On p-adic L-functions and the Riemann-Hurwitz genus formula
Sang G. Han
Acta Arithmetica, Tome 58 (1991), p. 97-104 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1991-01-01
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     author = {Sang G. Han},
     title = {On p-adic L-functions and the Riemann-Hurwitz genus formula},
     journal = {Acta Arithmetica},
     volume = {58},
     year = {1991},
     pages = {97-104},
     zbl = {0774.11062},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav60i2p97bwm}
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Sang G. Han. On p-adic L-functions and the Riemann-Hurwitz genus formula. Acta Arithmetica, Tome 58 (1991) pp. 97-104. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav60i2p97bwm/

[000] [Ca] P. Cassou-Nogues, p-adic L-functions for totally real number fields, in: Proceedings of the Conference on p-adic Analysis, Report 7806, Katholieke Univ., Nijmegen, 1978, 24-37.

[001] [Co1] J. Coates, On K₂ and some classical conjectures in algebraic number theory, Ann. of Math. 95 (1972), 99-116. | Zbl 0245.12005

[002] [Co2] J. Coates, p-adic L-functions and Iwasawa theory, in: Algebraic Number Fields, A. Fröhlich (ed.), Academic Press, New York 1977, 269-353.

[003] [D-R] P. Deligne and K. Ribet, Values of abelian L-functions at negative integers over totally real fields, Invent. Math. 59 (1980), 227-286. | Zbl 0434.12009

[004] [G-M] R. Gold and M. Madan, Iwasawa invariants, Comm. Algebra 13 (7) (1985), 1559-1578. | Zbl 0568.12003

[005] [Han] S. Han, Two applications of p-adic L-functions, Thesis, Ohio State University, 1987.

[006] [Iw] K. Iwasawa, Riemann-Hurwitz formula and p-adic Galois representations for number fields, Tôhoku Math. J. (2) 33 (2) (1981), 263-288. | Zbl 0468.12004

[007] [Ki] Y. Kida, l-extensions of CM-fields and cyclotomic invariants, J. Number Theory 12 (1980), 519-528. | Zbl 0455.12007

[008] [Ri] K. Ribet, Report on p-adic L-functions over totally real fields, Astérisque 61 (1979), 177-192. | Zbl 0408.12016

[009] [Se] J.-P. Serre, Sur le résidu de la fonction zêta p-adique d'un corps de nombres, C. R. Acad. Sci. Paris 287 (1978), 183-188.

[010] [Si] W. Sinnott, On p-adic L-functions and the Riemann-Hurwitz genus formula, Compositio Math. 53 (1984), 3-17. | Zbl 0545.12011

[011] [Wa] L. Washington, Introduction to Cyclotomic Fields, Springer, New York 1982. | Zbl 0484.12001