SU\G(𝔸)/K·U

Nonvanishing of a certain Bernoulli number and a related topic

Humio Ichimura

Type: Article

Publication Date: 2013-01-01

Citations: 2

DOI: https://doi.org/10.4064/aa159-4-6

Abstract

Let $p=1+2^{e+1}q$ be an odd prime number with $q$ an odd integer. Let $\delta $ (resp. $\varphi $) be an odd (resp. even) Dirichlet character of conductor $p$ and order $2^{e+1}$ (resp. order $d_{\varphi }$ dividing $q$), and let $\psi _n$ be an even cha

Locations

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Works That Cite This (1)

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+ Note on Bernoulli numbers associated to some Dirichlet character of prime conductor 2016 Humio Ichimura

Works Cited by This (6)

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+ A short proof for the nonvanishing of a character sum 1977 Tauno Metsänkylä
+ Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field 2002 Kuniaki Horie
+ A note on cyclotomic fields 1976 Kenkichi Iwasawa
+ On the 2-part of the class numbers of cyclotomic fields of prime power conductors 2012 Humio Ichimura
Shōichi Nakajima
+ A note on the relative class number of the cyclotomic Zp-extension of Q(√{-p}) (2) 2012 Humio Ichimura
Shōichi Nakajima
+ PDF Chat The Nonvanishing of Certain Character Sums 1974 S. Ullom