On the mean square of an arithmetical error term of the Selberg class in short intervals

DOI10.1142/S1793042116501037zbMath1417.11142OpenAlexW2180975571MaRDI QIDQ2816463

Zhai, Wenguang, Xiaodong Cao, Yoshio Tanigawa

Publication date: 22 August 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042116501037

zbMATH Keywords

sign changesaverages of shifted convolutionmean square estimate in short intervalstruncated Tong-type formula

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (1)

Averages of shifted convolutions of general divisor sums involving Hecke eigenvalues

Cites Work

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• On the general additive divisor problem
• On the mean square of the divisor function in short intervals
• Tong-type identity and the mean square of the error term for an extended Selberg class
• On the variance of sums of divisor functions in short intervals
• Averages of shifted convolutions ofd₃(n)
• Axiomatic Theory of L-Functions: the Selberg Class
• Large values of certain number-theoretic error terms
• The distribution and moments of the error term in the Dirichlet divisor problem

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