Ramanujan's summation method

zbMath0884.40008MaRDI QIDQ1373337

Éric Delabaere, Marc-Antoine Coppo, Bernard Candelpergher

Publication date: 8 December 1997

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

Ramanujan sumEuler-Maclaurin constant

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Evaluation of number-theoretic constants (11Y60)

Related Items (8)

A note on some constants related to the zeta-function and their relationship with the Gregory coefficients ⋮ The SIAM 100-Digit Challenge: a decade later. Inspirations, ramifications, and other eddies left in its wake ⋮ On some formulae related to Euler sums ⋮ On irrationality criteria for the Ramanujan summation of certain series ⋮ A new class of identities involving Cauchy numbers, harmonic numbers and zeta values ⋮ Voros coefficients of the Gauss hypergeometric differential equation with a large parameter ⋮ The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis ⋮ Ramanujan summation and the exponential generating function \(\sum_{k=0}^{\infty}\frac{z^{k}}{k!}\zeta'(-k)\)

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