4 papers
math.NT2024
Non-zero values of a family of approximations of a class of -functions
Arindam Roy, Kevin You
Consider the approximation of the Riemann zeta function , where is the ratio of the gamma functions.…
math.NT2024
End behavior of Ramanujan's taxicab numbers
Brennan Benfield, Oliver Lippard, Arindam Roy
Generalized taxicab numbers are the smallest positive integers that are the sum of exactly , positive -th powers in exactly distinct ways. This paper is considers for whi…
math.NT2024
Log-concavity And The Multiplicative Properties of Restricted Partition Functions
Arindam Roy
The partition function and many of its related restricted partition functions have recently been shown independently to satisfy log-concavity: for…
math.CO2024
Homological spectral graph theory and weighted cycle counting
Ye Luo, Arindam Roy
Twisting a finite graph by its homology characters produces families of generally non- Hermitian weighted vertex and edge adjacency matrices. We show that these families are organi…