On Berndt-Straub conjectures about zeros of generalized Ramanujan polynomials

Siddhi Pathak

We settle two conjectures of Berndt and Straub asserting that all nonzero zeros of the generalized Ramanujan polynomials $R_k(x;\chi ,\psi )$ and $S_{2n}(x;\chi ,\chi )$ lie on the unit circle for…