Number Theory

    

On the Irrationality of Riemann Zeta Functional Value at Odd Integers

Authors: Shubhayan Ghosal

In this article we provide a proof of the irrationality of ζ(2n+1) ∀n ∈ N.Also,in our attempt, we construct an upper bound to the Zeta values at odd integers.It is interesting to see how the irrationality of Zeta values at even positive integers mixed up with Dirichletsirrationality criterion and this bound accelerates our proof further,case by case.

Comments: 4 Pages.

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Submission history

[v1] 2022-11-20 03:31:48

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