ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS

By David Penniston. 2008

64 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/136080e0000f63849e263faa62807dd7857f0524

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. George E. Andrews
2. James A. Sellers
3. J. J. Webb
4. Michael D. Hirschhorn
5. V. Spiridonov
6. Kathrin Bringmann
7. Eric T. Mortenson
8. William J. Keith

In Discrete Mathematics and Combinatorics

1. James A. Sellers
2. J. J. Webb
3. George E. Andrews
4. Michael D. Hirschhorn
5. V. Spiridonov
6. Kathrin Bringmann
7. Eric T. Mortenson
8. Frank G. Garvan

Citations in the corpus

• Arithmetic properties of partitions with even parts distinct (2010, background): “The reader interested in work involving regular partitions may wish to see Alladi [1], Andrews [2, Theorem 9], [3], Dandurand and Penniston [5], Granville and Ono [6], Gordon and Ono [7], Patkowski [9], and Penniston [10].”
• Arithmetic of the 13-regular partition function modulo 3 (2011, background): “integer j , the arithmetic density of integers n for which bk(n) ≡ 0 (mod p j ) is 1. In [12] and [ 13 ], Penniston proves results on the distribution of bk(n) in residue classes modulo a prime p. Specifically, in [13], if k �= p are primes with 3 ≤ k ≤ 23 and p ≥ 5, then the density of positive int”