3 papers
math.CO2026
The range and omitted values of a certain sequence involving the partition function
Kalyan Chakraborty, Alisha Kazi, Manoj Upreti
Let \(p(n)\) denote the ordinary partition function. Motivated by analogous questions concerning Euler's totient function and its complementary counting function, we study the rang…
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.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…