On the -invariant of the cyclotomic derivative of a Katzp-adic -function

DOI10.1017/S1474748013000388zbMath1323.11087arXiv1304.4298OpenAlexW3099137252MaRDI QIDQ2937359

Ashay A. Burungale

Publication date: 9 January 2015

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4298

zbMATH Keywords

Katz \(p\)-adic \(L\)-functionIwasawa \(\mu\)-invariantHilbert modular Shimura varietytoric modular formsanticyclotomic regulator

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Arithmetic aspects of modular and Shimura varieties (11G18) 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)

Related Items (12)

Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields ⋮ \(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants ⋮ The congruent number problem and elliptic curves ⋮ A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer ⋮ ANDRÉ–OORT CONJECTURE AND NONVANISHING OF CENTRAL -VALUES OVER HILBERT CLASS FIELDS ⋮ The -adic Gross–Zagier formula on Shimura curves ⋮ ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES ⋮ On the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functions ⋮ \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin ⋮ \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves ⋮ The universal \(p\)-adic Gross-Zagier formula ⋮ Iwasawa μ-Invariants of p-Adic Hecke L-Functions

Cites Work

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• \(p\)-adic \(L\)-functions for CM fields
• The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions
• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• On the non-vanishing of Hecke <i>L</i>-values modulo <i>p</i>
• Vanishing of the μ-invariant of p-adic Hecke L-functions

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