Trilinear forms with Kloosterman fractions

DOI10.1016/j.aim.2018.01.026zbMath1448.11158arXiv1502.00769OpenAlexW2963966623WikidataQ130203855 ScholiaQ130203855MaRDI QIDQ1705489

Sandro Bettin, Vorrapan Chandee

Publication date: 15 March 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00769

zbMATH Keywords

trilinear formsKloosterman sums

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05) Estimates on character sums (11L40) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (18)

Equidistribution of Eisenstein series on geodesic segments ⋮ The mean square of the product of the Riemann zeta-function with Dirichlet polynomials ⋮ Breaking the \(\frac{1}{2}\)-barrier for the twisted second moment of Dirichlet \(L\)-functions ⋮ Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier ⋮ Новое применение дисперсионного метода Линника ⋮ Almost primes in almost all very short intervals ⋮ Zeros of dirichlet L‐functions near the critical line ⋮ On character sums with determinants ⋮ Analytic ranks of automorphic L$L$‐functions and Landau–Siegel zeros ⋮ A quadratic divisor problem and moments of the Riemann zeta-function ⋮ On sums of Kloosterman and Gauss sums ⋮ The twisted mean square and critical zeros of Dirichlet \(L\)-functions ⋮ More than five-twelfths of the zeros of \(\zeta\) are on the critical line ⋮ Exceptional characters and nonvanishing of Dirichlet \(L\)-functions ⋮ Bounds of trilinear sums with Kloosterman fractions ⋮ Fractional parts of Dedekind sums ⋮ Perturbed moments and a longer mollifier for critical zeros of \(\zeta \) ⋮ Correlations of sieve weights and distributions of zeros

Cites Work

• Around the Bombieri-Vinogradov theorem
• Primes in arithmetic progressions to large moduli
• Kloosterman sums and Fourier coefficients of cusp forms
• Bilinear forms with Kloosterman fractions
• The subconvexity problem for Artin \(L\)-functions
• The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
• Fractional parts of Dedekind sums
• Weyl Sums for Quadratic Roots
• On the distribution of solutions to linear equations
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