On Hilbert and quaternionic cusp forms (original) (raw)

Hecke operators with respect to the modular group of quaternions

Aloys Krieg

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1990

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Quaternionic and Hilbert modular forms and their Galois representations (second version)

Jacques Tilouine

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Koecher-maaß-series for modular forms of quaternions

Aloys Krieg

Manuscripta Mathematica, 1990

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Annals of Mathematics 174 (2011), 439–484 doi: 10.4007/annals.2011.174.1.12 Hilbert modular forms and

Henri Darmon

2016

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2-Dimensional vector-valued modular forms

Geoffrey Mason

The Ramanujan Journal, 2008

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Classification of vector-valued modular forms of dimension less than six

Geoffrey Mason

arXiv (Cornell University), 2009

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Hecke Operators and the q-expansion of modular forms

Ken Ono

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A representation theoretic approach to Kohnen's plus space of modular forms of half integral weight

Gordan Savin

2009

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On modular forms associated with indefinite quadratic forms of signature (2,n?2)

Takayuki Oda

Mathematische Annalen, 1977

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Generalized modular forms

Geoffrey Mason

Journal of Number Theory, 2003

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On newforms of half-integral weight and Jacobi forms

manickam murugesan

Journal of Number Theory, 2018

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Spectral correspondences for Maass waveforms on quaternion groups

Terrence Blackman

Journal of Number Theory, 2016

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Differential operators on Hilbert modular forms

Youngju Choie

Journal of Number Theory, 2007

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Definite orthogonal modular forms: computations, excursions, and discoveries

Adam Logan

Research in Number Theory

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Explicit determination of images of Galois representations attached to Hilbert modular forms

Mladen Dimitrov

Journal of Number Theory, 2006

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A newform theory for Katz modular forms

Berhanu Mamo

2020

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A correspondence between quaternary quadratic forms

Paul Ponomarev

1976

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On the Fourier coefficients of modular forms of half-integral weight

Youngju Choie

Forum Mathematicum, 2010

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Affine Lie algebras and Hecke modular forms

Victor Kac

Bulletin of the American Mathematical Society, 1980

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Hecke operators on certain subspaces of integral weight modular forms

kenny Brown

International Journal of Number Theory, 2014

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The connection between quadratic forms and the extended modular group

OSMAN BİZİM

Mathematica Bohemica, 2003

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Families of automorphic forms on definite quaternion algebras and Teitelbaum’s conjecture

Henri Darmon

2010

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Modular forms on indefinite orthogonal groups of rank three

Gordan Savin

Journal of Number Theory, 2021

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On generalized modular forms and their applications

Geoffrey Mason

Nagoya Math. J, 2008

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Hecke eigenforms in the Cuspidal Cohomology of Congruence Subgroups of SL(3,Z)

Jaap Top

1995

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Metaplectic stacks and vector-valued modular forms of half-integral weight

Henri Darmon

2014

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Vector-valued modular forms and Poincar� series

Geoffrey Mason

Ill J Math, 2004

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Pullback formula for vector valued Siegel modular forms and its applications

noritomo kozima

arXiv (Cornell University), 2021

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Modular Hecke Algebras and their Hopf Symmetry

Henri Moscovici

2003

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A note on the Fourier coefficients of half-integral weight modular forms

Narasimha Kumar

Archiv der Mathematik, 2014

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On the structure of modules of vector-valued modular forms

Geoffrey Mason

Ramanujan Journal, 2017

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Vector-valued modular forms and Poincaré series

Geoffrey Mason

Illinois Journal of Mathematics

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Explicit formulas and vanishing conditions for certain coefficients of Drinfeld-Goss Hecke eigenforms

Ahmad El-Guindy

Proceedings of the American Mathematical Society, 2018

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Non vanishing of Central values of modular L-functions for Hecke eigenforms of level one

Youngju Choie

Arxiv preprint arXiv:1001.5181, 2010

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2-ADIC Properties of Certain Modular Forms and Their Applications to Arithmetic Functions

Ken Ono

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