Aloui, Karam; Mauduit, Christian; Mkaouar, Mohamed On the correlation of the sum of digits along prime numbers. (English) Zbl 1490.11012 Acta Arith. 199, No. 3, 275-301 (2021). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11A63 11A07 11A41 11L07 11L20 11B50 11L03 11N13 PDFBibTeX XMLCite \textit{K. Aloui} et al., Acta Arith. 199, No. 3, 275--301 (2021; Zbl 1490.11012) Full Text: DOI
Liu, H.; Mauduit, C. On the distribution of the truncated sum-of-digits function of polynomial sequences in residue classes. (English) Zbl 1488.11019 Acta Math. Hung. 164, No. 2, 360-376 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11A63 11N60 11L03 11L40 PDFBibTeX XMLCite \textit{H. Liu} and \textit{C. Mauduit}, Acta Math. Hung. 164, No. 2, 360--376 (2021; Zbl 1488.11019) Full Text: DOI
Drmota, Michael; Mauduit, Christian; Rivat, Joël Prime numbers in two bases. (English) Zbl 1484.11016 Duke Math. J. 169, No. 10, 1809-1876 (2020). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11K16 11N60 11L20 11N05 11L03 PDFBibTeX XMLCite \textit{M. Drmota} et al., Duke Math. J. 169, No. 10, 1809--1876 (2020; Zbl 1484.11016) Full Text: DOI Euclid
Mauduit, Christian; Montgomery, Hugh L.; Rivat, J. Moments of a Thue-Morse generating function. (English) Zbl 1448.11059 J. Anal. Math. 135, No. 2, 713-724 (2018). Reviewer: Amin Witno (Amman) MSC: 11B83 PDFBibTeX XMLCite \textit{C. Mauduit} et al., J. Anal. Math. 135, No. 2, 713--724 (2018; Zbl 1448.11059) Full Text: DOI
Aloui, K.; Mauduit, Ch.; Mkaouar, M. Sum of digits and distribution in congruence classes for palindromes with missing digits. (Somme des chiffres et répartition dans les classes de congruence pour les palindromes ellipséphiques.) (French. English summary) Zbl 1399.11024 Acta Math. Hung. 151, No. 2, 409-455 (2017). MSC: 11A63 11B50 11B85 11L15 PDFBibTeX XMLCite \textit{K. Aloui} et al., Acta Math. Hung. 151, No. 2, 409--455 (2017; Zbl 1399.11024) Full Text: DOI
Aloui, Karam; Mauduit, Christian; Mkaouar, Mohamed Simultaneous distribution of \(S(n)\) and \(S(n+1)\) in arithmetic progressions. (Répartition simultanée de \(S(n)\) et \(S(n+1)\) dans les progressions arithmétiques.) (French. English summary) Zbl 1412.11010 Ramanujan J. 42, No. 1, 173-197 (2017). MSC: 11A63 11L03 11N60 PDFBibTeX XMLCite \textit{K. Aloui} et al., Ramanujan J. 42, No. 1, 173--197 (2017; Zbl 1412.11010) Full Text: DOI
Mauduit, Christian; Moreira, Carlos Gustavo Moser-Newman phenomenon for square-free numbers. (Phénomène de Moser-Newman pour les nombres sans facteur carré.) (French. English summary) Zbl 1352.11015 Bull. Soc. Math. Fr. 143, No. 3, 599-617 (2015). Reviewer: Wolfgang Steiner (Sydney) MSC: 11A63 11B85 11L03 11N25 PDFBibTeX XMLCite \textit{C. Mauduit} and \textit{C. G. Moreira}, Bull. Soc. Math. Fr. 143, No. 3, 599--617 (2015; Zbl 1352.11015) Full Text: DOI Link
Mauduit, Christian; Rivat, Joël Prime numbers along Rudin-Shapiro sequences. (English) Zbl 1398.11121 J. Eur. Math. Soc. (JEMS) 17, No. 10, 2595-2642 (2015). MSC: 11N05 11A63 11L20 11N60 PDFBibTeX XMLCite \textit{C. Mauduit} and \textit{J. Rivat}, J. Eur. Math. Soc. (JEMS) 17, No. 10, 2595--2642 (2015; Zbl 1398.11121) Full Text: DOI
