N. A. S. Bulkhali

activity

20242026

collaborators

3 papers

math.NT2026

Universal sums via products of Ramanujan's theta functions

Nasser Abdo Saeed Bulkhali, Zhi-Wei Sun

An integer-valued polynomial $P (x, y, z)$ is said to be universal (over $Z$ ) if each nonnegative integer can be written as $P (x, y, z)$ with $x, y, z \in Z$ . In this paper,…

math.NT2025

Universal quaternary mixed sums involving generalized 3-, 4-, 5- and 8-gonal numbers via products of Ramanujan's theta functions

Nasser Abdo Saeed Bulkhali, A. Vanitha, M. P. Chaudhary

Generalized $m$ -gonal numbers are those $p_{m} (x) = [(m - 2) x^{2} - (m - 4) x] /2$ where $x$ and $m$ are integers with $m \geq 3$ . If any nonnegative integer can be written in the form…

math.NT2024

On a product of three theta functions and the number of representations of integers as mixed ternary sums involving squares, triangular, pentagonal and octagonal numbers

N. A. S. Bulkhali, G. Kavya Keerthana, Ranganatha Dasappa

In this paper, we derive a general formula to express the product of three theta functions as a linear combination of other products of three theta functions. Moreover, we use the…