Clozel, Laurent 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 Rend. Mat. Appl., VII. Ser. 35, No. 1-2, 35-46 (2014). 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. Cited in 3 Documents MSC: 11F33 Congruences for modular and \(p\)-adic modular forms 11F11 Holomorphic modular forms of integral weight 11R23 Iwasawa theory Keywords:cyclotomic extension; modular forms; base change Citations:Zbl 1302.11016 PDFBibTeX XMLCite \textit{L. Clozel}, Rend. Mat. Appl., VII. Ser. 35, No. 1--2, 35--46 (2014; Zbl 1375.11046) Full Text: Link