Results 91 to 100 of about 378,592 (232)

Modular forms and hierarchical Yukawa couplings in heterotic Calabi-Yau compactifications

open access: yesJournal of High Energy Physics
We study the modular symmetry in heterotic string theory on Calabi-Yau threefolds. In particular, we examine whether moduli-dependent holomorphic Yukawa couplings are described by modular forms in the context of heterotic string theory with standard ...
Keiya Ishiguro   +3 more
doaj   +1 more source

THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS

open access: yesForum of Mathematics, Sigma, 2015
Following the ideas and methods of a recent work of Skinner and Urban, we prove the one divisibility of the Iwasawa main conjecture for nearly ordinary Hilbert modular forms under certain local hypotheses.
XIN WAN
doaj   +1 more source

Computations of vector-valued Siegel modular forms

open access: yes, 2012
We carry out some computations of vector valued Siegel modular forms of degree two, weight (k,2) and level one. Our approach is based on Satoh's description of the module of vector-valued Siegel modular forms of weight (k, 2) and an explicit description ...
Ghitza, Alexandru   +2 more
core  

On the Fourier expansions of Jacobi forms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier expansions of Jacobi forms of indexes p, p2, and pq for distinct odd primes p, q.
Howard Skogman
doaj   +1 more source

Linear relations between modular forms for Г0+(p)

open access: yesOpen Mathematics, 2015
We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

Hermitian quadratic forms and Hermitian modular forms [PDF]

open access: bronze, 1978
David Bruce Cohen, Howard L. Resnikoff
openalex   +1 more source

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