### Abstract

We obtain a closed form polynomial expression for certain coefficients of Drinfeld-Goss double-cuspidal modular forms which are eigenforms for the degree one Hecke operators with power eigenvalues, and we use those formulas to prove vanishing results for an infinite family of those coefficients.

Original language | English |
---|---|

Pages (from-to) | 4127-4137 |

Number of pages | 11 |

Journal | Proceedings of the American Mathematical Society |

Volume | 146 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

### Fingerprint

### Keywords

- Drinfeld-goss modular forms
- Hecke operators
- Recurrence relations

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**Explicit formulas and vanishing conditions for certain coefficients of drinfeld-goss hecke eigenforms.** / ElGuindy, Ahmad.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Explicit formulas and vanishing conditions for certain coefficients of drinfeld-goss hecke eigenforms

AU - ElGuindy, Ahmad

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We obtain a closed form polynomial expression for certain coefficients of Drinfeld-Goss double-cuspidal modular forms which are eigenforms for the degree one Hecke operators with power eigenvalues, and we use those formulas to prove vanishing results for an infinite family of those coefficients.

AB - We obtain a closed form polynomial expression for certain coefficients of Drinfeld-Goss double-cuspidal modular forms which are eigenforms for the degree one Hecke operators with power eigenvalues, and we use those formulas to prove vanishing results for an infinite family of those coefficients.

KW - Drinfeld-goss modular forms

KW - Hecke operators

KW - Recurrence relations

UR - http://www.scopus.com/inward/record.url?scp=85051367457&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85051367457&partnerID=8YFLogxK

U2 - 10.1090/proc/14109

DO - 10.1090/proc/14109

M3 - Article

VL - 146

SP - 4127

EP - 4137

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 10

ER -