A bivariate generating function for zeta values and related supercongruences. Issue 11 (1st December 2020)
- Record Type:
- Journal Article
- Title:
- A bivariate generating function for zeta values and related supercongruences. Issue 11 (1st December 2020)
- Main Title:
- A bivariate generating function for zeta values and related supercongruences
- Authors:
- Tauraso, Roberto
- Abstract:
- ABSTRACT: By using the Wilf–Zeilberger method, we prove a novel finite combinatorial identity related to a bivariate generating function for ζ ( 2 + r + 2 s ) . Such identity, which is an extension of a Bailey–Borwein–Bradley Apéry-like formula for even zeta values, is then applied to show several supercongruences.
- Is Part Of:
- Journal of difference equations and applications. Volume 26:Issue 11/12(2020)
- Journal:
- Journal of difference equations and applications
- Issue:
- Volume 26:Issue 11/12(2020)
- Issue Display:
- Volume 26, Issue 11/12 (2020)
- Year:
- 2020
- Volume:
- 26
- Issue:
- 11/12
- Issue Sort Value:
- 2020-0026-NaN-0000
- Page Start:
- 1526
- Page End:
- 1537
- Publication Date:
- 2020-12-01
- Subjects:
- Congruences -- central binomial coefficients -- harmonic numbers -- Wilf–Zeilberger method -- zeta values -- Apéry-like series
11A07 -- 05A19 -- 11B65 -- 11M06
Difference equations -- Periodicals
515.625 - Journal URLs:
- http://www.tandfonline.com/toc/gdea20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/10236198.2020.1856827 ↗
- Languages:
- English
- ISSNs:
- 1023-6198
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 4969.490000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 22370.xml