J. Bourgain, M??bius-Walsh correlation bounds and an estimate of Mauduit and Rivat, Journal d'Analyse Math??matique, vol.171, issue.1, pp.147-163, 2013.
DOI : 10.1007/s11854-013-0005-2

E. Cateland, Suites digitales et suites k-régulières, 1992.

M. Drmota, C. Mauduit, and J. Rivat, The sum-of-digits function of polynomial sequences, Journal of the London Mathematical Society, vol.84, issue.1, pp.81-102, 2011.
DOI : 10.1112/jlms/jdr003

URL : https://hal.archives-ouvertes.fr/hal-01260110

M. Drmota, C. Mauduit, and J. Rivat, The Thue?Morse sequence along squares is normal, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01272972

A. O. Gelfond, Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arith, vol.13, pp.259-265, 1967.

E. Grant, J. Shallit, and T. Stoll, Bounds for the discrete correlation of infinite sequences on k symbols and generalized Rudin???Shapiro sequences, Acta Arithmetica, vol.140, issue.4, pp.345-368, 2009.
DOI : 10.4064/aa140-4-5

B. Green, On (Not) Computing the M??bius Function Using Bounded Depth Circuits, Combinatorics, Probability and Computing, vol.62, issue.06, pp.942-951, 2012.
DOI : 10.1112/jlms/s2-43.2.193

H. Iwaniec and E. Kowalski, Analytic number theory
DOI : 10.1090/coll/053

URL : https://hal.archives-ouvertes.fr/hal-00180743

G. Kalai, Walsh Fourier Transform of the Möbius function, http://mathoverflow.net/questions/57543/walsh- fourier-transform-of-the-mobius-function, 2011.

G. Kalai, Möbius Randomness of the Rudin?Shapiro Sequence, http://mathoverflow.net/questions/97261/mobius- randomness-of-the-rudin-shapiro-sequence, 2012.

B. Martin, C. Mauduit, and J. Rivat, Théorème des nombres premiers pour les fonctions digitales, Acta Arith, pp.11-45, 2014.

C. Mauduit and J. Rivat, Sur un probl??me de Gelfond??: la somme des chiffres des nombres premiers, Annals of Mathematics, vol.171, issue.3, pp.171-1591, 2010.
DOI : 10.4007/annals.2010.171.1591

C. Mauduit and J. Rivat, Prime numbers along Rudin???Shapiro sequences, Journal of the European Mathematical Society, vol.17, issue.10, pp.2595-2642, 2015.
DOI : 10.4171/JEMS/566

URL : https://hal.archives-ouvertes.fr/hal-01259940

M. Queffelec, Une nouvelle propri??t?? des suites de Rudin-Shapiro, Annales de l???institut Fourier, vol.37, issue.2, pp.115-138, 1987.
DOI : 10.5802/aif.1089

W. Rudin, Some theorems on Fourier coefficients, Proceedings of the American Mathematical Society, vol.10, issue.6, pp.855-859, 1959.
DOI : 10.1090/S0002-9939-1959-0116184-5

H. S. Shapiro, Extremal Problems for Polynomials and Power Series, 1951.

J. Vaaler, Some extremal functions in Fourier analysis, Bulletin of the American Mathematical Society, vol.12, issue.2, pp.183-216, 1985.
DOI : 10.1090/S0273-0979-1985-15349-2