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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… Click to show full 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 ∑k≡i(mo...
Keywords:
powers binomial;
sums powers;
lacunary sums;
binomial coefficients;
supercongruences lacunary
Journal Title: International Journal of Number Theory
Year Published: 2018
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Journal Title: International Journal of Number Theory
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!