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The Van der Pol Fourier Integral Representation of the Riemann Zeta Function

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posted on 2023-08-31, 04:13 authored by noureddine kermichenoureddine kermiche

The Van der Pol Fourier representation of the Riemann Zeta function in the critical strip is evaluated using the Fast Fourier Transform (FFT) algorithm and the Method of Stationary Phase. The Method of Stationary Phase approximation allows us to introduce a new representation for the zeta function. The new representation is used to propose new analytic predictions about non-trivial zeros.

History

Email Address of Submitting Author

noureddine.kermiche@wdc.com

ORCID of Submitting Author

0000-0002-2762-5911

Submitting Author's Institution

Western Digital

Submitting Author's Country

  • United States of America