Nearly overconvergent modular forms. (English) Zbl 1328.11052
Bouganis, Thanasis (ed.) et al., Iwasawa theory 2012. State of the art and recent advances. Selected papers based on the presentations at the conference, Heidelberg, Germany, July 30 – August 3, 2012. Berlin: Springer (ISBN 978-3-642-55244-1/hbk; 978-3-642-55245-8/ebook). Contributions in Mathematical and Computational Sciences 7, 401-441 (2014).
In the article under review, the author introduces finite slope nearly overconvergent (elliptic) modular forms and gives some results about it. Furthermore, he gives an application of this notion to the construction of the Rankin-Selberg \(p\)-adic \(L\)-function on the product of two eigencurves.
For the entire collection see [Zbl 1304.11004].
For the entire collection see [Zbl 1304.11004].
Reviewer: Ilker Inam (Bilecik)
MSC:
| 11F37 | Forms of half-integer weight; nonholomorphic modular forms |
| 11F25 | Hecke-Petersson operators, differential operators (one variable) |
| 11F85 | \(p\)-adic theory, local fields |
Keywords:
nearly overconvergent elliptic modular forms; Rankin-Selberg \(p\)-adic \(L\)-function; eigencurvesReferences:
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