LATTICE-POINT SUMMATION FORMULAE

DOI10.1093/qmath/os-2.1.31zbMath0001.13001OpenAlexW2032769167MaRDI QIDQ4480906

W. L. Ferrar, A. L. Dixon

Publication date: 1931

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

Full work available at URL: https://doi.org/10.1093/qmath/os-2.1.31

zbMATH Keywords

divisor functionVoronoi formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Lattice points in specified regions (11P21)

Related Items (16)

An extension of Maass theory to general Dirichlet series ⋮ New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan ⋮ Voronoi-type identity for a class of arithmetical functions via the Laplace transform ⋮ Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications ⋮ Character analogues of Cohen-type identities and related Voronoï summation formulas ⋮ Certain extensions of results of Siegel, Wilton and Hardy ⋮ ON THE SUMMATION FORMULA FOR THE CERTAIN ARITHMETIC FUNCTION ⋮ GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR ⋮ Identities Involving the Coefficients of a Class of Dirichlet Series. V ⋮ A note on the Voronoi summation formula ⋮ Identities Involving the Coefficients of a Class of Dirichlet Series. VII ⋮ On some relations which are equivalent to functional equations involving the Riemann zeta function ⋮ Transformation formulae for Dirichlet polynomials ⋮ Weighted divisor sums and Bessel function series. V. ⋮ The average behaviour of the error term in a new kind of the divisor problem ⋮ Once more on the function \(\sigma_ A(M)\)

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