arXiv Analytics

Sign in

arXiv:1604.01152 [math.NT]AbstractReferencesReviewsResources

The trace of modular forms and its application to number theory

Norifumi Ojiro

Published 2016-04-05Version 1

We provide a generalization of an algebraic linear combination for the trace of certain elliptic modular forms, and through specializing the expression at a suitable pair consisting of an elliptic curve over algebraic number fields and its a certain cyclic subgroup with finite order, show a formula between distinct algebraic number fields, the one related to modular forms and the other related to elliptic curves.

Related articles: Most relevant | Search more
arXiv:1206.0486 [math.NT] (Published 2012-06-03, updated 2012-08-17)
Complete Residue Systems: A Primer and an Application
arXiv:1307.1413 [math.NT] (Published 2013-07-04)
On mod $p^c$ transfer and applications
arXiv:1407.7289 [math.NT] (Published 2014-07-27, updated 2015-01-28)
Hardy-Littlewood Conjecture and Exceptional real Zero