\(\mathcal L\)-invariant of symmetric powers of Tate curves

DOI10.2977/prims/1234361153zbMath1173.11033OpenAlexW2014254689MaRDI QIDQ1016581

Haruzo Hida

Publication date: 6 May 2009

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1234361153

zbMATH Keywords

Iwasawa theorymodularityTate curvesGreenberg \({\mathcal L}\)-invariant

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\)
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• Adjoint Selmer groups as Iwasawa modules
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