PAPER / ARXIV:2609.07583

Zeros of Ramanujan-Like Polynomials

Benjamin Fichter , Vishal Shah , Wiseley Wong

RESUMO

In this paper we study a naturally occurring variant of Ramanujan polynomials with a Bernoulli convolution structure, $S_v$, related to the double Mordell-Tornheim series. In particular, we prove for even $v$ all zeros of $S_v$ lie on the complex unit circle, and for even $v \ge 4$ they are simple with the exception of roots at $1, -1$, which are double roots.

NO MESMO MAPA

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