Ramanujan’s modular equations and Atkin-Lehner involutions

Heng Huat Chan, Mong Lung Lang

Type: Article

Publication Date: 1998-12-01

Citations: 22

DOI: https://doi.org/10.1007/bf02762264

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Locations

Israel Journal of Mathematics - View

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Works That Cite This (21)

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+	Wronskians of theta functions and series for 1/π	2018	Alex Berkovich Heng Huat Chan Michael J. Schlosser
+ PDF Chat	Further explorations of Boyd's conjectures and a conductor 21 elliptic curve	2016	Matilde Laĺın Detchat Samart Wadim Zudilin
+	Modular Equations in Ramanujan’s Lost Notebook	2000	Bruce C. Berndt
+ PDF Chat	Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms	2018	Youssef Abdelaziz S. Boukraa Christoph Koutschan J-M Maillard
+	On Ramanujan’s function k(q)=r(q)r 2(q 2)	2009	S. Barry Cooper
+	New analogues of Clausenʼs identities arising from the theory of modular forms	2011	Heng Huat Chan Yoshio Tanigawa Yifan Yang Wadim Zudilin
+	New analogues of Ramanujan's partition identities	2010	Heng Huat Chan Pee Choon Toh
+ PDF Chat	Mahler measures of a family of non-tempered polynomials and Boyd’s conjectures	2019	Yotsanan Meemark Detchat Samart
+	Renormalization, isogenies and rational symmetries of differential equations	2009	Alin Bostan S. Boukraa S. Hassani J.-M. Maillard J-A Weil N Zenine N. Abarenkova
+ PDF Chat	Modular proofs of Gosper's identities	2022	Liuquan Wang

Works Cited by This (9)

Action	Title	Year	Authors
+	Modular functions in analytic number theory	1970	Marvin I. Knopp
+ PDF Chat	Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations	1997	Bruce C. Berndt Heng Huat Chan Liang-Cheng Zhang
+ PDF Chat	Ramanujan’s theories of elliptic functions to alternative bases	1995	Bruce C. Berndt Saurabh Bhargava Frank G. Garvan
+ PDF Chat	The automorphism group of Leech lattice and elliptic modular functions	1985	Takeshi Kondo
+ PDF Chat	Some Values for the Rogers-Ramanujan Continued Fraction	1995	Bruce C. Bernd Heng Huat Chan
+	Transactions of the American Mathematical Society	2012
+	Ramanujan’s Notebooks	1994	Bruce C. Berndt
+	Ramanujan’s Notebooks	1991	Bruce C. Berndt
+	On the normalizer of γ0(N)	1977	P. G. Kluit