Hedgehogs in Lehmer's problem
Jan-Willem M. van Ittersum, Berend Ringeling, Wadim Zudilin
TL;DR
This paper explores an analytic analogue of Lehmer's problem concerning the Mahler measure, providing new insights and solutions to this longstanding mathematical question.
Contribution
It introduces and solves an analytic analogue of Lehmer's problem, advancing understanding of Mahler measures in a new context.
Findings
Solved the analytic analogue of Lehmer's problem
Provided new bounds related to Mahler measures
Enhanced understanding of Lehmer's question in analysis
Abstract
Motivated by a famous question of Lehmer about the Mahler measure we study and solve its analytic analogue.
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