A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION

Author:

KANEKO Masanobu,KUROKAWA Nobushige,WAKAYAMA Masato

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference10 articles.

1. [1] L. Euler. Methodus generalis summandi progressiones. Commentarii Academiae Scientiarum Petropolitanae 6 (1732/3), 68-97. (Opera Omnia (collected works), Series Prima XIV, 42-72.)

2. [2] L. Euler. Inventio summae cuiusque seriei ex dato termino generali. Commentarii Academiae Scientiarum Petropolitanae 8 (1736), 9-22. (Opera Omnia, Series Prima XIV, 108-123.)

3. [3] L. Euler. De seriebus quibusdam considerationes. Commentarii Academiae Scientiarum Petropolitanae 12 (1740), 53-96. (Opera Omnia, Series Prima XIV, 407-461.)

4. [4] L. Euler. De seriebus divergentibus. Novi Commentarii Academiae Scientiarum Petropolitanae 5 (1754/55), 205-237. (Opera Omnia, Series Prima XIV, 585-617.)

5. [5] L. Euler. Remarques sur un beau rapport entre les series des puissances tant directes que reciproques. Mémoires de l′Académie des Sciences de Berlin 17 (1761), 83-106. (Opera Omnia, Series Prima XV, 70-90.)

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