Results 71 to 80 of about 156 (139)

A basis for the space of weakly holomorphic Drinfeld modular forms of level T

Journal of Number Theory
In this article, we explicitly construct a canonical basis for the space of certain weakly holomorphic Drinfeld modular forms for $Γ_0(T)$ (resp., for $Γ_0^+(T)$) and compute the generating function satisfied by the basis elements. We also give an explicit expression for the action of the $Θ$-operator, which depends on the divisor of meromorphic ...
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Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras

Transactions of the American Mathematical Society, 2015
In this paper, we compute basis elements of certain spaces of weight 0 0 weakly holomorphic modular forms and consider the ...
Kim, Henry H., Lee, Kyu-Hwan, Zhang, Yichao   +2 more
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Real Quadratic Analogs of Traces of Singular Moduli

, 2017
In this paper, regularized Petersson inner products of certain weight weakly holomorphic (or harmonic) modular forms are expressed in terms of real quadratic analogs of traces of singular moduli.
Duke, W., Imamoḡlu, Ö., Tóth, Á.
core  

A single-variable proof of the omega SPT congruence family over powers of 5. [PDF]

Ramanujan J, 2023
Smoot NA.
europepmc   +1 more source

Congruences for the Coefficients of Weakly Holomorphic Modular Forms

81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Recent works have used the theory of modular forms to establish linear congruences for the partition function and for traces of singular moduli.
Treneer, Stephanie
core  

Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]

Ramanujan J, 2021
Klein D, Kupka J.
europepmc   +1 more source

A Note on the Transcendence of Zeros of a Certain Family of Weakly Holomorphic Forms

Recently, Duke and Jenkins have studied a certain family of modular forms fk,m, that form a natural basis of the space of weakly holomorphic modular forms of weight k on SL2(Z).
Swisher, Holly, Jennings-Shaffer, Chris
core  

Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source

p-adic vertex operator algebras. [PDF]

Res Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

L-series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems

Canadian Journal of Mathematics
Abstract We introduce the L-series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued harmonic weak Maass forms, Jacobi forms, and elliptic modular forms of half-integral weight in Kohnen plus space.
Lim, Subong, Raji, Wissam
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