On a theorem of A. I. Popov on sums of squares

DOI10.1090/proc/13547zbMath1422.11077arXiv1610.05840OpenAlexW2536042894MaRDI QIDQ5274739

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Publication date: 6 July 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05840

zbMATH Keywords

sums of squaresDirichlet seriesBessel functionsRamanujan's lost notebookVoronoï summation formulaDirichlet characters

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Certain extensions of results of Siegel, Wilton and Hardy ⋮ Sums of squares and products of Bessel functions ⋮ SUMS OF SQUARES AND PARTITION CONGRUENCES ⋮ Balanced derivatives, identities, and bounds for trigonometric and Bessel series

Cites Work

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• Weighted divisor sums and Bessel function series. II
• Hecke's functional equation and arithmetical identities
• Weighted divisor sums and Bessel function series. IV
• Circle and divisor problems, and double series of Bessel functions
• Weighted divisor sums and Bessel function series
• Weighted divisor sums and Bessel function series. III
• SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)
• Identities Involving the Coefficients of A Class of Dirichlet Series. VI

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