On symmetric powers of τ-recurrent sequences and deformations of eisenstein series

Ahmad ElGuindy, Aleksandar Petrov

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We prove the equality of several τ-recurrent sequences, which were first considered by Pellarin and which have close connections to Drinfeld vectorial modular forms. Our result has several consequences: an A-expansion for the lth power (1 ≤ l ≤ q) of the deformation of the weight 2 Eisenstein series; relations between Drinfeld modular forms with A-expansions; and a new proof of relations between special values of Pellarin L-series.

Original languageEnglish
Pages (from-to)3303-3318
Number of pages16
JournalProceedings of the American Mathematical Society
Volume143
Issue number8
DOIs
Publication statusPublished - 2015

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Eisenstein Series
Modular Forms
Equality
Series

Keywords

  • A-expansions
  • Deformations of Eisenstein series
  • Vectorial Drinfeld modular forms
  • τ-recurrent sequences

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On symmetric powers of τ-recurrent sequences and deformations of eisenstein series. / ElGuindy, Ahmad; Petrov, Aleksandar.

In: Proceedings of the American Mathematical Society, Vol. 143, No. 8, 2015, p. 3303-3318.

Research output: Contribution to journalArticle

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