2 papers
math.NT2025
The joy of multisection: elementary approaches to Ramanujan's lacunary identities for Bernoulli numbers
Parth Chavan, Christophe Vignat
An identity by Ramanujan related to the multisection of Bernoulli numbers is revisited. Two alternative approaches are proposed, both relying on the multisection technique. A geome…
math-ph2009
Old and New Results About Relativistic Hermite Polynomials
C. Vignat
The relativistic Hermite polynomials (RHP) were introduced in 1991 by Aldaya et al. in a generalization of the theory of the quantum harmonic oscillator to the relativistic context…