A rigorous computer aided estimation for Gelfond exponent of weighted Thue-Morse sequences
Abstract
In this paper, we will provide a mathematically rigorous computer aided estimation for the exact values and robustness for Gelfond exponent of weighted Thue-Morse sequences. This result improves previous discussions on Gelfond exponent by Gelfond, Devenport, Mauduit, Rivat, S\'ark\"ozy and Fan et. al.
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