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

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

2002-06-18

arxiv.org/abs/math/0206171v2

Kyushu Journal of Mathematics, Vol.57 No.1, 2003, 175--192

Mathematics

Quantum Algebra

14 pages

Scientific paper

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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