The present paper deals with Atkin–Lehner theory for Drinfeld modular forms. We provide an equivalent definition of 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 p-newforms arising from lower levels and we provide p-adic Drinfeld modular forms of level greater than 1.
Atkin–Lehner theory for Drinfeld modular forms and applications
Valentino M.
2022-01-01
Abstract
The present paper deals with Atkin–Lehner theory for Drinfeld modular forms. We provide an equivalent definition of 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 p-newforms arising from lower levels and we provide p-adic Drinfeld modular forms of level greater than 1.File in questo prodotto:
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