A new Ramanujan-type identity for \(L(2k+1, \chi_1)\)

DOI10.1007/s11139-022-00661-6OpenAlexW4308747264MaRDI QIDQ2689950

Bibekananda Maji, Shashi Chourasiya, Md Kashif Jamal

Publication date: 14 March 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.09322

zbMATH Keywords

Riemann zeta functionRamanujan polynomialsreciprocal polynomialsodd zeta values

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Real polynomials: location of zeros (26C10)

Related Items (1)

Hurwitz zeta functions and Ramanujan's identity for odd zeta values

Cites Work

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• On a secant Dirichlet series and Eichler integrals of Eisenstein series
• Polynomials with all zeros on the unit circle
• Modular transformations and generalizations of several formulae of Ramanujan
• Series acceleration formulas for Dirichlet series with periodic coefficients
• On the polynomials with all their zeros on the unit circle
• Variations of the Ramanujan polynomials and remarks on \(\zeta(2j+1)/\pi^{2j+1}\)
• Koshliakov zeta functions I: modular relations
• Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values
• On Ramanujan's formula for \(\zeta(1/2)\) and \(\zeta(2m+1)\)
• Secant zeta functions
• Special values of trigonometric Dirichlet series and Eichler integrals
• Remarks concerning the values of the Riemann zeta function at integral, odd arguments
• Transcendental values of certain Eichler integrals
• Zeta functions and Eichler integrals
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• On Eisenstein series with characters and the values of Dirichlet L-functions
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
• Ramanujan’s Formula for ζ(2n + 1)
• GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR
• Generalized Lambert series and arithmetic nature of odd zeta values
• Number Theory
• Self-inversive polynomials with all zeros on the unit circle
• Irrationality of infinitely many values of the zeta function at odd integers.

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