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Searching symbolically for Ape´ry-like formulae for values of the Riemann zeta function

Published: 01 June 1996 Publication History

Abstract

We discuss some aspects of the search for identities using computer algebra and symbolic methods. To keep the discussion as concrete as possible, we shall focus on so-called Apéry-like formulae for special values of the Riemann Zeta function. Many of these results are apparently new, and much more work needs to be done before they can be formally proved and properly classified. A first step in this direction can be found in [1].

References

[1]
[1] Ronald L. Graham, Donald E. Knuth, and Oren Patashnik, Concrete Mathematics, Addison-Wesley, New York, 1989, pp. 224-228.
[2]
[2] Max Koecher, Klassische Elementaire Analysis, Birkhäuser, Boston, 1987.
[3]
[3] Max Koecher, Letter, Math. Intelligencer 2 (1980), 62-64.
[4]
[4] Bruce C. Berndt, Modular Transformations and Generalizations of Several Formulae of Ramanujan, Rocky Mt. J. Math. 7 (1977), 147-189.

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Published In

cover image ACM SIGSAM Bulletin
ACM SIGSAM Bulletin  Volume 30, Issue 2
June 1996
42 pages
ISSN:0163-5824
DOI:10.1145/235699
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 June 1996
Published in SIGSAM Volume 30, Issue 2

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