Weighted divisor sums and Bessel function series. III

DOI10.1515/CRELLE-2012-0006zbMath1326.11057OpenAlexW2026176153MaRDI QIDQ2861473

No author found.

Publication date: 8 November 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2012-0006

zbMATH Keywords

divisor problemBessel functionscircle problemtrigonometric seriesRamanujan's lost notebook

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Trigonometric and exponential sums (general theory) (11L03)

Related Items (9)

A weighted divisor problem ⋮ Sums of divisors functions and Bessel function series ⋮ New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan ⋮ Weighted divisor sums and Bessel function series. IV ⋮ Identities for trigonometric divisor sums ⋮ Two-parameter identities for divisor sums in algebraic number fields ⋮ Balanced derivatives, identities, and bounds for trigonometric and Bessel series ⋮ Weighted divisor sums and Bessel function series. V. ⋮ On a theorem of A. I. Popov on sums of squares

This page was built for publication: Weighted divisor sums and Bessel function series. III