Hida theory for special orders

نویسندگان

چکیده

This note is devoted to the study of families quaternionic modular forms arising from orders defined by Pizer. In this situation, Hecke eigenspaces are 2-dimensional contrary classical case Eichler orders. The main result a Control Theorem in spirit Hida, interpolating these eigenspaces. We restrict our attention definite rational quaternion algebra ramified at single odd prime [Formula: see text].

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ژورنال

عنوان ژورنال: International Journal of Number Theory

سال: 2022

ISSN: ['1793-7310', '1793-0421']

DOI: https://doi.org/10.1142/s1793042123500161