Hélder Lima
Published 2017-05-25Version 1
The Mellin transform and several Dirichlet series related with the Riemann zeta function are used to deduce some identities similar to the classical M\"untz formula [4]. These formulas are derived in the critical strip and in the half-plane $Re(s)<0$. As particular cases, integral representations for products of the gamma and zeta functions are exhibited.
Searching symbolically for Apery-like formulae for values of the Riemann zeta function
Some infinite series involving the Riemann zeta function
An asymptotic approximation for the Riemann zeta function revisited
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