Certain Supercongruences Deriving from Hypergeometric Series Identities

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Authors

  • Arijit Jana
     Department of Science and Mathematics, Indian Institute of Information Technology, Guwahati, Bongora, Assam-781015 ,IN

DOI:

https://doi.org/10.18311/jims/2023/29183

Keywords:

Supercongruences, Hypergeometric Series, p-Adic Gamma Functions.
Number Theory

Abstract

In this paper, we deduce some supercongruences for sums involving third power of certain rising factorials using hypergeometric series identities and evaluations. In particular, we first relate a truncated hypergeometric sum with the coefficients of the modular form of weight 3. Further, we confirm certain supercongruence conjectures related to truncated hypergeometric series.

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Published

2023-07-12

How to Cite

Jana, A. (2023). Certain Supercongruences Deriving from Hypergeometric Series Identities. The Journal of the Indian Mathematical Society, 90(3-4), 357–365. https://doi.org/10.18311/jims/2023/29183

Issue

Volume 90, Issue 3-4, July-December 2023

Section

Articles

License

Copyright (c) 2023 Arijit Jana

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2021-12-25
Accepted 2022-02-15
Published 2023-07-12

 

References

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