no. 1
On p-adic L-functions and the Riemann-Hurwitz genus formula
Compositio Mathematica, Tome 53 (1984) no. 1, pp. 3-17. 
@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},
     pages = {3--17},
     publisher = {Martinus Nijhoff Publishers},
     volume = {53},
     number = {1},
     year = {1984},
     mrnumber = {762305},
     zbl = {0545.12011},
     language = {en},
     url = {http://www.numdam.org/item/CM_1984__53_1_3_0/}
}
TY  - JOUR
AU  - Sinnott, Warren M.
TI  - On $p$-adic $L$-functions and the Riemann-Hurwitz genus formula
JO  - Compositio Mathematica
PY  - 1984
SP  - 3
EP  - 17
VL  - 53
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://www.numdam.org/item/CM_1984__53_1_3_0/
LA  - en
ID  - CM_1984__53_1_3_0
ER  - 
%0 Journal Article
%A Sinnott, Warren M.
%T On $p$-adic $L$-functions and the Riemann-Hurwitz genus formula
%J Compositio Mathematica
%D 1984
%P 3-17
%V 53
%N 1
%I Martinus Nijhoff Publishers
%U http://www.numdam.org/item/CM_1984__53_1_3_0/
%G en
%F 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) no. 1, pp. 3-17. http://www.numdam.org/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 | Zbl

[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 | Zbl

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

[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 | Zbl

[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 | Zbl

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

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

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

[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 | Zbl

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

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

[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 | Zbl