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arXiv · 0906.1741

Mazur-Tate elements of non-ordinary modular forms

Robert Pollack·Tom Weston
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Abstract

We establish formulae for the Iwasawa invariants of Mazur--Tate elements of cuspidal eigenforms, generalizing known results in weight 2. Our first theorem deals with forms of "medium" weight, and our second deals with forms of small slope . We give examples illustrating the strange behavior which can occur in the high weight, high slope case.

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Robert Pollack, Tom Weston. 2009-06-09. Mazur-Tate elements of non-ordinary modular forms. https://doi.org/10.1215/00127094-2010-214

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