Drmota, Michael; Mauduit, Christian Weyl sums over integers with affine digit restrictions. (English) Zbl 1210.11015 J. Number Theory 130, No. 11, 2404-2427 (2010). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11A63 11K06 05A15 05A16 PDFBibTeX XMLCite \textit{M. Drmota} and \textit{C. Mauduit}, J. Number Theory 130, No. 11, 2404--2427 (2010; Zbl 1210.11015) Full Text: DOI
Mauduit, Christian; Rivat, Joël On a problem of Gelfond: the sum of digits of prime numbers. (Sur un problème de Gelfond: la somme des chiffres des nombres premiers.) (English) Zbl 1213.11025 Ann. Math. (2) 171, No. 3, 1591-1646 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11A63 11A41 11N37 PDFBibTeX XMLCite \textit{C. Mauduit} and \textit{J. Rivat}, Ann. Math. (2) 171, No. 3, 1591--1646 (2010; Zbl 1213.11025) Full Text: DOI Link
Mauduit, Christian; Pomerance, Carl; Sárközy, András On the distribution in residue classes of integers with a fixed sum of digits. (English) Zbl 1155.11345 Ramanujan J. 9, No. 1-2, 45-62 (2005). MSC: 11N64 11A63 PDFBibTeX XMLCite \textit{C. Mauduit} et al., Ramanujan J. 9, No. 1--2, 45--62 (2005; Zbl 1155.11345) Full Text: DOI
Erdős, Paul; Mauduit, Christian; Sárközy, András On arithmetic properties of integers with missing digits. II: Prime factors. (English) Zbl 0945.11006 Discrete Math. 200, No. 1-3, 149-164 (1999). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11A63 11N69 11N25 PDFBibTeX XMLCite \textit{P. Erdős} et al., Discrete Math. 200, No. 1--3, 149--164 (1999; Zbl 0945.11006) Full Text: DOI
Mauduit, Christian; Sárközy, András On finite pseudorandom binary sequences. II: The Champernowne, Rudin-Shapiro, and Thue-Morse sequences, a further construction. (English) Zbl 0916.11047 J. Number Theory 73, No. 2, 256-276 (1998). Reviewer: R.F.Tichy (Graz) MSC: 11K45 11B83 PDFBibTeX XMLCite \textit{C. Mauduit} and \textit{A. Sárközy}, J. Number Theory 73, No. 2, 256--276 (1998; Zbl 0916.11047) Full Text: DOI
Erdős, Paul; Mauduit, Christian; Sárközy, András On arithmetic properties of integers with missing digits. I: Distribution in residue classes. (English) Zbl 0923.11024 J. Number Theory 70, No. 2, 99-120 (1998). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11A63 11N69 11N36 PDFBibTeX XMLCite \textit{P. Erdős} et al., J. Number Theory 70, No. 2, 99--120 (1998; Zbl 0923.11024) Full Text: DOI
Fouvry, E.; Mauduit, C. Sums of digits and almost primes. (Sommes des chiffres et nombres presque premiers.) (French) Zbl 0858.11050 Math. Ann. 305, No. 3, 571-599 (1996). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11N36 11B85 11A41 11A63 PDFBibTeX XMLCite \textit{E. Fouvry} and \textit{C. Mauduit}, Math. Ann. 305, No. 3, 571--599 (1996; Zbl 0858.11050) Full Text: DOI EuDML
Lesigne, Emmanuel; Mauduit, Christian Ergodic properties of \(q\)-multiplicative sequences. (Propriétés ergodiques des suites \(q\)-multiplicatives.) (French) Zbl 0853.11064 Compos. Math. 100, No. 2, 131-169 (1996). Reviewer: V.Berthé (Marseille) MSC: 11K31 28D05 PDFBibTeX XMLCite \textit{E. Lesigne} and \textit{C. Mauduit}, Compos. Math. 100, No. 2, 131--169 (1996; Zbl 0853.11064) Full Text: Numdam EuDML
Lesigne, E.; Mauduit, C.; Mosse, B. The egodic theorem along a \(q\)-multiplicative sequence. (Le théorème ergodique le long d’une suite \(q\)-multiplicative.) (French) Zbl 0818.28006 Compos. Math. 93, No. 1, 49-79 (1994). Reviewer: J.-P.Allouche (Marseille) MSC: 28D05 11K70 11B83 PDFBibTeX XMLCite \textit{E. Lesigne} et al., Compos. Math. 93, No. 1, 49--79 (1994; Zbl 0818.28006) Full Text: Numdam EuDML