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

Tom M. Apostol

Type: Article

Publication Date: 1973-04-01

Citations: 18

DOI: https://doi.org/10.2307/2319093

Similar Works

Action	Title	Year	Authors
+	An Elementary Proof of Euler's Formula for z(2m)	2004	Hirofumi Tsumura
+	An Elementary Proof of ∑ ∞ n = 1 1/n 2 = π 2 /6	1987	Boo Rim Choe
+	Elementary Evaluation of ζ(2n)	1975	Bruce C. Berndt
+	Euler's Formula for ζ(2k), Proved by Induction on k	2000	Chun-Gang Ji Yong-Gao Chen
+	An Elementary Proof of Euler's Formula for ζ(2<i>m</i>)	2004	Hirofumi Tsumura
+	Euler's Formula for Zeta(2n)	2018	Timothy W. Jones
+	Another Elementary Proof of Euler's Formula for ζ(2<i>n</i>)	1973	Tom M. Apostol
+	Ramanujan’s Formula for ζ(2n + 1)	2017	Bruce C. Berndt Armin Straub
+	An Elementary Proof of the Formula \Sum ∞ k = 1 1/k 2 = π 2 /6	1961	Yoshio Matsuoka
+	A Proof that Euler Missed: Evaluating ζ(2) the Easy Way	2004	Tom M. Apostol
+	A Proof that Euler Missed: Evaluating ζ(2) the Easy Way	1997	Tom M. Apostol
+	Euler's formulae for ζ(2n) and products of Cauchy variables	2007	Paul Bourgade T. Fujita Marc Yor
+	A Combinatorial Proof of Euler's Formula	1980	Iain T. Adamson
+	An elementary proof of the irrationality of ζ(3)	2009	Yu. V. Nesterenko
+	A New Proof of the Euler Formula	2012	M. I. Shtogrin
+	The Proof of the Conjecture on Euler Numbers	2006	Fei Changling
+	Another proof of Euler's identity	2015	Gleb Glebov
+	A Simple Proof of the Formula ∑ ∞ k = 1 = π 2 /6	1973	Ioannis Papadimitriou
+	Mathematical Pearls: A Recurrence Formula for ζ(2n)	1961	L. Carlitz
+	A Simple Proof that ζ(2) = $$\frac{\pi^{2}}{6}$$	2011	Michael D. Hirschhorn

Action	Title	Year	Authors
+	Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments	2000	H. M. Srivastava
+	On New Representations of the Values of the Dirichlet Beta Function at Even Points	2024	Tatyana Anatolievna Safonova
+	Around the Gauss theorem on the values of Euler’s digamma function at rational points	2024	K. Mirzoev Т. А. Сафонова
+ PDF Chat	A Simple Computation of ζ (2<em>k</em>)	2015	Óscar Ciaurri Luis M. Navas Francisco J. Ruiz Juan Malumbres
+	Finding sums for an infinite class of alternating series	2011	Zhibo Chen Sheng Wei Xue‐Rong Xiao
+ PDF Chat	EVALUATION OF CERTAIN ALTERNATING SERIES	2014	Junesang Choi
+	Novel method for finding ζ(2<b><i>p</i></b>) from a product of sines	2006	Thomas J. Osler
+	Recursive Formulas for ξ(2k) and L(2k-1)	1995	Xuming Chen
+ PDF Chat	On the Song recurrence relation for the Riemann zeta function	2017	Mircea Merca
+	Bibliography	2011

Action	Title	Year	Authors