Traces of CM values of modular functions and related topics
Jan H. Bruinier
TL;DR
This paper discusses recent joint research on the traces of CM values of modular functions, exploring their properties and applications in number theory.
Contribution
It presents new results on the traces of CM values of modular functions and their applications, advancing understanding in this area.
Findings
Derived explicit formulas for traces of CM values
Connected traces to modular forms and number theory
Applied results to solve related problems in mathematics
Abstract
The purpose of this note is to report on recent joint work with J. Funke, P. Jenkins, and K. Ono on the traces of CM values of modular functions and some applications.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Mathematical Identities · Advanced Algebra and Geometry