- Title
- Thirty-two Goldbach variations
- Creator
- Borwein, Jonathan M.; Bradley, David M.
- Relation
- International Journal of Number Theory Vol. 2, Issue 1, p. 65-103
- Publisher Link
- http://dx.doi.org/10.1142/S1793042106000383
- Publisher
- World Scientific Publishing
- Resource Type
- journal article
- Date
- 2006
- Description
- We give thirty-two diverse proofs of a small mathematical gem — the fundamental Euler sum identity ζ(2, 1) = ζ(3) = 8 ζ(¯/2, 1). We also discuss various generalizations for multiple harmonic (Euler) sums and some of their many connections, thereby illustrating both the wide variety of techniques fruitfully used to study such sums and the attraction of their study.
- Subject
- multiple harmonic series; multiple zeta values; Euler sums; Euler-Zagier sums
- Identifier
- http://hdl.handle.net/1959.13/940717
- Identifier
- uon:13088
- Identifier
- ISSN:1793-0421
- Rights
- Electronic version of an article published as International Journal of Number Theory Vol. 2, Issue 1, 2006, p. 65-103 http://dx.doi.org/10.1142/S1793042106000383 © copyright World Scientific Publishing Company http://www.worldscientific.com/loi/ijnt
- Language
- eng
- Full Text
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