On squares of odd zeta values and analogues of Eisenstein series
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Publication:2326905
DOI10.1016/j.aam.2019.06.003zbMath1470.11219OpenAlexW2953783022MaRDI QIDQ2326905
Publication date: 10 October 2019
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2019.06.003
Related Items (4)
Hurwitz zeta functions and Ramanujan's identity for odd zeta values ⋮ Identities associated to a generalized divisor function and modified Bessel function ⋮ On Ramanujan's formula for \(\zeta(1/2)\) and \(\zeta(2m+1)\) ⋮ Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values
Cites Work
- New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan
- Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations
- Some mathematical constants
- Modular transformations and generalizations of several formulae of Ramanujan
- Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers
- On some relations which are equivalent to functional equations involving the Riemann zeta function
- Euler’s constant: Euler’s work and modern developments
- Transcendental values of certain Eichler integrals
- On some applications of formulae of Ramanujan in the analysis of algorithms
- Ramanujan’s Formula for ζ(2n + 1)
- Comments on some formulae of Ramanujan
- Some Solutions of the Equation F (t ) = F (t −1 )
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