On p-adic L-functions and the Riemann-Hurwitz genus formula
Sinnott, Warren M.
Compositio Mathematica, Tome 53 (1984), p. 3-17 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1984-01-01
@article{CM_1984__53_1_3_0,
     author = {Sinnott, Warren M.},
     title = {On $p$-adic $L$-functions and the Riemann-Hurwitz genus formula},
     journal = {Compositio Mathematica},
     volume = {53},
     year = {1984},
     pages = {3-17},
     mrnumber = {762305},
     zbl = {0545.12011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1984__53_1_3_0}
}

Sinnott, Warren M. On $p$-adic $L$-functions and the Riemann-Hurwitz genus formula. Compositio Mathematica, Tome 53 (1984) pp. 3-17. http://gdmltest.u-ga.fr/item/CM_1984__53_1_3_0/

[1] P. Cassou-Noguès: Valeurs aux entiers négatifs des fonctions zêta et fonctions zêta p-adiques. Inv. Math. 51 (1979) 29-59. | MR 524276 | Zbl 0408.12015

[2] J. Coates: p-adic L-functions and Iwasawa theory. In: Algebraic Number Fields, ed. by A. Fröhlich, Academic Press, New York (1977) pp. 269-353. | MR 460282 | Zbl 0393.12027

[3] C. Chevalley and A. Weil: Über das Verhalten der Integrale erster Gattung bei Automorphismen des Funktionenkörpers. Hamb. Abh. 10 (1934) 358-361. | JFM 60.0098.01 | Zbl 0009.16001

[4] P. Deligne and K. Ribet: Values of abelian L-functions at negative integers over totally real fields. Inv. Math. 59 (1980) 227-286. | MR 579702 | Zbl 0434.12009

[5] Leslie Jane Federer: Ph.D. thesis, Princeton Univ., Princeton, 1982.

[6] G. Gras, Sur la construction des fonctions L p-adiques abéliennes, Seminaire Delange-Pisot-Poitou (Théorie des nombres), 1978/79, n° 22. | Numdam | MR 582430 | Zbl 0427.12014

[7] G. Gras, Sur les invariants lambda d'Iwasawa des corps abéliens. Pub. Math. de la Fac. des Sci. de Besançon (1978/79). | Zbl 0472.12009

[8] K. Iwasawa: On r-extensions of algebraic number fields. Bull. Amer. Math. Soc. 65 (1959) 183-226. | MR 124316 | Zbl 0089.02402

[9] K. Iwasawa: Lectures on p-adic L-functions. Ann. Math. Studies 74, Princeton University Press, Princeton (1972). | MR 360526 | Zbl 0236.12001

[10] K. Iwasawa: Riemann-Hurwitz formula and p-adic Galois representations for number fields. Tôhoku Math. J. (Second Series) 33(2) (1981) 263-288. | MR 624610 | Zbl 0468.12004

[11] Y. Kida: l-extensions of CM-fields and cyclotomic invariants. J. Number Theory 12 (1980) 519-528. | MR 599821 | Zbl 0455.12007

[12] K. Ribet: Report on p-adic L-functions over totally real fields. Soc. Math. de France, Astérisque 61 (1979) 177-192. | MR 556672 | Zbl 0408.12016

[13] J.-P. Serre: Sur le résidu de la fonction zêta p-adique d'un corps de nombres. C.R. Acad. Sc. Paris 287 (1978) 183-188. | MR 506177 | Zbl 0393.12026