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JAT
2006

An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials

8 years 11 months ago
An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials
We construct a measure such that if {pn(z)} is the sequence of orthogonal polynomials relative to that measure, then the Riemann Hypothesis with simple zeros is true if and only if limn p2n(z) p2n(0) = (1/2+iz) (1/2) where (s) = 1 2 s(s - 1)-s/2(s/2)(s) is the Riemann -function.
David A. Cardon, Sharleen A. Roberts
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JAT
Authors David A. Cardon, Sharleen A. Roberts
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