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For an odd and squarefree level N, Kohnen proved that there is a canonically defined subspace [...] S κ + 1 2 n e w ( N ) ⊂ S κ + 1 2 ( N ) , and S κ + 1 2 n e w ( N ) and S 2 k n e w ( N ) $S_{κ + \frac{1}{2}}^{n e w} (N) \subset S_{κ + \frac{1}{2}} (N), and S_{κ + \frac{1}{2}}^{n e w} (N) and S_{2 k}^{n e w} (N)$ are isomorphic as modules over the Hecke algebra. Later he gave a formula for the product [...] a g ( m ) a g ( n ) ¯ $a_{g} (m) \bar{a_{g} (n)}$ of two arbitrary Fourier coefficients of a Hecke eigenform g of halfintegral weight and of level 4N in terms of certain cycle integrals of the corresponding form f of integral weight. To this...

Simple zeros of the Ramanujan ...-Dirichlet series.

J.B. Conrey, A. Ghosh (1988)

Inventiones mathematicae

Some nonzero cohomology of discrete groups.

Y.L. Tong, S.P. Wang (1987)

Journal für die reine und angewandte Mathematik

Some Remarks on Odd Maass Wave Forms (and a Correction to [1]).

James Lee Hafner (1987)

Mathematische Zeitschrift

Some Remarks on Triple L-Functions.

Takakazu Satoh (1986)

Mathematische Annalen

Sommes de Dedekind elliptiques et formes de Jacobi

Abdelmejid Bayad (2001)

Annales de l’institut Fourier

À partir des formes de Jacobi $D_{L} (z, ϕ)$ , on construit une somme de Dedekind elliptique. On obtient ainsi un analogue elliptique aux sommes multiples de Dedekind construites à partir des fonctions cotangentes, étudiées par D. Zagier. En outre, on établit une loi de réciprocité satisfaite par ces nouvelles sommes. Par une procédure de limite, on peut retrouver la loi de réciprocité remplie par les sommes multiples de Dedekind classiques. D’autre part, en les spécialisant en des paramètres de points de 2- division,...

Special values and mixed weight triple products (With an Appendix by Don Blasius).

T. Orloff (1987)

Inventiones mathematicae

Special values of multiple gamma functions

William Duke, Özlem Imamoḡlu (2006)

Journal de Théorie des Nombres de Bordeaux

We give a Chowla-Selberg type formula that connects a generalization of the eta-function to $GL (n)$ with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.

Special values of symmetric power $L$ -functions and Hecke eigenvalues

Emmanuel Royer, Jie Wu (2007)

Journal de Théorie des Nombres de Bordeaux

We compute the moments of $L$ -functions of symmetric powers of modular forms at the edge of the critical strip, twisted by the central value of the $L$ -functions of modular forms. We show that, in the case of even powers, it is equivalent to twist by the value at the edge of the critical strip of the symmetric square $L$ -functions. We deduce information on the size of symmetric power $L$ -functions at the edge of the critical strip in subfamilies. In a second part, we study the distribution of small and...

Currently displaying 1 – 20 of 24

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Displaying 1 – 20 of 24

$S L_{2}$ over complex quadratic number fields. I.

Selberg zeta functions with virtual characters and the class number

Selmer groups and Heegner points in anticyclotomic $ℤ_{p}$ -extensions

Shimura Varieties and Twisted Orbital Integrals.

Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications

Simple zeros of the Ramanujan ...-Dirichlet series.

Some nonzero cohomology of discrete groups.

Some Remarks on Odd Maass Wave Forms (and a Correction to [1]).

Some Remarks on Triple L-Functions.

Sommes de Dedekind elliptiques et formes de Jacobi

Special values and mixed weight triple products (With an Appendix by Don Blasius).

Special values of multiple gamma functions

Special values of symmetric power $L$ -functions and Hecke eigenvalues

Special values of the standard zeta functions for elliptic modular forms.

Special values of twisted symmetric square $L$ -functions and the trace formula

Special values of zeta functions attached to Siegel modular forms

Stabilization of periods of Eisenstein series and Bessel distributions on $G L (3)$ relative to $U (3)$ .

Stable Trace Formula: Elliptic Singular Terms.

Sur les représentations $l$ -adiques associées aux formes modulaires de Hilbert

Sur les valeurs de certaines fonctions $L$ automorphes en leur centre de symétrie

Currently displaying 1 – 20 of 24