Thirty-two Goldbach Variations
نویسنده
چکیده
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.
منابع مشابه
Math Honours: Multiple Zeta Values
[1] EZ-Face [2] Michael Hoffman’s site contains some basic information about the MZVs. Hoffman also has a comprehensive list of references on MZVs and related stuff [3] Jonathan M. Borwein, David M. Bradley, David J. Broadhurst, and Petr Lisonek, “Special values of multidimensional polylogarithms,” Trans. Amer. Math. Soc. 353 (2001), 907–941 [4] Wadim Zudilin, “Algebraic relations for multiple ...
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