Results 81 to 90 of about 230 (149)

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

Congruences involving arithmetic progressions for weakly holomorphic modular forms

Advances in Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

P-adic analysis and mock modular forms [PDF]

, 2011
A mock modular form f+ is the holomorphic part of a harmonic Maass form f. The non-holomorphic part of f is a period integral of a cusp form g, which we call the shadow of f+.
Kent, Zachary A.
core  

Petersson inner products of weight-one modular forms

, 2019
In this paper we study the regularized Petersson product between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight-one modular form with integral Fourier coefficients.
Viazovska, Maryna
core   +2 more sources

Regularized Petersson inner products for meromorphic modular forms

, 2016
We investigate the history of inner products within the theory of modular forms. We first give the history of the applications of Petersson's original definition for the inner product of $S_{2k}$ and then recall Zagier's extension to a non-degenerate ...
Kane, BR
core  

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  

Galois representations for holomorphic Siegel modular forms

, 2013
We prove local–global compatibility (up to a quadratic twist) of Galois representations associated to holomorphic Hilbert–Siegel modular forms in many cases (induced from Borel or Klingen parabolic), and as a corollary we obtain a conjecture of Skinner ...
Jorza, Andrei
core  

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

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

New percolation crossing formulas and second-order modular forms

, 2009
We consider the three crossing probability densities for percolation recently found via conformal field theory [23]. We prove that all three of them (i) may be simply expressed in terms of Cardy’s [4] and Watts’ [24] crossing probabilities, (ii) are ...
Diamantis, Nikolaos, Kleban, Peter
core   +1 more source

p-adic vertex operator algebras. [PDF]

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