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

top

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>.

@article{SangG1991,
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},
}

TY - JOUR
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 -

References

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.