Journal of Mathematical Problems, Equations and Statistics
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P-ISSN: 2709-9393, E-ISSN: 2709-9407
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2025, Vol. 6, Issue 1, Part C


Proving that Reimann’s hypothesis is true


Author(s): BRV Sumith Kumar

Abstract: The Riemann zeta function ζ(s) is a function whose argument s is a complex number other than 1. In general, ζ(s) is complex. It has zeros at the negative even integer i.e. ζ(s) = 0 when s is −2, −4, −6 and so on. These are called its trivial zeros. The zeta function is also zero for other values of s, which are called nontrivial zeros. The Riemann hypothesis is concerned with the locations of nontrivial zeros, and states that the real part of every nontrivial zero of the Riemann zeta function is ⁠1/2⁠. This paper gives a mathematical proof that Reimann’s hypothesis is true. It is shown that zeros of Reimann Zeta function when 0 < Re(s) < 1 lies on the line Re(s) = 0.5.

Pages: 249-250 | Views: 379 | Downloads: 350

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Journal of Mathematical Problems, Equations and Statistics
How to cite this article:
BRV Sumith Kumar. Proving that Reimann’s hypothesis is true. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(1): 249-250.
Journal of Mathematical Problems, Equations and Statistics
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