APÉRY-LIKE NUMBERS ARISING FROM SPECIAL VALUES OF SPECTRAL ZETA FUNCTIONS FOR NON-COMMUTATIVE HARMONIC OSCILLATORS
Author:
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/kyushujm/60/2/60_2_383/_pdf
Reference20 articles.
1. [1] S. Ahlgren and K. Ono. A Gaussian hypergeometric series evaluation and Apéry number congruences. J. Reine Angew. Math. 518 (2000), 187-212.
2. [2] G. E. Andrews, R. Askey and R. Roy. Special Functions (Encyclopedia of Mathematics and its Applications, 71). Cambridge University Press, Cambridge, 1999.
3. [3] F. Beukers. Some congruences for Apéry numbers. J. Number Theory 21 (1985), 141-155.
4. [4] F. Beukers. Another congruence for the Apéry numbers. J. Number Theory 25 (1987), 201-210.
5. [5] F. Beukers and C. A. M. Peters. A family of K3 surfaces and ζ(3). J. Reine Angew. Math. 351 (1984), 42-54.
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