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April 1, 2026The Ramanujan JournalOpen Access

Modular forms for {\, GL\, } (r, FₐT): t-expansions of the basic forms

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Authors

EGErnst-Ulrich Gekeler

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Overview

Closed formulas reveal expansion coefficients of modular forms in a defined mathematical structure.

Key Points

  • The goal is to derive closed formulas for the expansion coefficients of basic modular forms for GL(r, Fq[T]).
  • Formulated the conditions under which the coefficients are calculated.
  • Analyzed basic modular forms and their relationships to Eisenstein series.
  • Closed formulas for the first few expansion coefficients were obtained.
  • Identified significant relationships between these coefficients and the basic forms.

Cite This Study

Ernst-Ulrich Gekeler (2026) studied this question.

synapsesocial.com/papers/69cd7b155652765b073a8c14https://doi.org/10.1007/s11139-026-01359-9
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Also Consider

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