Number Theory

    

Proof of the Generalized Riemann Hypothesis

Authors: Jayesh Mewada

A beautiful pattern in Dirichlet Eta function is found. A new mathematical operator is introduced which reduces Dirichlet Eta function into a new function. It is shown that the function allows for 'Zero' at only one value of real component within the critical strip for any given value of imaginary component. Consequently it can be concluded that non-trivial 'Zeros' of Riemann Zeta function can only be on critical line, thereby proving the Riemann Hypothesis with absolute certainty. It is also shown that all the non-trivial 'Zeros' of the Riemann Zeta are simple 'Zeros'. It is then shown that the same method of proof can be generalised to the other Dirichlet L-Functions with suitable modifications, thereby proving the Generalised Riemann Hypothesis also to be true

Comments: 36 Pages.

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Submission history

[v1] 2021-09-22 23:46:07 (removed)
[v2] 2021-10-04 01:41:58

Unique-IP document downloads: 776 times

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