On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution

Tetsuya Asai

Type: Article

Publication Date: 1976-01-01

Citations: 52

DOI: https://doi.org/10.2969/jmsj/02810048

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Journal of the Mathematical Society of Japan - View - PDF

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Works That Cite This (52)

Action	Title	Year	Authors
+	On the congruence of modular forms	1987	Jacob Sturm
+	Ap-adic measure attached to the zeta functions associated with two elliptic modular forms. I	1985	Haruzo Hida
+	Second Moments and simultaneous non-vanishing of GL(2) automorphic L-series	2013	Jeffrey Hoffstein Min Lee
+	Fourier expansions of GL(2) newforms at various cusps	2010	Dorian Goldfeld Joseph Hundley Min Lee
+	Borcherds products and Chern classes of Hirzebruch-Zagier divisors	1999	Jan Hendrik Bruinier
+	Numerical computation of Petersson inner products and $q$-expansions	2018	Dan J. Collins
+ PDF Chat	Anticyclotomic p-adic L-functions and Ichino’s formula	2019	Dan J. Collins
+ PDF Chat	Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications	2020	Jan Hendrik Bruinier Benjamin Howard Stephen S. Kudla Michael Rapoport Tonghai Yang
+ PDF Chat	Heights of Kudla–Rapoport divisors and derivatives of $$L$$ L -functions	2014	Jan Hendrik Bruinier Benjamin Howard Tonghai Yang
+ PDF Chat	Congruences between Hilbert Cusp Forms	2018	Hiroshi Saitō M. Yamauchi

Works Cited by This (9)

Action	Title	Year	Authors
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner
+	On a convolution ofL-series	1969	A. P. Ogg
+	On the eigenvalues of Hecke operators	1969	A. P. Ogg
+	On the functional equation of certain Dirichlet series	1969	Koji Doi Hidehisa Naganuma
+	On Automorphic Forms on GL 2 and Hecke Operators	1971	Toshitsune Miyake
+	On the Holomorphy of Certain Dirichlet Series	1975	Goro Shimura
+ PDF Chat	On the coincidence of two Dirichlet series associated with cusp forms of Hecke's ``Neben''-type and Hilbert modular forms over a real quadratic field	1973	Hidehisa Naganuma
+	On the holomorphy of certain Dirichlet series	2002	Goro Shimura
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura