Uniform approximation of some Dirichlet series by partial products of Euler type

Details Uniform approximation of some Dirichlet series by partial products of Euler type Uniform approximation of some Dirichlet series by partial products of Euler type

2010-08-04

arxiv.org/abs/1008.0852v3

Mathematics

General Mathematics

The method of the paper based on a new measure introduced in infinite dimensional unit cube

Scientific paper

In the present work we show that the Dirichlet series with the Euler product, having analytical continuation to the critical strip without singularities, in some natural conditions, can be approximated by partial products of Euler type in the circles of the critical strip, where the primes, over which are taken the products, are distributed by a suitable way. The family of such series includes many of widely used Dirichlet series as the zeta-function, Dirichlet L-functions and etc. As a consequence the analog of the Riemann Hypothesis for such series is proven.

Affiliated with

Also associated with

No associations

Rating

Uniform approximation of some Dirichlet series by partial products of Euler type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniform approximation of some Dirichlet series by partial products of Euler type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniform approximation of some Dirichlet series by partial products of Euler type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83318