2 papers
math.CO2025
Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory
Rebecca Carter, M. Ram Murty
After a brief review of the key theorems concerning recurrent sequences, we give an explicit computation of the inverse of the Vandermonde matrix. This will then be used to derive…
math.NT2025
Wieferich primes in number fields and the conjectures of Ankeny--Artin--Chowla and Mordell
Nic Fellini, M. Ram Murty
For a prime , let \[ \varepsilon = \frac{1}{2}\left( t + u\sqrt{p}\right) \] be the fundamental unit of the real quadratic field . In…