A variation of Euler's approach to values of the Riemann zeta function
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riemannzetafunctionq-analoguevaluesapproachargumentclassical
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An 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.
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