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A Simple Proof of a Congruence for a Series Involving the Little q-Jacobi Polynomials

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Abstract

We give a simple and a more explicit proof of a mod 4 congruence for a series involving the little q-Jacobi polynomials which arose in a recent study of a certain restricted overpartition function.

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References

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Acknowledgements

The author’s research is supported by the SERB-DST grant ECR/2015/000070 and he sincerely thanks SERB for the same.

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Correspondence to Atul Dixit.

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Dedicated to Professor George E. Andrews on the occasion of his 80th birthday

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Dixit, A. A Simple Proof of a Congruence for a Series Involving the Little q-Jacobi Polynomials. Ann. Comb. 23, 713–716 (2019). https://doi.org/10.1007/s00026-019-00456-5

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  • DOI: https://doi.org/10.1007/s00026-019-00456-5

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