arXiv Analytics

Sign in

arXiv:math/0607202 [math.NT]AbstractReferencesReviewsResources

Some more identities of the Rogers-Ramanujan type

Douglas Bowman, James Mc Laughlin, Andrew V. Sills

Published 2006-07-07, updated 2018-12-22Version 3

In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.

Comments: 16 pages
Journal: The Ramanujan Journal Volume 18, Issue 3 (2009), Page 307
Categories: math.NT, math.CO
Subjects: 33D15, 05A17, 05A19, 11B65, 11P81, 33F10
Related articles: Most relevant | Search more
arXiv:2209.11075 [math.NT] (Published 2022-09-22)
Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series
arXiv:1812.06324 [math.NT] (Published 2018-12-15)
Some $q$-supercongruences from transformation formulas for basic hypergeometric series
arXiv:1901.04840 [math.NT] (Published 2019-01-04)
Some Implications of the WP-Bailey Tree