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math.GM2010
The Dirichlet series that generates the Möbius function is the inverse of the Riemann zeta function in the right half of the critical strip
Roupam Ghosh
In this paper I introduce a criterion for the Riemann hypothesis, and then using that I prove converges for . I use a step functi…
math.GM2010
On integrals of fractional parts and the theory of prime differences
Roupam Ghosh
In this paper we study the integrals of fractional parts of given functions, and develop some new tools to understand the behaviour of prime differences. We demonstrate how simply…