A Simple Computation of ζ (2<em>k</em>)

DOI10.4169/AMER.MATH.MONTHLY.122.5.444zbMath1350.40002OpenAlexW2395435990WikidataQ58162301 ScholiaQ58162301MaRDI QIDQ3466031

Juan Luis Varona, Francisco J. Ruiz, Óscar Ciaurri, Luis M. Navas

Publication date: 29 January 2016

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.122.5.444

zbMATH Keywords

Bernoulli polynomials\(\zeta(2k)\)

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Approximation to limiting values (summation of series, etc.) (40A25) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Related Items (8)

Revisiting the Riemann Zeta function at positive even integers ⋮ A Short and Elementary Proof of the Basel Problem ⋮ Sums of quadratic half integer harmonic numbers of alternating type ⋮ Half-integer values of the sums of harmonic numbers of order two ⋮ Numerical calculation of the Riemann zeta function at odd-integer arguments: a direct formula method ⋮ Properties of interpolatory quadrature with equidistant nodes on the unit circle ⋮ Harmonic numbers at half integer values ⋮ Green’s Functions and Euler’s Formula for $$\zeta (2n)$$

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