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Common extension of bilateral series for Andrews’ q-Bailey and q-Gauss sums

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Abstract

By means of the modified Abel lemma on summation by parts, we establish a common bilateral series extension of the q-Bailey and q-Gauss sums discovered by Andrews (Duke Math. J. 40 (1973), 525–528).

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Authors and Affiliations

  1. Institute of Combinatorial Mathematics, Hangzhou Normal University, Hangzhou, 310036, People’s Republic of China

    Wenchang Chu

  2. Dipartimento di Matematica, Università del Salento, Via Provinciale Lecce–Arnesano, P. O. Box 193, 73100, Lecce, Italy

    Wenchang Chu

  3. College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Chenying Wang

Authors
  1. Wenchang Chu
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  2. Chenying Wang
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Correspondence to Wenchang Chu.

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Chu, W., Wang, C. Common extension of bilateral series for Andrews’ q-Bailey and q-Gauss sums. Arch. Math. 94, 365–372 (2010). https://doi.org/10.1007/s00013-010-0109-1

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  • DOI: https://doi.org/10.1007/s00013-010-0109-1

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