Arithmetic functions in short intervals and the symmetric group

DOI10.2140/ant.2018.12.1243zbMath1406.11094arXiv1609.02967OpenAlexW2548102456WikidataQ129419746 ScholiaQ129419746MaRDI QIDQ1663076

Brad Rodgers

Publication date: 21 August 2018

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

Full work available at URL: https://arxiv.org/abs/1609.02967

zbMATH Keywords

random matricessymmetric grouparithmetic in function fields

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic theory of polynomial rings over finite fields (11T55) Relations with random matrices (11M50)

Related Items (9)

Sums of divisor functions and von Mangoldt convolutions in \(\mathbb{F}_q [T\) leading to symplectic distributions] ⋮ A penalised model reproducing the mod-Poisson fluctuations in the Sathé-Selberg theorem ⋮ Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t\)] ⋮ On a conjecture of Montgomery and Soundararajan ⋮ Square-root cancellation for sums of factorization functions over short intervals in function fields ⋮ Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋) ⋮ Correlation of arithmetic functions over \(\mathbb{F}_q[T\)] ⋮ The variance of the number of sums of two squares in [inline-graphic 01 [T] in short intervals] ⋮ Variance of sums in short intervals and \(L\)-functions in \(\mathbb{F}_q [t\)]

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