Article Dans Une Revue Journal of Statistics and Mathematical Sciences Année : 2023

Exhaustive to elementary proofs of Riemann hypothesis - NUMBERS ARE 3 DIMENSIONAL

Résumé

Riemann hypothesis stands proved in three different ways of three different level of complexity.To prove Riemann hypothesis from the functional equation concept of Delta function and periodic harmonic conjugate of both Gamma and Delta functions are introduced similar to Gamma and Pi function. Other two proofs are derived using Eulers formula and elementary algebra. Analytically continuing zeta function to an extended domain, poles and zeros of zeta values are redefined. Other prime conjectures like Goldbach conjecture, Twin prime conjecture etc.. are also proved in the light of new understanding of primes. Numbers are proved to be three dimensional as worked out by Hamilton. Logarithm of negative and complex numbers are redefined using extended number system. Factorial of negative and complex numbers are redefined using values of Delta function and periodic harmonic conjugate of both Gamma and Delta functions.

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hal-04322543 , version 1 (05-12-2023)

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India Kolkata, Surajit Ghosh. Exhaustive to elementary proofs of Riemann hypothesis - NUMBERS ARE 3 DIMENSIONAL. Journal of Statistics and Mathematical Sciences, 2023. ⟨hal-04322543⟩
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