3 papers
math.HO2026
Learning from Ramanujan: Elementary Approaches to Profound Ideas
Zachary P. Bradshaw, C. Vignat
We revisit several entries from Ramanujan's notebooks which follow from more elementary arguments than a first glance may suggest. Our goal is to demystify these results through mo…
math.NT2026
A trigonometric approach to an identity by Ramanujan
C. Vignat
An identity by Ramanujan is expressed using polar coordinates, so that its proof reduces to the verification of an elementary trigonometric identity. This approach produces a few v…
math.CO2025
Bernoulli and Euler Partitions
Thomas Curtright, Christophe Vignat
Exact rational partitions are presented for Bernoulli and Euler numbers as novel sums involving Faulhaber and Salié coefficients.