Tuesday 31 October 2023

The Gamma and Zeta Functions with Infinite Polynomial Products | Chapter 12 | Research and Applications Towards Mathematics and Computer Science Vol. 5

 A numerical hypothesis that was originally put forward in 1859 and is still unsubstantiated as of 2015. The phrase "the Holy Grail of mathematics" has happened used to depict this issue, which is probably the most familiar of all open problems in arithmetic. Although it has connections to different branches of arithmetic, it is often associated with the disposal of prime numbers. The infinite device representation of the gamma function and the zeta function are calm of an exponential and a concerning manipulation of numbers component, and this representation is illustrated by starting with the binomial cooperative and engaging its limitless product form.  It is confirmed, that all these components delineate imaginary ancestries on the critical line, if composed in the form as they are in the functional equating of the zeta function.

Author(s) Details:

Pál Doroszlai,
Fö utca, 8254 Kékkút, Hungary.

Horacio Keller,
Swiss Federal Institute of Technology, Switzerland.

Please see the link here: https://stm.bookpi.org/RATMCS-V5/article/view/12322

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