Sjoerd de Vries

collaborators

3 papers

math.NT2026

Traces of Hecke operators on Drinfeld modular forms for $GL_{2} (F_{q} [T])$

Sjoerd de Vries

In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case $A = F_{q} [T]$ . We deduce closed-form expressions for traces of Hecke oper…

math.NT2025

Drinfeld Quasi-Modular Forms of Higher Level

Andrea Bandini, Maria Valentino, Sjoerd de Vries

We study the structure of the vector space of Drinfeld quasi-modular forms for congruence subgroups. We provide representations as polynomials in the false Eisenstein series with c…

math.CO2025

On Newton's identities in positive characteristic

Sjoerd de Vries

Newton's identities provide a way to express elementary symmetric polynomials in terms of power polynomials over fields of characteristic zero. In this article, we study the failur…

Traces of Hecke operators on Drinfeld modular forms for GL2​(Fq​[T])

Drinfeld Quasi-Modular Forms of Higher Level

On Newton's identities in positive characteristic

Traces of Hecke operators on Drinfeld modular forms for $GL_{2} (F_{q} [T])$