Atkin–Lehner theory for Drinfeld modular forms and applications

Autor:	Maria Valentino
Rok vydání:	2021
Předmět:	Cusp (singularity) Atkin–Lehner theory Pure mathematics Algebra and Number Theory Mathematics::Number Theory Computation Modular form symbols.namesake Number theory Fourier analysis Direct sum decomposition symbols Mathematics::Representation Theory Commutative property Mathematics
Zdroj:	The Ramanujan Journal. 58:633-649
ISSN:	1572-9303 1382-4090
DOI:	10.1007/s11139-021-00465-0
Popis:	The present paper deals with Atkin–Lehner theory for Drinfeld modular forms. We provide an equivalent definition of $$\mathfrak {p}$$ -newforms (which makes computations easier) and commutativity results between Hecke operators and Atkin–Lehner involutions. As applications, we show a criterion for a direct sum decomposition of cusp forms, we exhibit $$\mathfrak {p}$$ -newforms arising from lower levels and we provide $$\mathfrak {p}$$ -adic Drinfeld modular forms of level greater than 1.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5775a089e76670957f687e65d65b150b https://doi.org/10.1007/s11139-021-00465-0 Zobrazit plný text záznamu Full text from SpringerLink