Identities Involving the Coefficients of a Class of Dirichlet Series. V

DOI10.2307/1995796zbMath0228.10024OpenAlexW4239807791MaRDI QIDQ5635511

Bruce C. Berndt

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995796

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (12)

New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan ⋮ On a class of functions that satisfies explicit formulae involving the Möbius function ⋮ Two general series identities involving modified Bessel functions and a class of arithmetical functions ⋮ Certain extensions of results of Siegel, Wilton and Hardy ⋮ Determinant of Laplacians on Heisenberg manifolds. ⋮ The bundle Laplacian on discrete tori ⋮ Transformation formula for exponential sums involving Fourier coefficients of modular forms ⋮ Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications ⋮ Sums of squares and products of Bessel functions ⋮ Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook ⋮ Bessel Series Expansions of the Epstein Zeta Function and the Functional Equation ⋮ Transformation formulae for Dirichlet polynomials

Cites Work

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• FINITE SUMMATION FORMULAE
• SUMMATION FORMULAE AND SELF-RECIPROCAL FUNCTIONS (II)

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