Distribution of 3-regular and 5-regular partitions
Distribution of 3-regular and 5-regular partitions
In this paper we study the function $b_3(n)$ and $b_5(n)$, which denote the number of $3$-regular partitions and $5$-regular partitions of $n$ respectively. Using the theory of modular forms, we prove several arithmetic properties of $b_3(n)$ and $b_5(n)$ modulo primes greater than $3$.
typos corrected
Partitions; congruences and congruential restrictions, Mathematics - Number Theory, Dedekind eta function, Dedekind sums, FOS: Mathematics, regular partitions, Number Theory (math.NT), Congruences for modular and \(p\)-adic modular forms
Partitions; congruences and congruential restrictions, Mathematics - Number Theory, Dedekind eta function, Dedekind sums, FOS: Mathematics, regular partitions, Number Theory (math.NT), Congruences for modular and \(p\)-adic modular forms
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