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A few equalities involving integrals of the logarithm of the Riemann Zeta-function and equivalent to the Riemann hypothesis
Sergey K. Sekatskii, Stefano Beltraminelli, Danilo Merlini
Using a generalized Littlewood theorem concerning integrals of the logarithm of analytical functions, we have established a few equalities involving integrals of the logarithm of t…
A Hidden Symmetry Related to the Riemann Hypothesis with the Primes into the Critical Strip
Stefano Beltraminelli, Danilo Merlini, Sergey Sekatskii
In this note concerning integrals involving the logarithm of the Riemann Zeta function, we extend some treatments given in previous pioneering works on the subject and introduce a…
Other representations of the Riemann Zeta function and an additional reformulation of the Riemann Hypothesis
Stefano Beltraminelli, Danilo Merlini
New expansions for some functions related to the Zeta function in terms of the Pochhammer's polynomials are given (coefficients b(k), d(k), d_(k) and d__(k). In some formal limit o…