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Displaying 21 – 40 of 309

On arbitrary products of eigenforms

Arvind Kumar, Jaban Meher (2016)

Acta Arithmetica

We characterize all the cases in which products of arbitrary numbers of nearly holomorphic eigenforms and products of arbitrary numbers of quasimodular eigenforms for the full modular group SL₂(ℤ) are again eigenforms.

On arithmetic Fuchsian groups and their characterizations

Slavyana Geninska (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

This is a small survey paper about connections between the arithmetic and geometric properties in the case of arithmetic Fuchsian groups.

On arithmetic quotients of the Siegel upper half space of degree two

Joachim Schwermer (1986)

Compositio Mathematica

On Artin L-Functions Associated to Hilbert Modular Forms of Weight One.

J.B. Tunnell, J.D. Rogawski (1983)

Inventiones mathematicae

On Automorphic Forms and Hodge Theory.

Jürgen Neukirch, Pilar Báyer (1981)

Mathematische Annalen

On Automorphic Forms on the Unitary Symplectic Group Sp (n) and SL2 (R).

Tomoyoshi Ibukiyama, Yasutaka Ihara (1987)

Mathematische Annalen

On automorphic L-functions for the Jacobi group of degree one and a relation with L-functions for Jacobi forms.

Rolf Berndt, Jost Homrighausen (1997)

Manuscripta mathematica

On basis problem for Siegel modular forms of degree 2

Michio Ozeki (1976)

Acta Arithmetica

On Certain Arithmetic Automorphic Forms for SU (1, q).

Stephen S. Kudla (1979)

Inventiones mathematicae

On certain congruences for Fourier coefficients of classical cusp forms

Tsuneo Ishikawa (2003)

Acta Arithmetica

On certain degenerate eigenvalues of Hecke operators

Rainer Weissauer (1992)

Compositio Mathematica

On Certain Dirichlet Series Associated with Automorphic Forms on SL (2, C).

Koichi Takase (1986)

Manuscripta mathematica

On Certain Dirichlet Series Associated with Hilbert Modular Forms and Rankin's Method.

Tetsuya Asai (1977)

Mathematische Annalen

On certain Euler products for SU $(2, 1)$

Stephen S. Kudla (1980)

Compositio Mathematica

On certain $G L (6)$ form and its Rankin-Selberg convolution

Amrinder Kaur, Ayyadurai Sankaranarayanan (2024)

Czechoslovak Mathematical Journal

We consider $L_{G} (s)$ to be the $L$ -function attached to a particular automorphic form $G$ on $G L (6)$ . We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg $L$ -function $L_{G \times G} (s)$ . As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of $L_{G \times G} (s)$ .

On certain Galois representations related to the modular curve $X_{1} (p)$

Ehud De Shalit (1995)

Compositio Mathematica

On certain infinite products III

Masao Toyoizumi (1988)

Acta Arithmetica

On certain problems in the analytical arithmetic of quadratic forms arising from the theory of curves of genus 2 with elliptic differentials.

Ian Kiming (1995)

Manuscripta mathematica

On Certain Vector Valued Siegel Modular Forms of Degree Two.

Takakazu Satoh (1986)

Mathematische Annalen

On classical weight one forms in Hida families

Mladen Dimitrov, Eknath Ghate (2012)

Journal de Théorie des Nombres de Bordeaux

We give precise estimates for the number of classical weight one specializations of a non-CM family of ordinary cuspidal eigenforms. We also provide examples to show how uniqueness fails with respect to membership of weight one forms in families.

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