Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_2021_85_4_a1, author = {D. R. Gaifulin and I. D. Kan}, title = {The derivative of the {Minkowski} function}, journal = {Izvestiya. Mathematics }, pages = {621--665}, publisher = {mathdoc}, volume = {85}, number = {4}, year = {2021}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a1/} }
D. R. Gaifulin; I. D. Kan. The derivative of the Minkowski function. Izvestiya. Mathematics , Tome 85 (2021) no. 4, pp. 621-665. http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a1/
[1] H. Minkowski, Gesammelte Abhandlungen, v. 2, B. G. Teubner, Leipzig–Berlin, 1911, iv+466 pp. | Zbl
[2] R. Salem, “On some singular monotonic functions which are strictly increasing”, Trans. Amer. Math. Soc., 53:3 (1943), 427–439 | DOI | MR | Zbl
[3] J. R. Kinney, “Note on a singular function of Minkowski”, Proc. Amer. Math. Soc., 11:5 (1960), 788–794 | DOI | MR | Zbl
[4] P. Viader, J. Paradis, L. Bibiloni, “A new light on Minkowski's $?(x)$ function”, J. Number Theory, 73:2 (1998), 212–227 | DOI | MR | Zbl
[5] J. Paradis, P. Viader, L. Bibiloni, “The derivative of Minkowski's $?(x)$ function”, J. Math. Anal. Appl., 253:1 (2001), 107–125 | DOI | MR | Zbl
[6] A. A. Dushistova, N. G. Moshchevitin, “On the derivative of the Minkowski question mark function $?(x)$”, J. Math. Sci. (N.Y.), 182:4 (2012), 463–471 | DOI | MR | Zbl
[7] A. A. Dushistova, I. D. Kan, N. G. Moshchevitin, “Differentiability of the Minkowski question mark function”, J. Math. Anal. Appl., 401:2 (2013), 774–794 | DOI | MR | Zbl
[8] I. D. Kan, “Differentiability of the Minkowski function $?(x)$. II”, Izv. Math., 83:5 (2019), 957–989 | DOI | DOI | MR | Zbl
[9] I. D. Kan, “Differentiability of the Minkowski $?(x)$-function. III”, Sb. Math., 210:8 (2019), 1148–1178 | DOI | DOI | MR | Zbl
[10] A. Ya. Khinchin, Continued fractions, The Univ. of Chicago Press, Chicago, IL–London, 1964, xi+95 pp. | MR | MR | Zbl | Zbl
[11] R. L. Graham, D. E. Knuth, O. Patashnik, Concrete mathematics. A foundation for computer science, 2nd ed., Addison-Wesley Publ. Co., Reading, MA, 1994, xiv+657 pp. | MR | Zbl
[12] I. D. Kan, “Methods for estimating continuants”, J. Math. Sci. (N.Y.), 182:4 (2012), 508–517 | DOI | MR | Zbl
[13] D. R. Gayfulin, “Derivatives of two functions belonging to the Denjoy–Tichy–Uits family”, St. Petersburg Math. J., 27:1 (2016), 51–85 | DOI | MR | Zbl
[14] T. S. Motzkin, E. G. Straus, “Some combinatorial extremum problems”, Proc. Amer. Math. Soc., 7:6 (1956), 1014–1021 | DOI | MR | Zbl