Diagonals and algebraicity modulo p: a sharper degree bound,
with A. Bostan and X. Caruso.
Ann. Sci. Éc. Norm. Supér., to appear, revised version, 18 pp.
Mahler’s method in several variables and finite automata,
with C. Faverjon.
Annals of Math., to appear, arXiv:2012.08283 [math.NT], revised version 2025, 68 pp.
Addendum to: Mahler’s method in several variables and finite automata,
with C. Faverjon.
Annals of Math., to appear, arXiv:2407.18578 [math.CO], 7 pp.
Algebraic relations between sine and cosine values,
with E. Delaygue.
Amer. Math. Monthly 132 (2025), 403-413.
Relations algébriques entre valeurs de E-fonctions ou de M-fonctions,
avec C. Faverjon.
C. R. Math. Acad. Sci. Paris 362 (2024), 1215-1241.
Algebraic independence and linear difference equations,
with T. Dreyfus, C. Hardouin, and M. Wiber.
J. Eur. Math. Soc. (JEMS) 26 (2024), 1899-1932.
Cyclotomic valuation of q-Pochhammer, symbols and q-integrality of basic hypergeometric series,
with J. Bell, E. Delaygue, and F. Jouhet.
Acta Arith. 213 (2024), 131-167.
A new proof of Nishioka’s theorem in Mahler’s method,
with C. Faverjon.
C. R. Math. Acad. Sci. Paris 361 (2023), 1011-1028.
A height gap theorem for coefficients of Mahler functions,
with J. Bell and D. Smertnig.
J. Eur. Math. Soc. (JEMS) 25 (2023), 2525-2571.
Bracket words: a generalisation of Sturmian words arising from generalised polynomials,
with J. Konieczny.
Trans. Amer. Math. Soc. 376 (2023), 4979-5044.
(Logatihmic) densities for automatic sequences along prime and squares,
with M. Drmota and C. Müllner.
Trans. Amer. Math. Soc. 375 (2022), 455-499.
Hypertranscendence and linear difference equations,
with T. Dreyfus and C. Hardouin.
J. Amer. Math. Soc. 34 (2021) 475-503.
On the computational complexity of algebraic numbers: the Hartmanis–Stearns problem revisited,
with J. Casssaigne and M. Le Gonidec.
Trans. Amer. Math. Soc. 373 (2020), 3085-3115.
Mahler’s method,
Doc. Math. Extra Volume Mahler Selecta (2019), 95–122.
Algebraic independence of G-functions and congruences “à la Lucas”,
with J. Bell and É. Delaygue.
Ann. Sci. Éc. Norm. Supér. 52 (2019), 515-559.
(long version arXiv:1603.04187[Math:NT])
Exceptional values of E-functions at algebraic points,
with T. Rivoal.
Bull. London Math. Soc. 50 (2018), 697-708.
Méthode de Mahler, transcendance et relations linéaires : aspects effectifs,
avec C. Faverjon.
J. Théor Nombres Bordeaux 30 (2018), 557-573.
Congruences modulo cyclotomic polynomials and algebraic independence for q-series,
with J. Bell, E. Delaygue and F. Jouhet.
Sém. Lothar. Combin., 78B (2017), Art. 54, 12 pp. (Proceedings of FPSAC 2017).
Méthode de Mahler : relations linéaires, transcendance et applications aux nombres automatiques,
avec C. Faverjon.
Proc. London Math. Soc. 115 (2017), 55-90.
A problem about Mahler functions,
with J. Bell.
Ann. Sc. Norm. Super. Pisa 17 (2017), 1301–1355.
Diagonalization and rationalization of algebraic Laurent series,
with J. Bell.
Ann. Sci. Éc. Norm. Supér., 46 (2013), 963–1004.
On vanishing coefficients of algebraic power series over fields of positive characteristic,
with J. Bell.
Invent. Math., 187 (2012), 343–393.
Chiffres non nuls dans le développement en base entière des nombres algébriques irrationnels,
with C. Faverjon.
C. R. Acad. Sci. Paris, 350 (2012), 1–4.
Nombres réels de complexité sous-linéaire : mesures d’irrationalité et de transcendance,
with Y. Bugeaud.
J. Reine Angew. Math., 658 (2011), 65–98.
An analogue of Cobham’s theorem for fractals,
with J. Bell.
Trans. Amer. Math. Soc. 363 (2011), 4421–4442.
Mesures de transcendance et aspects quantitatifs de la méthode de Thue-Siegel-Roth-Schmidt,
avec Y. Bugeaud.
