On the Distribution of the non-trivial Roots of Riemann's Zeta Function. An alternative Approach

Details On the Distribution of the non-trivial Roots of Riemann's Zeta Function. An alternative Approach On the Distribution of the non-trivial Roots of Riemann's Zeta Function. An alternative Approach

2009-06-02

arxiv.org/abs/0906.0565v1

Mathematics

Number Theory

Scientific paper

Expressing Weierstrass type infinite products in terms of Stieltjes integrals
is discussed. The asymptotic behavior of particular types of infinite products
is compared against the asymptotic behavior of the entire function Xi(s),
well-known in Riemann zeta function theory. An approximate formula for the
distribution of the non-trivial roots of Riemann's zeta function is obtained.

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