Yuqing He, Pingzhi Yuan: Results on some conjectures about binomial coefficients, 429-448

Abstract:

Z. W. Sun, V. J. W. Guo and C. Krattenthaler proposed several conjectures about arithmetic properties of binomial coefficients. In this paper, we aim to give new results for these conjectures or their extensions. In particular, we partially solve a conjecture of Z. W. Sun.

Key Words: Binomial coefficient, $p$-adic valuation, greatest common divisor, congruences.

2020 Mathematics Subject Classification: Primary 11B65; Secondary 05A10, 11A07.

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