6 papers
Elementary proofs of congruences modulo 5 for overpartitions with restricted odd differences
Bishnu Paudel, James A. Sellers, Haiyang Wang
In 2015, Bringmann, Dousse, Lovejoy, and Mahlburg defined the function to be the number of overpartitions of weight where (i) the difference between two succe…
Eta-Quotient Representations for a Three Parameter Family of Modular Functions Associated with the Rogers-Ramanujan Continued Fraction
Bishnu Paudel, James A. Sellers, Haiyang Wang
In 2021, Chern and Tang introduced two families of two-parameter modular functions associated with the Rogers-Ramanujan continued fraction. They established recurrence relations th…
Minimal Mahler Measure in Quartic Galois Number Fields
Bishnu Paudel, Kathleen Petersen, Haiyang Wang
We explore the dependence of the minimal integral Mahler measure of Galois quartic fields on the discriminant of the field. We obtain density results which are conditional on the A…
Elementary Proofs of Recent Congruences for Overpartitions Wherein Non-Overlined Parts are Not Divisible by 6
Bishnu Paudel, James A. Sellers, Haiyang Wang
We define as the number of overpartitions of in which non-overlined parts are not divisible by . In a recent work, Nath, Saikia, and the second author…
Extending Recent Congruence Results on -Regular Overpartitions
Bishnu Paudel, James A. Sellers, Haiyang Wang
Recently, Alanazi, Munagi, and Saikia employed the theory of modular forms to investigate the arithmetic properties of the function , which enumerates the…
Extending recent work of Nath, Saikia, and Sarma on -tuple -regular partitions
Bishnu Paudel, James A. Sellers, Haiyang Wang
Let denote the number of -regular -tuple partitions of . In a recent work, Nath, Saikia, and Sarma derived several families of congruences for $T_{\ell,…