Interaction sums and action of Hecke operators on theta-series
Displaying 41 – 60 of 120
Invarianten endlicher Gruppen und biholomorphe Abbildungen.
E. GOTTSCHLING (1968/1969)
Inventiones mathematicae
Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamoḡlu-Ikeda lift
Hidenori Katsurada, Hisa-aki Kawamura (2014)
Acta Arithmetica
Let k and n be positive even integers. For a cuspidal Hecke eigenform h in the Kohnen plus space of weight k - n/2 + 1/2 for Γ₀(4), let f be the corresponding primitive form of weight 2k-n for SL₂(ℤ) under the Shimura correspondence, and Iₙ(h) the Duke-Imamoḡlu-Ikeda lift of h to the space of cusp forms of weight k for Spₙ(ℤ). Moreover, let be the first Fourier-Jacobi coefficient of Iₙ(h), and be the cusp form in the generalized Kohnen plus space of weight k - 1/2 corresponding to under the...
l-adic representations associated to modular forms over imaginary quadratic fields. II.
Richard Taylor (1994)
Inventiones mathematicae
l-adic representations associated to modular forms over imaginary quadratic fields.
Michael Harris, D. Soudry, R. Taylor (1993)
Inventiones mathematicae
Maps defined by Thetanullwerte.
Riccardo Salvati Manni (1993)
Journal für die reine und angewandte Mathematik
Matrizen mit einem über Q irreduziblen charakteristischen Polynom und die Dimension des Vektorraums der Spitzenformen zur Modulgruppe n-ten Grades und Stufe q>2.
Petra Ploch (1991)
Acta Arithmetica
Modular forms of genus 2 and weight 1.
Rainer Weissauer (1992)
Mathematische Zeitschrift
Mordell-Weil groups of generic Abelian varieties.
Alice Silverberg (1985)
Inventiones mathematicae
Nonvanishing of Siegel-Poincaré series II
Soumya Das, Winfried Kohnen, Jyoti Sengupta (2012)
Acta Arithmetica
On a correspondence between p-adic Siegel-Eisenstein series and genus theta series
Toshiyuki Kikuta, Shoyu Nagaoka (2008)
Acta Arithmetica
On a problem posed by R. Salvati Manni
Michio Ozeki (2011)
Acta Arithmetica
On certain degenerate eigenvalues of Hecke operators
Rainer Weissauer (1992)
Compositio Mathematica
On cubic symplectic metaplectic forms.
N.V. Proskurin (1988)
Journal für die reine und angewandte Mathematik
On Dirichlet Series and Petersson Products for Siegel Modular Forms
Siegfried Böcherer, Francesco Ludovico Chiera (2008)
Annales de l’institut Fourier
We prove that the Dirichlet series of Rankin–Selberg type associated with any pair of (not necessarily cuspidal) Siegel modular forms of degree and weight has meromorphic continuation to . Moreover, we show that the Petersson product of any pair of square–integrable modular forms of weight may be expressed in terms of the residue at of the associated Dirichlet series.
On Integrality of Eisenstein Liftings.
Shin-ichiro Mizumoto (1996)
Manuscripta mathematica
On interaction of Hecke-Shimura rings: symplectic versus orthogonal
Anatoli Andrianov (2012)
Acta Arithmetica
On Minkowski units constructed by special values of Siegel modular functions
Takashi Fukuda, Keiichi Komatsu (2003)
Journal de théorie des nombres de Bordeaux
Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field of modulo . Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group for the special values. Futhermore we construct the full unit group of using modular and circular units under the GRH.
On p-adic Siegel modular forms of non-real Nebentypus
Toshiyuki Kikuta (2012)
Acta Arithmetica
On p-adic Siegel-Eisenstein series of weight k
Yoshinori Mizuno (2008)
Acta Arithmetica