Articles with "modulo number" as a keyword



Families of Ramanujan-Type Congruences Modulo 4 for the Number of Divisors

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms11070342

Abstract: In this paper, we explore Ramanujan-type congruences modulo 4 for the function σ0(n), counting the positive divisors of n. We consider relations of the form σ08(αn+β)+r≡0(mod4), with (α,β)∈N2 and r∈{1,3,5,7}. In this context, some conjectures… read more here.

Keywords: number divisors; type congruences; modulo number; families ramanujan ... See more keywords