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선해상

Sun, Hae-sang
Zeta function and Arithematic Lab.
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Cuspidal class number of the tower of modular curves X-1(Np-n)

Alternative Title
Cuspidal class number of the tower of modular curves X-1(Np-n)
Author(s)
Sun, Hae-Sang
Issued Date
2010-12
DOI
10.1007/s00208-010-0505-7
URI
https://scholarworks.unist.ac.kr/handle/201301/13330
Fulltext
http://link.springer.com/article/10.1007%2Fs00208-010-0505-7
Citation
MATHEMATISCHE ANNALEN, v.348, no.4, pp.909 - 927
Abstract
We consider a cuspidal class number, which is the order of a subgroup of the full cuspidal divisor class group of X-1(Np-n) with p inverted iota N and n >= 1. By studying the second generalized Bernoulli numbers, we obtain results similar to ones (Ferrero and Washington in Ann Math (2) 109(2):377-395, 1979; Washington in Invent Math 49:87-97, 1978) about the relative class numbers of cyclotomic Z(p)-extension of an abelian number field
Publisher
SPRINGER
ISSN
0025-5831

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