A divisibility conjecture for MacMahon's generalized divisor sums

Let MO(t,n)MO(t,n) denote the MacMahon-type arithmetic function used in the paper, and let t,nt,n be integers. MacMahon divisibility conjecture. If t=10t=10, then

11MO(t,11n+7).11\mid MO(t,11n+7).

The paper presents this congruence as an invitation for further work using different techniques; no proof or disproof is supplied in the given text.

Sources & referencesView supporting material

Primary source

Tewodros Amdeberhan, George E. Andrews and Roberto Tauraso, “Extensions of MacMahon's sums of divisors”, arXiv:2309.03191 (2023).

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