Generating functions for finite sums involving higher powers of binomial coefficients: Analysis of hypergeometric functions including new families of polynomials and numbers
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DOI: 10.1016/j.jmaa.2019.05.015
Abstract: The origin of this study is based on not only explicit formulas of finite sums involving higher powers of binomial coefficients, but also explicit evaluations of generating functions for this sums. It should be emphasized… read more here.
Keywords: powers binomial; binomial coefficients; sums involving; new families ... See more keywords
Supercongruences for some lacunary sums of powers of binomial coefficients
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Number Theory"
DOI: 10.1142/s1793042118501294
Abstract: Let a,n,m ∈ ℤ+ with (a,p) = 1 and p be an odd prime. We find a supercongruence for ∑p|kapn km and related sums of powers of binomial coefficients. These results complement prior results for… read more here.
Keywords: powers binomial; sums powers; lacunary sums; binomial coefficients ... See more keywords