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http://idr.niser.ac.in:8080/jspui/handle/123456789/940| Title: | Supercongruences for Apéry-like numbers |
| Authors: | Sahu, Brundaban |
| Keywords: | Apéry-like numbers Supercongruences |
| Issue Date: | Sep-2011 |
| Publisher: | Advances in Applied Mathematics |
| Citation: | Osburn, R., & Sahu, B. (2011). Supercongruences for apéry-like numbers. Advances in Applied Mathematics, 47(3), 631–638. |
| Abstract: | It is known that the numbers which occur in Apéry’s proof of the irrationality of ζ(2) have many interesting congruence properties while the associated generating function satisfies a second order differential equation. We prove supercongruences for a generalization of numbers which arise in Beukers’ and Zagier’s study of integral solutions of Apéry-like differential equations. |
| URI: | https://doi.org/10.1016/j.aam.2011.03.002 http://idr.niser.ac.in:8080/jspui/handle/123456789/940 |
| Appears in Collections: | Journal Papers |
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