The trace of modular forms and its application to number theory

Norifumi Ojiro

The trace of modular forms and its application to number theory

Number Theory 2016-04-06 v1

Authors: Norifumi Ojiro

Abstract

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.

Keywords

modular forms trace of modular forms elliptic curves algebraic number fields cyclic subgroup number theory

Cite

@article{arxiv.1604.01152,
  title  = {The trace of modular forms and its application to number theory},
  author = {Norifumi Ojiro},
  journal= {arXiv preprint arXiv:1604.01152},
  year   = {2016}
}

Comments

16 pages

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