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Article Dans Une Revue Transactions of the American Mathematical Society Année : 2018

Rudin–Shapiro sequences along squares

Résumé

We estimate exponential sums of the form Sigma(n <= x) f(n(2)) e(nu n) for a large class of digital functions f and nu is an element of R. We deduce from these estimates the distribution along squares of this class of digital functions which includes the Rudin-Shapiro sequence and some of its generalizations.

Dates et versions

hal-02075857 , version 1 (21-03-2019)

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Christian Mauduit, Joel Rivat. Rudin–Shapiro sequences along squares. Transactions of the American Mathematical Society, 2018, 370 (11), pp.7899-7921. ⟨10.1090/tran/7210⟩. ⟨hal-02075857⟩
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