Arindam Roy

collaborators

3 papers

math.NT2025

Log-concavity And The Multiplicative Properties of Restricted Partition Functions

Arindam Roy

The partition function $p (n)$ and many of its related restricted partition functions have recently been shown independently to satisfy log-concavity: $p (n)^{2} \geq p (n - 1) p (n + 1)$ for…

math.CO2025

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…

math.NT2024

Non-zero values of a family of approximations of a class of $L$ -functions

Arindam Roy, Kevin You

Consider the approximation $Z ~_{N} (s) = \sum_{n = 1}^{N} n^{- s} + I ¨ (s) \sum_{n = 1}^{N} n^{1 - s}$ of the Riemann zeta function $I^¶ (s)$ , where $I ¨ (s)$ is the ratio of the gamma functio…

Log-concavity And The Multiplicative Properties of Restricted Partition Functions

Homological spectral graph theory and weighted cycle counting

Non-zero values of a family of approximations of a class of L-functions

Non-zero values of a family of approximations of a class of $L$ -functions