On some relations which are equivalent to functional equations involving the Riemann zeta function

DOI10.1007/BF01110101zbMath0224.33008MaRDI QIDQ2548360

Fritz Oberhettinger, Kusum Soni

Publication date: 1972

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171750

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (10)

Voronoi–Nasim summation formulas and index transforms ⋮ An extension of Maass theory to general Dirichlet series ⋮ 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 ⋮ Character analogues of Cohen-type identities and related Voronoï summation formulas ⋮ Certain extensions of results of Siegel, Wilton and Hardy ⋮ Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook ⋮ A general class of Voronoi's and Koshliakov–Ramanujan's summation formulas involvingd_k(n) ⋮ On squares of odd zeta values and analogues of Eisenstein series

Cites Work

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• A Class of Fourier Kernels
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• SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)
• Some Solutions of the Equation F (t ) = F (t ⁻¹ )
• ON THE SUMMATION FORMULAE OF VORONOÏ AND POISSON
• FINITE SUMMATION FORMULAE
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung

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