A note on Titchmarsh divisor problem under the generalized Riemann hypothesis

DOI10.1216/rmj.2020.50.2223zbMath1457.11134OpenAlexW3118678808MaRDI QIDQ2219132

Hengcai Tang

Publication date: 19 January 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1609815820

zbMATH Keywords

divisor problemRiemann hypothesisDirichlet \(L\)-function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Fourier coefficients of automorphic forms (11F30) Sums over primes (11L20)

Cites Work

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• Primes in arithmetic progressions to large moduli
• Sur la corrélation des fonctions de Piltz. (On the correlation of Piltz' divisor functions)
• Kloosterman sums and Fourier coefficients of cusp forms
• Shifted convolution and the Titchmarsh divisor problem over 𝔽_q[t]
• Sur le problème des diviseurs de Titchmarsh.
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity
• Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method
• Footnote to the Titchmarsh-Linnik Divisor Problem

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