Proc. London Math. Soc. 101 (2010), 1-31.
Rational numbers with purely periodic beta-expansion,
with Ch. Frougny, A. Siegel, and W. Steiner.
Bull. London Math. Soc. 42 (2010), 538-552.
Transcendence measure for continued fractions involving repetitive or symmetric patterns,
with Y. Bugeaud.
J. Eur. Math. Soc. 12 (2010), 883–914.
Non-converging continued fractions related to the Stern diatomic sequence,
Acta Arith.142 (2010), 67–78.
On the expansion of some exponential periods in an integer base,
Math. Ann. 346 (2010), 107–116.
Irrationality measures for some automatic real numbers,
with T. Rivoal.
Math. Proc. Cambridge Phil. Soc. 147 (2009), 659–678.
On the values of a class of analytic functions at algebraic points,
with Y. Bugeaud and F. Luca.
Acta Artih. 135 (2008), 1–18.
On patterns occurring in binary algebraic numbers,
with N. Rampersad.
Proc. Amer. Math. Soc. 136 (2008), 3105–3109.
Function fields in positive characteristic: expansions and Cobham’s theorem,
with J. Bell.
J. Algebra 319 (2008), 2337–2350.
On the Littlewood conjecture in fields of power series,
with Y. Bugeaud.
Probability and Number Theory — Kanazawa 2005, Adv. Stud. Pure Math. Vol. 49 (2007), 1–20.
Dynamics for β-shifts and Diophantine approximation,
with Y. Bugeaud.
Ergod. Th. & Dynam. Sys. 27 (2007), 1695–1711.
Palindromic continued fractions,
with Y. Bugeaud.
Ann. Inst. Fourier 57 (2007), 1557–1574.
On the Maillet-Baker continued fractions,
with Y. Bugeaud.
J. Reine Angew. Math. 606 (2007), 105–121.
Sur l’exposant de densité des nombres algébriques,
Int. Math. Res. Not. Vol. 2007 (2007), article ID 024, 6 pp.
On the complexity of algeraic numbers I. Expansions in integer bases,
with Y. Bugeaud.
Annals of Math. 165 (2007), 547–565.
On the independence of expansions of algebraic numbers in an integer base,
with Y. Bugeaud.
Bull. London Math. Soc. 39 (2007), 283–289.
A Short Proof of the Transcendence of Thue-Morse Continued Fractions,
with Y. Bugeaud.
Amer. Math. Monthly 114 (2007), 536-540.
Continued fractions and transcendental numbers,
with Y. Bugeaud & L. Davison.
Ann. Inst. Fourier 56 (2006), 2093-2113.
Diophantine properties of real numbers generated by finite automata,
with J. Cassaigne.
Compositio Math. 142 (2006), 1351-1372.
Real and p-adic expansions involving symmetric patterns,
with Y. Bugeaud.
Int. Math. Res. Not.Volume 2006 (2006), Article ID 75968, 17 pages.
On the Littlewood conjecture in simultaneous Diophantine approximation,
with Y. Bugeaud.
J. London Math. Soc. 73 (2006), 355–366.
Transcendence criteria for pairs of continued fractions,
with Y. Bugeaud.
Glas. Mat. Ser. III 41 (2006), 223–231.
On the complexity of algebraic numbers, II. continued fractions,
with Y. Bugeaud.
Acta Math. 195 (2005), 1–20.
On powers of words occurring in binary codings of rotations,
Adv. in Appl. Math. 34 (2005), 1–29.
Symbolic discrepancy and self-similar dynamics,
Ann. Inst. Fourier 54 (2004), 2201–2234.
Sur la complexité des nombres algébriques,
with Y. Bugeaud and F. Luca.
C. R. Acad. Sci. Paris 339 (2004), 11–14.
Transcendance “à la Liouville” de certains nombres réels,
C. R. Acad. Sci. Paris 338 (2004), 511–514.
Répartition des suites (nα) et substitutions,
Acta Arith. 112 (2004), 1–22.
On the transcendence of real numbers with a regular expansion,
with J. Cassaigne.
J. Number Theory 301 (2003), 27–37.
Balances for fixed points of primitive substitutions,
Theoret. Comput. Sci. 307 (2003), 47–75.
Linearly recurrent circle map subshifts and an application to Schrödinger operators,
with D. Damanik.
Ann. Henri Poincaré 3 (2002), 1019–1047.
Codages de rotations et phénomènes d’autosimilarité,
J. théor. Nombres Bordeaux 14 (2002), 351–386.