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Aq-analog of Euler's decomposition formula for the double zeta function

2005
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International Journal of Mathematics and Mathematical Sciences
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The double zeta function was first studied by Euler in response to a letter from Goldbach in 1742. One of Euler's results for this function is a decomposition formula, which expresses the product of two values of the Riemann zeta function as a finite sum of double zeta values involving binomial coefficients. Here, we establish aq-analog of Euler's decomposition formula. More specifically, we show that Euler's decomposition formula can be extended to what might be referred to as a "doubleq-zeta

doi:10.1155/ijmms.2005.3453
fatcat:lrjs4pundjburiebp2kcjmhp5q