On $p$-adic $L$-functions and the Riemann-Hurwitz genus formula

Warren M. Sinnott

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A Kummer criterion for imaginary quadratic fields

Rodney I. Yager (1982)

Compositio Mathematica

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On $p$ -adic $L$ -functions

John Coates (1988-1989)

Séminaire Bourbaki

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Kida's formula and congruences.

Pollack, Robert, Weston, Tom (2007)

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On Iwasawa’s λ-invariant for certain $Z_{l}$ -extensions

Joseph Carroll, H. Kisilevsky (1981)

Acta Arithmetica

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Tamely ramified extensions's structure.

Ibadula, Denis (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On the Iwasawa invariants of certain $ℤ_{p}$ -extensions

J. Carroll, H. Kisilevsky (1983)

Compositio Mathematica

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On the local behaviour of ordinary $Λ$ -adic representations

Eknath Ghate, Vinayak Vatsal (2004)

Annales de l'Institut Fourier

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Let $f$ be a primitive cusp form of weight at least 2, and let $ρ_{f}$ be the $p$ -adic Galois representation attached to $f$ . If $f$ is $p$ -ordinary, then it is known that the restriction of $ρ_{f}$ to a decomposition group at $p$ is “upper triangular”. If in addition $f$ has CM, then this representation is even “diagonal”. In this paper we provide evidence for the converse. More precisely, we show that the local Galois representation is not diagonal, for all except possibly finitely many of the arithmetic members...

CM-fields with all roots of unity

Kuniaki Horie (1990)

Compositio Mathematica

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Displaying similar documents to “On p -adic L -functions and the Riemann-Hurwitz genus formula”

Displaying similar documents to “On $p$ -adic $L$ -functions and the Riemann-Hurwitz genus formula”