Further Cases Of Dirichlet Series Analogues Of q-Series

Mathematics Research Report MRR95-084

Further Cases Of Dirichlet Series Analogues Of q-Series

Geoffrey B. Campbell

Abstract: In ealier papers by the author [5-7] classes of Dirichlet series based on analogues of q-series were introduced. Examples given were the so-named D-binomial series, Dirichlet series analogues of the q-Gauss formula, q-Kummer, and the q-Dixon sums. Our notation was suggestive of the relation to a multidimensional divisor function in the Dirichlet series coefficients. The D-analogues were later shown by the author in [7], to be representative of two separate classes of results. Our current paper gives further D-series analogues of q-series in which the finite Euler product is taken to arrive at the summations.

This service is maintained by the Mathematical Sciences Institute (MSI)
Comments to webmaster@maths.anu.edu.au URL: http://wwwmaths.anu.edu.au/