A variation of Euler's approach to values of the Riemann zeta function

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64325An elementary method of computing the values at negative integers of the Riemann zeta function is presented. The principal ingredient is a new q-analogue of the Riemann zeta function. We show that for any argument other than 1 the classical limit of this q-analogue exists and equals the value of the Riemann zeta.14 pagesQuantum AlgebraNumber Theory11M06 (primary), 11B65 (secondary)A variation of Euler's approach to values of the Riemann zeta functiontext