LARGE SIEVE INEQUALITIES FOR QUARTIC CHARACTERS

DOI10.1093/qmath/har018zbMath1282.11104arXiv1101.3646OpenAlexW2011555399MaRDI QIDQ3145528

Peng Gao, Liangyi Zhao

Publication date: 21 December 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3646

zbMATH Keywords

Gauss sumlarge sievequartic Dirichlet character

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Estimates on character sums (11L40) Sieves (11N35)

Related Items (15)

ONE-LEVEL DENSITY OF LOW-LYING ZEROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS ⋮ The large sieve with power moduli in imaginary quadratic number fields ⋮ Average Bateman–Horn for Kummer polynomials ⋮ ZERO DENSITY THEOREMS FOR FAMILIES OF DIRICHLET L-FUNCTIONS ⋮ On the distribution of modular square roots of primes ⋮ Mean square values of Dirichlet \(L\)-functions associated to fixed order characters ⋮ LARGE VALUES OF FOR TH ORDER CHARACTERS AND APPLICATIONS TO CHARACTER SUMS ⋮ On primes represented by cubic polynomials ⋮ Value-distribution of quartic Hecke \(L\)-functions ⋮ Mean values of cubic and quartic Dirichlet characters ⋮ Primes $p \equiv 1 \bmod{d}$ and $a^{(p-1)/d} \equiv 1 \bmod{p}$} ⋮ Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields ⋮ Moments of central values of quartic Dirichlet \(L\)-functions ⋮ First moment of Hecke \(L\)-functions with quartic characters at the central point ⋮ One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions

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