On Trivial Zeros of Zeta Function and Problems with the Analytic Continuation

Manvendra Somvanshi

doi:https://doi.org/10.14445/22315373/IJMTT-V55P557

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 6 | Year 2018 | Article Id. IJMTT-V55P557 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P557

On Trivial Zeros of Zeta Function and Problems with the Analytic Continuation

Manvendra Somvanshi

Abstract

This paper is based on the Riemann Hypothesis and trivial zeros of the zeta function. The paper shows the reasons of why the analytic continuation of zeta function is wrong in two peculiar ways. Identities are derived from the very definition of analytic functions that are contradictory to those given by Riemann hypothesis.

Keywords

Trivial Zeros, Continuation, Zeta Function, Hypothesis

References

[1] Bernhard Riemann, The Number of Primes Less Than a Given Quantity, 1859.

Citation :

Manvendra Somvanshi, "On Trivial Zeros of Zeta Function and Problems with the Analytic Continuation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 6, pp. 430-433, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P557