| 作成者 |
|
| 本文言語 |
|
| 出版者 |
|
|
|
| 発行日 |
|
| 収録物名 |
|
| 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DOI |
|
| 関連DOI |
|
|
|
| 関連URI |
|
|
|
| 関連URI |
|
| 関連HDL |
|
| 関連情報 |
|
|
|
|
|
| 概要 |
We introduce a new type of multiple zeta function, which we call a bilateral zeta function. We prove that the bilateral zeta function has a nice Fourier series expansion and the Barnes zeta function c...an be expressed as a finite sum of bilateral zeta functions. By these properties of the bilateral zeta functions, we obtain simple proofs of some formulas, for example, the reflection formula for the multiple gamma function, the inversion formula for the Dedekind η-function, Ramanujan's formula, Fourier expansion of the Barnes zeta function and multiple Iseki's formula.続きを見る
|
Mendeley出力
