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

DOI10.2307/1995175zbMath0191.33003OpenAlexW4242014141MaRDI QIDQ5585481

Bruce C. Berndt

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1995175

zbMATH Keywords

identitiespairs of Dirichlet series

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (16)

An extension of Maass theory to general Dirichlet series ⋮ On a symmetric identity of Ramanujan involving the sum of two squares function ⋮ 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 ⋮ On the Epstein zeta function and the zeros of a class of Dirichlet series ⋮ Certain extensions of results of Siegel, Wilton and Hardy ⋮ 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 ⋮ Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications ⋮ Sums of squares and products of Bessel functions ⋮ On the mean value of generalized Dirichlet \(L\)-functions with weight of the character sums ⋮ On asymptotic properties of the generalized Dirichlet L-functions ⋮ Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook ⋮ On rapidly convergent series for the Riemann zeta-values via the modular relation ⋮ The mean value of the generalized Dirichlet L-functions with the weight of the Gauss sums ⋮ A class of identities associated with Dirichlet series satisfying Hecke’s functional equation

Cites Work

• Hecke's functional equation and arithmetical identities
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• Some properties of modular relations
• Hecke's functional equation and the average order of arithmetical functions
• SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)
• Identities Involving the Coefficients of a Class of Dirichlet Series. I
• Generalised Dirichlet series and Hecke's functional equation
• Identities Involving the Coefficients of a Class of Dirichlet Series.
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