A new extension of the (H.2) supercongruence of Van Hamme for primes $$p\equiv 3\pmod {4}$$

Author:

Guo Victor J. W.ORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference37 articles.

1. Andrews, G.E.: Problems and prospects for basic hypergeometric functions. In: Askey, R.A. (ed.) Theory and Application for Basic Hypergeometric Functions, pp. 191–224. Math. Res. Center, Univ. Wisconsin, Publ. No. 35, Academic Press, New York (1975)

2. Gasper, G., Rahman, M.: Basic Hpergeometric Series, 2nd Edition, Encyclopedia of Mathematics and Its Applications 96. Cambridge University Press, Cambridge (2004)

3. Gorodetsky, O.: $$q$$-Congruences, with applications to supercongruences and the cyclic sieving phenomenon. Int. J. Number Theory 15, 1919–1968 (2019)

4. Guillera, J.: WZ pairs and $$q$$-analogues of Ramanujan series for $$1/\pi $$. J. Difference Equ. Appl. 24, 1871–1879 (2018)

5. Guo, V.J.W.: A $$q$$-analogue of a Ramanujan-type supercongruence involving central binomial coefficients. J. Math. Anal. Appl. 458, 590–600 (2018)

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