Results 81 to 90 of about 378,592 (232)

Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]

open access: yesRes Number Theory, 2022
Assaf E   +5 more
europepmc   +1 more source

Quadratic Minima and Modular Forms [PDF]

open access: yesExperimental Mathematics, 1998
We give upper bounds on the size of the gap between a non-zero constant term and the next non-zero Fourier coefficient of an entire level two modular form. We give upper bounds for the minimum positive integer represented by a level two even positive-definite quadratic form. These bounds extend partial results in part I.
openaire   +8 more sources

Topological Modular Forms [PDF]

open access: yes, 2014
DEFINITION 3.5. An integral modular form of weight n is a law associating to every pointed curve of genus 1 a section of wo" in a way compatible with base change.
Douglas, C   +3 more
openaire   +2 more sources

Modular inflation observables and j-inflation phenomenology

open access: yesJournal of High Energy Physics, 2017
Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ℛ and the ...
Rolf Schimmrigk
doaj   +1 more source

Irreducible vector-valued modular forms of dimension less than six

open access: yes, 2011
An algebraic classification is given for spaces of holomorphic vector-valued modular forms of arbitrary real weight and multiplier system, associated to irreducible, T-unitarizable representations of the full modular group, of dimension less than six ...
Marks, Christopher
core  

A generalization of modular forms [PDF]

open access: yesInvolve, a Journal of Mathematics, 2012
We prove a transformation equation satisfied by a set of holomorphic functions with rational Fourier coefficients of cardinality [math] arising from modular forms. This generalizes the classical transformation property satisfied by modular forms with rational coefficients, which only applies to a set of cardinality [math] for a given weight.
openaire   +3 more sources

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