Ramanujan’s Formula for ζ(2n + 1)

Bruce C. Berndt, Armin Straub

Type: Book-Chapter

Publication Date: 2017-01-01

Citations: 31

DOI: https://doi.org/10.1007/978-3-319-59969-4_2

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Works That Cite This (31)

Action	Title	Year	Authors
+	Generalizations (in the Spirit of Koshliakov) of Some Formulas From Ramanujan’s Lost Notebook	2024	Pedro Ribeiro Semyon Yakubovich
+ PDF Chat	Koshliakov zeta functions I: Modular relations	2021	Atul Dixit Rajat Gupta
+ PDF Chat	Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	2022	Parth Chavan Sarth Chavan Christophe Vignat Tanay Wakhare
+	On the zeros of period functions associated to the Eisenstein series for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">Γ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2021	Soyoung Choi Bo‐Hae Im
+	Functional Relations for Ramanujan Type Sums of Reciprocal Hyperbolic Functions	2018	Ce Xu
+	Extensions of Euler Type Sums and Ramanujan Type Sums	2020	Ce Xu
+ PDF Chat	Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers	2018	Cormac O’Sullivan
+	On squares of odd zeta values and analogues of Eisenstein series	2019	Atul Dixit Rajat Gupta
+	Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	2023	Soumyarup Banerjee Atul Dixit Shivajee Gupta
+	Some infinite series involving hyperbolic functions	2017	Ce Xu

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Action	Title	Year	Authors
+ PDF Chat	On a secant Dirichlet series and Eichler integrals of Eisenstein series	2016	Bruce C. Berndt Armin Straub
+	Zeros of Ramanujan Polynomials	2011	Christopher Smyth Ram Murty Rob Wang
+	The transformation formula for the Dedekind modular function and related functional equations	1957	Shô Iseki
+	Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.	1978	Bruce C. Berndt
+	Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions	2010	Yasushi Komori Kohji Matsumoto Hirofumi Tsumura
+	Certain summations due to Ramanujan, and their generalisations	1951	T. S. Nanjundiah
+ PDF Chat	Eine einheitliche Herleitung einer gewissen Klasse von Transformationsformeln der analytischen Zahlentheorie (I)	1972	Hans Glaeske
+	Zeta-functions, Lambert series and arithmetic functions analogous to Ramanujan's ...-function. II.	1976	Koji Katayama
+ PDF Chat	CHARACTER ANALOGUES OF INFINITE SERIES FROM A CERTAIN MODULAR TRANSFORMATION FORMULA	2011	Sung-Geun Lim
+	FUNCTIONAL EQUATIONS AND SELF-RECIPROCAL FUNCTIONS CONNECTED WITH LAMBERT SERIES	1944	A. P. Guinand