Haiyang Wang

collaborators

4 papers

math.NT2025

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…

math.NT2025

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 $R_{l}^{*} (n)$ as the number of overpartitions of $n$ in which non-overlined parts are not divisible by $l$ . In a recent work, Nath, Saikia, and the second author…

math.NT2025

Extending Recent Congruence Results on $(ℓ, I^¼)$ -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 $R_{ℓ, I^¼} (n)$ , which enumerates th…

math.NT2025

Extending recent work of Nath, Saikia, and Sarma on $k$ -tuple $ℓ$ -regular partitions

Bishnu Paudel, James A. Sellers, Haiyang Wang

Let $T_{ℓ, k} (n)$ denote the number of $ℓ$ -regular $k$ -tuple partitions of $n$ . In a recent work, Nath, Saikia, and Sarma derived several families of congruences for $T_{\ell,…

Minimal Mahler Measure in Quartic Galois Number Fields

Elementary Proofs of Recent Congruences for Overpartitions Wherein Non-Overlined Parts are Not Divisible by 6

Extending Recent Congruence Results on (ℓ,I^¼)-Regular Overpartitions

Extending recent work of Nath, Saikia, and Sarma on k-tuple ℓ-regular partitions

Extending Recent Congruence Results on $(ℓ, I^¼)$ -Regular Overpartitions

Extending recent work of Nath, Saikia, and Sarma on $k$ -tuple $ℓ$ -regular partitions