Mostrar el registro sencillo del ítem
dc.contributor.author
Sirolli, Nicolás Martín
dc.contributor.author
Tornaría, Gonzalo
dc.date.available
2023-09-29T18:29:11Z
dc.date.issued
2022-10
dc.identifier.citation
Sirolli, Nicolás Martín; Tornaría, Gonzalo; Effective construction of Hilbert modular forms of half-integral weight; Springer; Mathematische Zeitschrift; 302; 4; 10-2022; 2513-2543
dc.identifier.issn
0025-5874
dc.identifier.uri
http://hdl.handle.net/11336/213656
dc.description.abstract
Given a Hilbert cuspidal newform g we construct a family of modular forms of half-integral weight whose Fourier coefficients give the central values of the twisted L-series of g by fundamental discriminants. The family is parametrized by quadratic conditions on the primes dividing the level of g, where each form has coefficients supported on the discriminants satisfying the conditions. These modular forms are given as generalized theta series and thus their coefficients can be effectively computed. By considering skew-holomorphic forms of half-integral weight our construction works over arbitrary totally real number fields, except that in the case of odd degree the square levels are excluded. It includes all discriminants except those divisible by primes whose square divides the level.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.relation
https://ri.conicet.gov.ar/handle/11336/185179
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
MODULAR
dc.subject
FORMS
dc.subject
HALF-INTEGRAL
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Effective construction of Hilbert modular forms of half-integral weight
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-07T22:43:46Z
dc.journal.volume
302
dc.journal.number
4
dc.journal.pagination
2513-2543
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Sirolli, Nicolás Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.description.fil
Fil: Tornaría, Gonzalo. Universidad de la República. Facultad de Ciencias; Uruguay
dc.journal.title
Mathematische Zeitschrift
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s00209-022-03140-2
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00209-022-03140-2
Archivos asociados