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A rigorous computer aided estimation for the Gelfond exponent of weighted Thue-Morse sequences.

In this talk, we will provide a mathematically rigorous computer aided estimation for the exact value of the Gelfond exponent of weighted Thue-Morse sequences. This result improves the previous discussions on the Gelfond exponent by Gelfond, Devenport, Mauduit, Rivat, Sarkozy, Fan and Shen et. al.