3 papers
math.NT2025
A Unified Approach to Calculating Sylvester Sums
Neha Gupta, Manoj Upreti
In the context of the Frobenius coin problem, given two relatively prime positive integers and , the set of nonrepresentable numbers consists of positive integers that canno…
math.CO2024
The Frobenius number for the triple of the 2-step star numbers
Takao Komatsu, Ritika Goel, Neha Gupta
In this paper, we give closed form expressions of the Frobenius number for the triple of the -step star numbers for an integer . These numbers have been…
math.NT2024
Frobenius numbers associated with Diophantine triples of (extended version)
Takao Komatsu, Neha Gupta, Manoj Upreti
We give an explicit formula for the -Frobenius number of triples associated with Diophantine equations , that is, the largest positive integer that can only be repr…