Voronoï bound for a generalized divisor function

DOI10.1007/s12044-023-00754-2zbMath1524.11148OpenAlexW4387895534MaRDI QIDQ6062253

Unnamed Author, Bibekananda Maji, Anuvrat Jaindungarwal

Publication date: 30 November 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-023-00754-2

zbMATH Keywords

divisor functiongeneralized divisor functionDirichlet divisor problemVoronoï bound

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Rate of growth of arithmetic functions (11N56)

Cites Work

• New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan
• Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function
• On Ramanujan's formula for \(\zeta(1/2)\) and \(\zeta(2m+1)\)
• Exponential Sums and Lattice Points III
• The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved
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