Papers › Lambda-invariants of Mazur--Tate elements attached to Ramanujan's tau function and...
Lambda-invariants of Mazur--Tate elements attached to Ramanujan's tau function and congruences with Eisenstein series
Anthony Doyon, Antonio Lei
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Let p∈{3,5,7} and let Δ denote the weight twelve modular form arising from Ramanujan's tau function. We show that Δ is congruent to an Eisenstein series E_(k,χ, ψ) modulo p for explicit choices of k and Dirichlet characters χ and ψ. We then prove formulae describing the Iwasawa invariants of the Mazur--Tate elements attached to Δ, confirming numerical data gathered by the authors in a previous work.
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