Number Theory Seminar

Arithmetic aspects of Hecke traces

Liubomir Chiriac, Associate Professor, Fariborz Maseeh Department of Mathematics and Statistics, Portland State University,

We use a recent implication of Maeda's Conjecture to motivate several lines of inquiry into the behavior of traces of Hecke operators. Special focus is placed on uniqueness questions and Lehmer-type problems. To support these investigations, we discuss computational techniques drawn from p-adic analysis and Diophantine approximation. These methods aim to provide both conceptual insights and practical tools for further exploration.

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