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Modular Forms

2019
The theory of Modular Forms has been central in mathematics with a rich history and connections to many other areas of mathematics. The workshop explored recent developments and future directions with a particular focus on connections to the theory of periods.
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Modular Forms from Codes

Canadian Journal of Mathematics, 1980
In this paper we construct modular forms from combinatorial designs, and codes over finite fields. We construct codes from designs, and lattices from codes. Then we use the combinatorial properties of the designs and the weight (or shape) structures of the codes to study the theta functions of the associated lattices. These theta functions are shown to
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Congruence Restricted Modular Forms

The Ramanujan Journal, 2005
For \(f(z)\) given on the upper half-plane by an exponential series \[ f(z)= \sum^\infty_{n=n_0}a_ne^{2\pi i(n+x)z},0\leq k0), \] a corresponding ``congruence restricted'' exponential series. The author points out that in recent years ``several people who work with modular forms have made and used the following observation: often, when \(f(z)\) is a ...
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On Picard Modular Forms

Mathematische Nachrichten, 1997
AbstractWe study moduli spaces of principally polarized abelian varieties with an automorphism of finite order. After some examples (e. g. hermitian modular forms) we compute the ring of Picard modular forms in the case considered by Picard.
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Triple product p-adic L-functions associated to finite slope p-adic families of modular forms

Duke Mathematical Journal, 2021
Fabrizio Andreatta, Adrian Iovita
exaly  

The arithmetic of the values of modular functions and the divisors of modular forms

Compositio Mathematica, 2004
Jan Hendrik Bruinier, Ken Ono
exaly  

On the anticyclotomic Iwasawa main conjecture for modular forms

Compositio Mathematica, 2015
Ming-Lun Hsieh
exaly  

Modular Forms

2017
Henri Cohen, Fredrik Strömberg
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