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ON THE ATKIN Ut-OPERATOR FOR Γ0(t)-INVARIANT DRINFELD CUSP FORMS.
- Source :
-
Proceedings of the American Mathematical Society . Oct2019, Vol. 147 Issue 10, p4171-4187. 17p. - Publication Year :
- 2019
-
Abstract
- We study the Atkin Ut operator for Drinfeld cusp forms. In particular, we define newforms and oldforms of level Γ0(t) and we study basic properties of their slopes. Moreover, we find an explicit formula for the matrix associated to the action of Ut on Γ1(t)-invariant cusp forms using Teitelbaum's interpretation as harmonic cocycles. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COCYCLES
*MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 147
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 138640673
- Full Text :
- https://doi.org/10.1090/proc/14491