On $p$-adic Artin $L$-functions

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On $p$-adic Artin $L$-functions

Ralph Greenberg

Source: Nagoya Math. J. Volume 89 (1983), 77-87.

First Page: Show

Primary Subjects: 11R42

Secondary Subjects: 11R23

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118787106
Mathematical Reviews number (MathSciNet): MR0692344
Zentralblatt MATH identifier: 0513.12012

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References

[1] Barsky, D., Fonctions Zeta p-adiques d'une Classe de Rayon des Corps de Nombres Totalement-reels, Group d'etude d'analyse ultrametrique (1977-78).

Mathematical Reviews (MathSciNet): MR525346

[2] Cassou-Nogues, P., Valeurs aux entieres negatif des fonctions zeta et fonctions zeta p-adiques, preprint.

Mathematical Reviews (MathSciNet): MR524276

Digital Object Identifier: doi:10.1007/BF01389911

[3] Coates, J., p-adic L-functions and Iwasawa's theory, Alg. No. Theory, A. Frohlich, ed., Academic Press 1977.

Mathematical Reviews (MathSciNet): MR0460282

Zentralblatt MATH: 0393.12027

[4] Deligne, P. and Ribet, K., Values of abelian L-functions at negative integers over totally real fields, Invent. Math., 59 (1980), 227-286.

Mathematical Reviews (MathSciNet): MR579702

Zentralblatt MATH: 0434.12009

Digital Object Identifier: doi:10.1007/BF01453237

[5] Greenberg, R., On p-adic L-functions and cyclotomic fields, Nagoya Math. J., 56 (1974), 61-77.

Mathematical Reviews (MathSciNet): MR0360536

Zentralblatt MATH: 0315.12008

Project Euclid: euclid.nmj/1118795272

[6] Greenberg, On p-adic L-functions and cyclotomic fields II, Nagoya Math. J., 67 (1977), 139-158.

Mathematical Reviews (MathSciNet): MR0444614

Zentralblatt MATH: 0373.12007

Project Euclid: euclid.nmj/1118796475

[7] Gross, B., On the behavior of p-adic L-functions at s 0, preprint.

[8] Iwasawa, K., Lectures on p-adic L-functions, Ann. Math. Studies 74, Princeton University Press, 1972.

Mathematical Reviews (MathSciNet): MR0360526

Zentralblatt MATH: 0236.12001

[9] On Zi-extensions of algebraic numbers fields, Ann. of Math., 98 (1973), 246-326.

Mathematical Reviews (MathSciNet): MR349627

Digital Object Identifier: doi:10.2307/1970784

[10] On Zi-extensions of algebraic numbers fields, On p-adic representations associated with Zp-extensions, preprint.

[11] Ribet, K., Report on p-adic L-functions over totally real fields, Asterisque, 61 (1979), 177-192. Department of Mathematics University of Washington Seattle, Washington98195 USA

Mathematical Reviews (MathSciNet): MR556672

Zentralblatt MATH: 0408.12016

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