Mazur-Tate elements of non-ordinary modular forms
Robert Pollack, Tom Weston
TL;DR
This paper derives formulas for Iwasawa invariants of Mazur--Tate elements associated with non-ordinary modular forms, extending previous results and exploring complex behaviors in high weight and slope cases.
Contribution
It generalizes known formulas for Iwasawa invariants to non-ordinary forms of various weights and slopes, including new examples of complex phenomena.
Findings
Formulas for Iwasawa invariants in medium weight cases.
Results for small slope forms.
Examples of complex behavior in high weight, high slope scenarios.
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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