Exhaustive to elementary proofs of Riemann hypothesis

Research & Reviews: Journal of Statistics and Mathematical Sciences

article

Surajit Ghosh¹ 

[1] Department of Computer Science and Engineering, Jadavpur University

关键词: Primes;    Zeta function;    Gamma function;    Analytic continuation of zeta function;    Riemann hypothesis;   

DOI  :  10.4172/J Stats Math Sci.8.6.008

来源: Research & Reviews

【 摘 要 】

Riemann hypothesis stands proved in three different ways. To prove Riemann hypothesis from the functional equation concept of delta function is introduced similar to gamma and pi function. Other two proofs are derived using Eulers formula and elementary algebra. Analytically continuing gamma and zeta function to an extended domain, poles and zeros of zeta values are redefined.

【 授权许可】

Unknown