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

Sang G. Han

Acta Arithmetica (1991)

  • Volume: 60, Issue: 2, page 97-104
  • ISSN: 0065-1036

How to cite


Sang G. Han. "On p-adic L-functions and the Riemann-Hurwitz genus formula." Acta Arithmetica 60.2 (1991): 97-104. <http://eudml.org/doc/206434>.

author = {Sang G. Han},
journal = {Acta Arithmetica},
keywords = {-adic -functions; Iwasawa invariants; CM-field},
language = {eng},
number = {2},
pages = {97-104},
title = {On p-adic L-functions and the Riemann-Hurwitz genus formula},
url = {http://eudml.org/doc/206434},
volume = {60},
year = {1991},

AU - Sang G. Han
TI - On p-adic L-functions and the Riemann-Hurwitz genus formula
JO - Acta Arithmetica
PY - 1991
VL - 60
IS - 2
SP - 97
EP - 104
LA - eng
KW - -adic -functions; Iwasawa invariants; CM-field
UR - http://eudml.org/doc/206434
ER -


  1. [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. 
  2. [Co1] J. Coates, On K₂ and some classical conjectures in algebraic number theory, Ann. of Math. 95 (1972), 99-116. Zbl0245.12005
  3. [Co2] J. Coates, p-adic L-functions and Iwasawa theory, in: Algebraic Number Fields, A. Fröhlich (ed.), Academic Press, New York 1977, 269-353. 
  4. [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. Zbl0434.12009
  5. [G-M] R. Gold and M. Madan, Iwasawa invariants, Comm. Algebra 13 (7) (1985), 1559-1578. Zbl0568.12003
  6. [Han] S. Han, Two applications of p-adic L-functions, Thesis, Ohio State University, 1987. 
  7. [Iw] K. Iwasawa, Riemann-Hurwitz formula and p-adic Galois representations for number fields, Tôhoku Math. J. (2) 33 (2) (1981), 263-288. Zbl0468.12004
  8. [Ki] Y. Kida, l-extensions of CM-fields and cyclotomic invariants, J. Number Theory 12 (1980), 519-528. Zbl0455.12007
  9. [Ri] K. Ribet, Report on p-adic L-functions over totally real fields, Astérisque 61 (1979), 177-192. Zbl0408.12016
  10. [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. 
  11. [Si] W. Sinnott, On p-adic L-functions and the Riemann-Hurwitz genus formula, Compositio Math. 53 (1984), 3-17. Zbl0545.12011
  12. [Wa] L. Washington, Introduction to Cyclotomic Fields, Springer, New York 1982. Zbl0484.12001

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