Results 41 to 50 of about 11,403,908 (364)
Zeros of modular forms of half integral weight [PDF]
, 2016 We study canonical bases for spaces of weakly holomorphic modular forms of level 4 and weights in $\mathbb{Z}+\frac{1}{2}$ and show that almost all modular forms in these bases have the property that many of their zeros in a fundamental domain for ...
Folsom, Amanda, Jenkins, Paul
core +2 more sources
On monotone contraction mappings in modular function spaces
, 2015 We prove the existence of fixed points of monotone-contraction mappings in modular function spaces. This is the modular version of the Ran and Reurings fixed point theorem.
M. Alfuraidan, M. Bachar, M. Khamsi
semanticscholar +1 more source
Product Representation of Dyon Partition Function in CHL Models [PDF]
, 2006 A formula for the exact partition function of 1/4 BPS dyons in a class of CHL models has been proposed earlier. The formula involves inverse of Siegel modular forms of subgroups of Sp(2,Z).
David, Justin R. +2 more
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Perturbed integral equations in modular function spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2003 We focus our attention on a class of perturbed integral equations in modular spaces, by using fixed point Theorem I.1 (see [1]).
Ahmed Hajji, E. Hanebaly
doaj +1 more source
Generalized modular fractal spaces and fixed point theorems
Advances in Difference Equations, 2021 In this article, we introduce a new concept of Hausdorff distance through generalized modular metric on nonempty compact subsets and study some topological properties of it.
Alireza Alihajimohammad, Reza Saadati
doaj +1 more source
A generating function of the squares of Legendre polynomials
, 2012 We relate a one-parametric generating function for the squares of Legendre polynomials to an arithmetic hypergeometric series whose parametrisation by a level 7 modular function was recently given by Shaun Cooper. By using this modular parametrisation we
Zudilin, Wadim
core +1 more source
Integrable systems and modular forms of level 2 [PDF]
, 2006 A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $\Gamma_0(2)$ of the modular group $SL_2(\mathbb{Z})$ is constructed. These nonlinear equations are analogues of the well known Ramanujan equations,
Ablowitz, Mark J +2 more
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Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces
, 2014 The existence of fixed points of single-valued mappings in modular function spaces has been studied by many authors. The approximation of fixed points in such spaces via convergence of an iterative process for single-valued mappings has also been ...
S. H. Khan, M. Abbas
semanticscholar +1 more source
The genus two free boson in Arakelov geometry
Nuclear Physics B, 2020 Using Arakelov geometry, we compute the partition function of the noncompact free boson at genus two. We begin by compiling a list of modular invariants which appear in the Arakelov theory of Riemann surfaces. Using these quantities, we express the genus
Thomas Vandermeulen
doaj +1 more source
On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces
, 2014 We prove that the set of all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets of two nonexpansive mappings.
Saud M. Alsulami, W. Kozlowski
semanticscholar +1 more source