M. Merca

activity

20142026

most citedFast algorithm for generating ascending compositions

39 citations · 83 across the 24 of their papers we have counts for

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Showing 2023 · math.NTShow all

2 papers · 2 filters

math.NT2023★ 10 cited

A Partition Identity Related to Stanley's Theorem

Mircea Merca, Maxie D. Schmidt

In this paper, we use the Lambert series generating function for Euler's totient function to introduce a new identity for the number of $1$ 's in the partitions of $n$ . A new expans…

math.NT2023

$6$ -regular partitions: new combinatorial properties, congruences, and linear inequalities

Cristina Ballantine, Mircea Merca

We consider the number of the $6$ -regular partitions of $n$ , $b_{6} (n)$ , and give infinite families of congruences modulo $3$ (in arithmetic progression) for $b_{6} (n)$ . We also consid…

A Partition Identity Related to Stanley's Theorem

6-regular partitions: new combinatorial properties, congruences, and linear inequalities

$6$ -regular partitions: new combinatorial properties, congruences, and linear inequalities