On Müntz-type formulas related to the Riemann zeta function

2017/05/25 by Lima, Hélder
#11M06 #11M26 #33B15 #42A38 #42B10 #44A05 #44A20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.09386

Abstract

The Mellin transform and several Dirichlet series related with the Riemann zeta function are used to deduce some identities similar to the classical Müntz 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.

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