Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Another Elementary Proof of Euler's Formula for ζ(2n) - MaRDI portal

Another Elementary Proof of Euler's Formula for ζ(2n)

From MaRDI portal
Publication:5685173

DOI10.2307/2319093zbMath0267.10050OpenAlexW4229836012MaRDI QIDQ5685173

Tom M. Apostol

Publication date: 1973

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

Full work available at URL: https://doi.org/10.2307/2319093




Related Items (23)

On families of linear recurrence relations for the special values of the Riemann zeta functionAnother Proof of the Famous Formula for the Zeta Function at Positive Even IntegersHidden lemmas in Euler's summation of the reciprocals of the squaresAn elementary proof of Ramanujan's identity for odd zeta valuesThe Riemann Zeta Function With Even Arguments as Sums Over Integer PartitionsAn Elementary Derivation of Finite Cotangent SumsBeyond the Basel problem: Euler’s derivation of the general formula for ζ (2n)Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\)Unnamed ItemFractional Edgeworth expansions for one-dimensional heavy-tailed random variables and applicationsTrigonometric sums and Riemann zeta functionThe most elementary proof that ?The free tangent lawAnother proof of Euler’s formula for $\zeta(2k)$Finding sums for an infinite class of alternating seriesReciprocal relations for trigonometric sumsThe trace method for cotangent sumsEuler-Riemann zeta function and Chebyshev-Stirling numbers of the first kindA new proof of Euler's formula for ζ(2n)Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbersSome simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer argumentsGreen’s Functions and Euler’s Formula for $$\zeta (2n)$$Explicit evaluations and reciprocity theorems for finite trigonometric sums




This page was built for publication: Another Elementary Proof of Euler's Formula for ζ(2n)