Aeran Kim - CONGRUENCES CONCERNING LEGENDRE POLYNOMIALS MODULO p^2

cm:10767 - Communications in Mathematics, February 14, 2023, Volume 32 (2024), Issue 1 - https://doi.org/10.46298/cm.10767
CONGRUENCES CONCERNING LEGENDRE POLYNOMIALS MODULO p^2Article

Authors: Aeran Kim 1

  • 1 Kim

In this article, we extend Z. H. Sun's congruences concerning Legendre polynomials P p−1 2 (x) to P p+1 2 (x) for odd prime p, which enables us to deduce some congruences resembling p+1 2 ∑ k=0 4pk + 4k 2 − 1 16 k (2k − 1) 2 (2k k)2 (mod p 2).


Volume: Volume 32 (2024), Issue 1
Published on: February 14, 2023
Accepted on: January 4, 2023
Submitted on: January 4, 2023
Keywords: [MATH]Mathematics [math]

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