A Kummer criterion for imaginary quadratic fields

Rodney I. Yager

Displaying similar documents to “A Kummer criterion for imaginary quadratic fields”

A new construction of $p$ -adic $L$ -functions attached to certain elliptic curves with complex multiplication

John L. Boxall (1986)

Annales de l'institut Fourier

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In this paper we apply the results of our previous article on the $p$ -adic interpolation of logarithmic derivatives of formal groups to the construction of $p$ -adic $L$ -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.

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

Warren M. Sinnott (1984)

Compositio Mathematica

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On $p$ -adic $L$ -functions

John Coates (1988-1989)

Séminaire Bourbaki

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$p$ -adic $L$ -functions for elliptic curves with complex multiplication I

Pierrette Cassou-Noguès (1980)

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...

$p$ -adic interpolation of special values of Hecke L-functions

Pierre Colmez, Leila Schneps (1992)

Compositio Mathematica

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Zeros of p-adic L-functions

Nancy Childress, Robert Gold (1987)

Acta Arithmetica

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Displaying similar documents to “A Kummer criterion for imaginary quadratic fields”

A new construction of p -adic L -functions attached to certain elliptic curves with complex multiplication

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

On p -adic L -functions

p -adic L -functions for elliptic curves with complex multiplication I

On the local behaviour of ordinary Λ -adic representations

p -adic interpolation of special values of Hecke L-functions

Zeros of p-adic L-functions

A new construction of $p$ -adic $L$ -functions attached to certain elliptic curves with complex multiplication

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

On $p$ -adic $L$ -functions

$p$ -adic $L$ -functions for elliptic curves with complex multiplication I

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

$p$ -adic interpolation of special values of Hecke L-functions