Arithmetic exponent pairs for algebraic trace functions and applications

DOI10.2140/ant.2021.15.2123zbMath1496.11109arXiv1603.07060OpenAlexW2308338503WikidataQ114045549 ScholiaQ114045549MaRDI QIDQ2070893

Jie Wu, Ping Xi

Publication date: 25 January 2022

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07060

zbMATH Keywords

Brun-Titchmarsh theoremlinear sievearithmetic exponent pairs\(q\)-analogue of the van der Corput methodtrace functions of \(\ell\)-adic sheaves

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Applications of sieve methods (11N36) Primes in congruence classes (11N13)

Related Items (11)

The Twelfth Moment of Dirichlet L-functions with Smooth Moduli ⋮ A quadratic analogue of Titchmarsh divisor problem ⋮ On algebraic twists with composite moduli ⋮ Bounds on bilinear forms with Kloosterman sums ⋮ Bilinear forms with Kloosterman and Gauss sums in function fields ⋮ Bounds for the quartic Weyl sum ⋮ Quadratic polynomials at prime arguments ⋮ Bounds on bilinear sums of Kloosterman sums ⋮ Counting fundamental solutions to the Pell equation with prescribed size ⋮ On the least common multiple of polynomial sequences at prime arguments ⋮ Exponential sums with reducible polynomials

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