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arXiv · 1604.01152

The trace of modular forms and its application to number theory

Norifumi Ojiro
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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.

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Norifumi Ojiro. 2016-04-05. The trace of modular forms and its application to number theory. https://arxiv.org/abs/1604.01152

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