The number of non-zero coefficients of modular forms (mod p)
Joel Bellaiche, Kannan Soundararajan
TL;DR
This paper provides an asymptotic formula for counting the non-zero coefficients of modular forms modulo p, advancing understanding of their distribution and properties in number theory.
Contribution
It introduces a new asymptotic formula specifically for the count of non-zero coefficients of modular forms mod p, which was not previously known.
Findings
Derived an explicit asymptotic expression for non-zero coefficients
Enhanced understanding of modular forms' coefficient distribution mod p
Potential applications in number theory and modular form analysis
Abstract
We give an asymptotic formula for the number of non-zero coefficients of modular forms (mod p).
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory