On the Chowla and twin primes conjectures over \(\mathbb{F}_q[T]\)

DOI10.4007/annals.2022.196.2.1zbMath1499.14038arXiv1808.04001OpenAlexW2971524145WikidataQ123350021 ScholiaQ123350021MaRDI QIDQ2171416

Mark Shusterman, William F. Sawin

Publication date: 9 September 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04001

zbMATH Keywords

short character sumslevel of distribution for irreducible polynomialsparity barrier over function fieldstwin irreducible polynomials

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Goldbach-type theorems; other additive questions involving primes (11P32) Polynomials over finite fields (11T06) Étale and other Grothendieck topologies and (co)homologies (14F20) Primes in congruence classes (11N13)

Related Items (7)

Correlations of multiplicative functions in function fields ⋮ An induction principle for the Bombieri-Vinogradov theorem over \(\mathbb{F}_q [t\) and a variant of the Ttchmarsh divisor problem] ⋮ Chowla and Sarnak conjectures for Kloosterman sums ⋮ Correlation of multiplicative functions over Fq[x$\mathbb {F}_q[x]$: A pretentious approach] ⋮ Bilinear forms with Kloosterman and Gauss sums in function fields ⋮ Enveloping sieve related to the Hardy-Littlewood irreducible tuple conjecture in a function field ⋮ Correlation of arithmetic functions over \(\mathbb{F}_q[T\)]

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