ON THE ATKIN Ut -OPERATOR FOR Γ₀(t)-INVARIANT DRINFELD CUSP FORMS

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 in...

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Veröffentlicht in:	Proceedings of the American Mathematical Society 2019-10, Vol.147 (10), p.4171-4187
Hauptverfasser:	BANDINI, ANDREA, VALENTINO, MARIA
Format:	Artikel
Sprache:	eng
Schlagworte:	A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0002-9939 1088-6826
DOI:	10.1090/proc/14491