Elegant expressions and generic formulas for the Riemann zeta function for integer arguments
Year: 2012
Type: preprint
Abstract: A new definition for the Riemann zeta function for all positive integer number s > 1 is presented. We discover a most elegant expression and easy method for calculating the Riemann zeta function for small even integer values. Through this new reformulation we provide a one-line proof of the value of zeta(2) and demonstrate that zeta(2s) may be calculated by hand using only the cotangent function when the magnitude of the integer s is small.
Source: arXiv (Cornell University)
Author: Idowu, Michael A.
Institution: Abertay University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1600026316