Some 3-adic congruences for binomial sums
Yong Zhang, Hao Pan
TL;DR
This paper proves new 3-adic congruences related to binomial sums, confirming conjectures made by Sun, and advances understanding of number theoretic properties of binomial coefficients.
Contribution
It establishes several 3-adic congruences for binomial sums that were previously conjectured, providing new insights into their number theoretic structure.
Findings
Proved conjectured 3-adic congruences for binomial sums
Enhanced understanding of binomial coefficient properties in 3-adic number system
Confirmed Sun's conjectures on binomial sum congruences
Abstract
We prove some 3-adic congruences for binomial sums, which were conjectured by Sun.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Algebraic Geometry and Number Theory