Lacunary recurrences for Eisenstein series
Michael H. Mertens, Larry Rolen
TL;DR
This paper revisits and extends known lacunary recurrence relations for Eisenstein series using modular forms theory, providing new insights and broader applicability.
Contribution
It introduces new lacunary recurrence relations for Eisenstein series by leveraging advanced modular forms techniques, expanding previous results.
Findings
Reproved Romik's lacunary recurrence relations
Extended these relations to broader classes of Eisenstein series
Enhanced understanding of modular forms connections
Abstract
Using results from the theory of modular forms, we reprove and extend a result of Romik about lacunary recurrence relations for Eisenstein series.
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