A new approach towards solving the Riemann hypothesis
Keyword(s):
In this paper, I attempt to solve one of the most difficult problems in modern mathematics-'The Riemann Hypothesis'. I redefine the gamma function and use that modified form along with some identities from Fourier analysis and concepts from complex analysis to show that all the non-trivial zeros of the Riemann zeta function must lie on the critical line and then by recalling Hardy's theorem I prove the Riemann hypothesis.
Keyword(s):
2013 ◽
Vol 25
(2)
◽
pp. 285-305
◽
Keyword(s):
2018 ◽
Vol 72
(3)
◽
pp. 500-535
◽
Keyword(s):
Keyword(s):
2006 ◽
Vol 463
(2077)
◽
pp. 303-319
◽