Reduction on the congruences of partial sums of P-recursive sequences

2023/12/21 by Hou, Qing-Hu, Li, Na
#05A19 #11A07 #11B65 #33F10 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2312.13613

Abstract

Hou and Liu developed a telescoping method to prove the congruence of partial sums of P-recursive sequences. We release the requirement on the telescoper and utilize the congruence of the sequence. With this approach, we are able to confirm a conjecture of Sun and find a new congruence on the central trinomial coefficient.

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