Bernoulli Polynomials

By Fernando Rodriguez Villegas

These are notes on approaching Bernoulli polynomials as eigenvalues of certain operators acting on polynomials. It is my re-interpretation of work of E. H. Lehmer. (A new approach to Bernoulli polynomials, Amer. Math. Monthly 95(1988), 905-911.) I wrote this note at the end of my Ph.D. studies around 1989.