SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)

DOI10.1093/qmath/os-5.1.48zbMath0009.00901OpenAlexW1990637916MaRDI QIDQ4756176

W. L. Ferrar, A. L. Dixon

Publication date: 1934

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/os-5.1.48

zbMATH Keywords

algebra, number theory

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Explicit transformations of certain Lambert series ⋮ New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan ⋮ Two general series identities involving modified Bessel functions and a class of arithmetical functions ⋮ Certain extensions of results of Siegel, Wilton and Hardy ⋮ Identities Involving the Coefficients of a Class of Dirichlet Series. III ⋮ Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory ⋮ Identities Involving the Coefficients of a Class of Dirichlet Series. V ⋮ Sums of squares and products of Bessel functions ⋮ On some relations which are equivalent to functional equations involving the Riemann zeta function ⋮ Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook ⋮ On a theorem of A. I. Popov on sums of squares

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