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Modular forms modulo \(p\), base change and Iwasawa theory. (Formes modulaires modulo \(p\) changement de base et thĂ©orie d’Iwasawa.) (French. English summary) Zbl 1375.11046

Summary: This paper gives complements to the author’s earlier article [Pac. J. Math. 268, No. 2, 259–274 (2014; Zbl 1302.11016)]. First, a congruence between zeta values occurring there is explained using the theory of the \(p\)-adic zeta function. Secondly, the proof of base change given here is extended to split primes.

MSC:

11F33 Congruences for modular and \(p\)-adic modular forms
11F11 Holomorphic modular forms of integral weight
11R23 Iwasawa theory

Citations:

Zbl 1302.11016
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