| 作成者 |
|
|
|
|
|
| 本文言語 |
|
| 出版者 |
|
|
|
| 発行日 |
|
| 収録物名 |
|
| 巻 |
|
| 号 |
|
| 開始ページ |
|
| 終了ページ |
|
| 出版タイプ |
|
| アクセス権 |
|
| 関連DOI |
|
| 関連URI |
|
| 関連HDL |
|
| 概要 |
In this paper we obtain the residue modulo a prime power of cosine higher-order Euler numbers H^〈(k)〉_〈2n〉(m) in terms of the linear combination of the Dirichlet L-function values L(s, χ) at positive ...integral arguments s or of generalized Bernoulli numbers. Our results are restricted to the equal parity case ; i.e. s and χ are of the same parity. In the process, we employ Yamamoto’s results on finite expressions in terms of Dirichlet L-function values for short interval character sums and in this sense our treatment is decisive, i.e. any ad-hoc transformation of short interval sums. The results obtained not only generalize the previous results pertaining to the congruences modulo a prime power of the class numbers as the special case of s=1 in terms of Euler numbers but also closes the chapter on possible similar research.続きを見る
|
Mendeley出力
