Bernoulli numbers, Hurwitz numbers, p-adic L-functions and Kummer's criterion.
RACSAM (2007)
- Volume: 101, Issue: 1, page 1-32
- ISSN: 1578-7303
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topLozano Robledo, Alvaro. "Bernoulli numbers, Hurwitz numbers, p-adic L-functions and Kummer's criterion.." RACSAM 101.1 (2007): 1-32. <http://eudml.org/doc/41658>.
@article{LozanoRobledo2007,
abstract = {Let K = Q(ζp) and let hp be its class number. Kummer showed that p divides hp if and only if p divides the numerator of some Bernoulli number. In this expository note we discuss the generalizations of this type of criterion to totally real fields and quadratic imaginary fields.},
author = {Lozano Robledo, Alvaro},
journal = {RACSAM},
keywords = {class numbers; Bernoulli numbers; cyclotomic fields; quadratic fields; -adic -functions; Fermat's equation; elliptic curves; Hurwitz numbers; research exposition},
language = {eng},
number = {1},
pages = {1-32},
title = {Bernoulli numbers, Hurwitz numbers, p-adic L-functions and Kummer's criterion.},
url = {http://eudml.org/doc/41658},
volume = {101},
year = {2007},
}
TY - JOUR
AU - Lozano Robledo, Alvaro
TI - Bernoulli numbers, Hurwitz numbers, p-adic L-functions and Kummer's criterion.
JO - RACSAM
PY - 2007
VL - 101
IS - 1
SP - 1
EP - 32
AB - Let K = Q(ζp) and let hp be its class number. Kummer showed that p divides hp if and only if p divides the numerator of some Bernoulli number. In this expository note we discuss the generalizations of this type of criterion to totally real fields and quadratic imaginary fields.
LA - eng
KW - class numbers; Bernoulli numbers; cyclotomic fields; quadratic fields; -adic -functions; Fermat's equation; elliptic curves; Hurwitz numbers; research exposition
UR - http://eudml.org/doc/41658
ER -
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