Selberg zeta functions with virtual characters and the class number
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Séries thêta des formes quadratiques indéfinies
Marie-France Vignéras (1975/1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Shimura correspondence of Maass wave forms of half integral weight
Hisashi Kojima (1995)
Acta Arithmetica
Shimura lifting on weak Maass forms
Youngju Choie, Subong Lim (2016)
Acta Arithmetica
There is a Shimura lifting which sends cusp forms of a half-integral weight to holomorphic modular forms of an even integral weight. Niwa and Cipra studied this lifting using the theta series attached to an indefinite quadratic form; later, Borcherds and Bruinier extended this lifting to weakly holomorphic modular forms and harmonic weak Maass forms of weight 1/2, respectively. We apply Niwa's theta kernel to weak Maass forms by using a regularized integral. We show that the lifted function satisfies...
Shimuras Reziprozitätsgesetz für den Körper der arithmetischen elliptischen Funktionen beliebiger Stufe.
Rolf Berndt (1983)
Journal für die reine und angewandte Mathematik
Siegel Cusp Forms as Holomorphic Differential Forms on Certain Compact Varieties.
Kazuyuki Hatada (1983)
Mathematische Annalen
Siegelsche Modulfunktionen.
Eberhard Freitag (1977)
Jahresbericht der Deutschen Mathematiker-Vereinigung
Singular Holomorphic Representations and Singular Modular Forms.
Hans Plesner Jakobsen, Michael Harris (1982)
Mathematische Annalen
Some basic properties of theta series. (Quelques propriétés de base de séries théta.)
Mœglin, Colette (1997)
Journal of Lie Theory
Some eta-identities arising from theta series.
Günter Köhler (1990)
Mathematica Scandinavica
Some product formulas for theta functions in one and two variables
David Grant (2002)
Acta Arithmetica
Some Remarks on Triple L-Functions.
Takakazu Satoh (1986)
Mathematische Annalen
Some theorems on the explicit evaluation of Ramanujan's theta-functions.
Baruah, Nayandeep Deka, Bhattacharyya, P. (2004)
International Journal of Mathematics and Mathematical Sciences
Some theorems on the explicit evaluations of singular moduli.
Bairy, K. Sushan (2009)
General Mathematics
Some theta functions identities associated with the modular equations of degree 5.
Liu, Zhi-Guo (2001)
Integers
Sommes de Gauss et séries thêta
Vadim Schechtman (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
Special values and mixed weight triple products (With an Appendix by Don Blasius).
T. Orloff (1987)
Inventiones mathematicae
Special values of the elliptic modular function and factorization formulae.
David R. Dorman (1988)
Journal für die reine und angewandte Mathematik
Special values of zeta functions attached to Siegel modular forms
Michael Harris (1981)
Annales scientifiques de l'École Normale Supérieure
Square Integrable Automorphic Forms and Cohomology of Arithmetic Quotients of SU (p,q).
Nolan R. Wallach (1984)
Mathematische Annalen
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