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On an extremal property of the Rudin-Shapiro sequence

  • Jean-Paul Allouche (a1) and Michel Mendès France (a2)


Extending the well-known property of the Rudin- Shapiro sequence ε = (ε(n)) with values in {−1, +1} satisfying

we show that for all unimodular 2-multiplicative sequences f = (f(n))



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