Let ϱ(n) denote the number of positive regular integers (mod n) less than or equal to n and let ϱr(n) (r ≥ 1) be the multidimensional generalization of the arithmetic function ϱ(n). We study the ...
Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...
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