions, http://dx.doi.org/10.2140/moscow.2021.10.167

Gao P; Zhao L, 2018, Moments and One level density of certain unitary families of Hecke {$L$}-functions, http://dx.doi.org/10.5802/jtnb.1149

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

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/10.1017/S1446788720000397

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

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

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

Gao P; Zhao L, 2017, Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields, http://dx.doi.org/10.1016/j.jnt.2019.09.002

Gao P; Zhao L, 2017, First Moment of Hecke $L$-functions with quartic characters at the central point, http://dx.doi.org/10.1007/s00209-019-02311-y

Shparlinski IE; Zhao L, 2016, Elliptic curves in isogeny classes, http://arxiv.org/abs/1611.05258v1

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

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

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

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

Gao P; Zhao L, 2009, One level density of low-lying zeros of families of $L$-functions, http://dx.doi.org/10.1112/S0010437X10004914

Baier S; Zhao L, 2008, On Hecke Eigenvalues at Piatetski-Shapiro Primes, http://dx.doi.org/10.1112/jlms/jdp064

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

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

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

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

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

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

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

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