over complex quadratic number fields. I.
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Schreiben an Herrn Borchardt über die Theorie der elliptischen Modul-Functionen.
R. Dedekind (1877)
Journal für die reine und angewandte Mathematik
Second moments of holomorphic Hilbert modular forms and subconvexity
Henry H. Kim (2011)
Acta Arithmetica
Second order modular forms
G. Chinta, N. Diamantis (2002)
Acta Arithmetica
Selberg Zeta function on an exceptional domain.
Henry H. Kim (1994)
Manuscripta mathematica
Selberg zeta functions associated with a theta multiplier system of SL2(Z) and Jacobi forms.
Tsuneo Arakawa (1992)
Mathematische Annalen
Selberg zeta functions with virtual characters and the class number
Jeffrey Stopple (1989)
Acta Arithmetica
Selberg's trace formula on the -regular tree and applications.
Terras, Audrey, Wallace, Dorothy (2003)
International Journal of Mathematics and Mathematical Sciences
Self-conjugate vector partitions and the parity of the spt-function
George E. Andrews, Frank G. Garvan, Jie Liang (2013)
Acta Arithmetica
Let spt(n) denote the total number of appearances of the smallest parts in all the partitions of n. Recently, we found new combinatorial interpretations of congruences for the spt-function modulo 5 and 7. These interpretations were in terms of a restricted set of weighted vector partitions which we call S-partitions. We prove that the number of self-conjugate S-partitions, counted with a certain weight, is related to the coefficients of a certain mock theta function studied by the first author,...
Selfdual and non-selfdual 3-dimensional Galois representations
Bert Van Geemen, Jaap Top (1995)
Compositio Mathematica
Selmer groups and Heegner points in anticyclotomic -extensions
Massimo Bertolini (1995)
Compositio Mathematica
Septic theta function identities in Ramanujan's lost notebook
Seung Hwan Son (2001)
Acta Arithmetica
Series and iterations for 1/π
Shaun Cooper (2010)
Acta Arithmetica
Séries de Dirichlet et fonctions automorphes
André Weil (1966/1968)
Séminaire Bourbaki
Séries d'Eisenstein et transcendance
Daniel Bertrand (1976)
Bulletin de la Société Mathématique de France
Séries thêta des formes quadratiques indéfinies
Marie-France Vignéras (1975/1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Several-variable -adic families of Siegel-Hilbert cusp eigensystems and their Galois representations
J. Tilouine, E. Urban (1999)
Annales scientifiques de l'École Normale Supérieure
S-extremal strongly modular lattices
Gabriele Nebe, Kristina Schindelar (2007)
Journal de Théorie des Nombres de Bordeaux
S-extremal strongly modular lattices maximize the minimum of the lattice and its shadow simultaneously. They are a direct generalization of the s-extremal unimodular lattices defined in [6]. If the minimum of the lattice is even, then the dimension of an s-extremal lattices can be bounded by the theory of modular forms. This shows that such lattices are also extremal and that there are only finitely many s-extremal strongly modular lattices of even minimum.
Sheaves of bounded p-adic logarithmic differential forms
Elmar Grosse-Klönne (2007)
Annales scientifiques de l'École Normale Supérieure
Shimura correspondence of Maass wave forms of half integral weight
Hisashi Kojima (1995)
Acta Arithmetica
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