On a conjecture of Kimoto and Wakayama
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- by Ling Long, Robert Osburn and Holly Swisher PDF
- Proc. Amer. Math. Soc. 144 (2016), 4319-4327 Request permission
Abstract:
We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apéry-like numbers associated to a special value of a spectral zeta function. Our proof uses hypergeometric series and $p$-adic analysis.References
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Additional Information
- Ling Long
- Affiliation: Department of Mathematics, Louisiana State University, 303 Lockett Hall, Baton Rouge, Louisiana 70803
- MR Author ID: 723436
- Email: llong@math.lsu.edu
- Robert Osburn
- Affiliation: School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland
- MR Author ID: 690471
- Email: robert.osburn@ucd.ie
- Holly Swisher
- Affiliation: Department of Mathematics, Oregon State University, 368 Kidder Hall, Corvallis, Oregon 97331
- MR Author ID: 678225
- Email: swisherh@math.oregonstate.edu
- Received by editor(s): December 1, 2015
- Published electronically: May 6, 2016
- Additional Notes: The first author was supported by the NSF grant DMS-1303292 and the third author thanks Tulane University for hosting her during this project
- Communicated by: Matthew A. Papanikolas
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4319-4327
- MSC (2010): Primary 33C20, 11B65; Secondary 11M41
- DOI: https://doi.org/10.1090/proc/13198
- MathSciNet review: 3531182