Статті в журналах з теми "Mahler equations"
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Bugeaud, Yann, and Kálmán Győry. "On binomial Thue-Mahler equations." Periodica Mathematica Hungarica 49, no. 2 (December 2004): 25–34. http://dx.doi.org/10.1007/s10998-004-0520-0.
Lalín, Matilde N. "Equations for Mahler measure and isogenies." Journal de Théorie des Nombres de Bordeaux 25, no. 2 (2013): 387–99. http://dx.doi.org/10.5802/jtnb.841.
Dreyfus, Thomas, Charlotte Hardouin, and Julien Roques. "Hypertranscendence of solutions of Mahler equations." Journal of the European Mathematical Society 20, no. 9 (June 29, 2018): 2209–38. http://dx.doi.org/10.4171/jems/810.
Chyzak, Frédéric, Thomas Dreyfus, Philippe Dumas, and Marc Mezzarobba. "Computing solutions of linear Mahler equations." Mathematics of Computation 87, no. 314 (July 2, 2018): 2977–3021. http://dx.doi.org/10.1090/mcom/3359.
Nishioka, Kumiko, and Seiji Nishioka. "Autonomous equations of Mahler type and transcendence." Tsukuba Journal of Mathematics 39, no. 2 (March 2016): 251–57. http://dx.doi.org/10.21099/tkbjm/1461270059.
Roques, Julien. "On the reduction modulo $p$ of Mahler equations." Tohoku Mathematical Journal 69, no. 1 (April 2017): 55–65. http://dx.doi.org/10.2748/tmj/1493172128.
Kim, Dohyeong. "A modular approach to cubic Thue-Mahler equations." Mathematics of Computation 86, no. 305 (September 15, 2016): 1435–71. http://dx.doi.org/10.1090/mcom/3139.
Nishioka, Kumiko, and Seiji Nishioka. "Algebraic theory of difference equations and Mahler functions." Aequationes mathematicae 84, no. 3 (May 11, 2012): 245–59. http://dx.doi.org/10.1007/s00010-012-0132-3.
Bugeaud, Yann, and Kálmán Győry. "Bounds for the solutions of Thue-Mahler equations and norm form equations." Acta Arithmetica 74, no. 3 (1996): 273–92. http://dx.doi.org/10.4064/aa-74-3-273-292.
Lalin, Matilde, and Mathew Rogers. "Functional equations for Mahler measures of genus-one curves." Algebra & Number Theory 1, no. 1 (February 1, 2007): 87–117. http://dx.doi.org/10.2140/ant.2007.1.87.
Smart, N. P. "Thue and Thue-Mahler Equations over Rings of Integers." Journal of the London Mathematical Society 56, no. 3 (December 1997): 455–62. http://dx.doi.org/10.1112/s0024610797005619.
Nishioka, Kumiko, and Thomas T�pfer. "Transcendence measures and nonlinear functional equations of Mahler type." Archiv der Mathematik 57, no. 4 (October 1991): 370–78. http://dx.doi.org/10.1007/bf01198962.
Becker, P. G. "k-Regular Power Series and Mahler-Type Functional Equations." Journal of Number Theory 49, no. 3 (December 1994): 269–86. http://dx.doi.org/10.1006/jnth.1994.1093.
Brindza, B., J. H. Evertse, and K. Györy. "Bounds for the solutions of some diophantine equations in terms of discriminants." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 51, no. 1 (August 1991): 8–26. http://dx.doi.org/10.1017/s1446788700033267.
Amou, Masaaki. "An improvement of a transcendence measure of Galochkin and Mahler's S-numbers." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 52, no. 1 (February 1992): 130–40. http://dx.doi.org/10.1017/s1446788700032912.
Väänänen, Keijo, and Wen Wu. "On linear independence measures of the values of Mahler functions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, no. 6 (June 22, 2018): 1297–311. http://dx.doi.org/10.1017/s0308210518000148.
Töpfer, Thomas. "Zero order estimates for functions satisfying generalized functional equations of Mahler type." Acta Arithmetica 85, no. 1 (1998): 1–12. http://dx.doi.org/10.4064/aa-85-1-1-12.
Greuel, Bernd. "Algebraic independence of the values of Mahler functions satisfying implicit functional equations." Acta Arithmetica 93, no. 1 (2000): 1–20. http://dx.doi.org/10.4064/aa-93-1-1-20.
Töpfer, Th. "Simultaneous approximation measures for functions satisfying generalized functional equations of mahler type." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 66, no. 1 (December 1996): 177–201. http://dx.doi.org/10.1007/bf02940803.
BUNDSCHUH, PETER, and KEIJO VÄÄNÄNEN. "ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES." Journal of the Australian Mathematical Society 98, no. 3 (November 11, 2014): 289–310. http://dx.doi.org/10.1017/s1446788714000524.
BUGEAUD, YANN. "Effective irrationality measures for real and p-adic roots of rational numbers close to 1, with an application to parametric families of Thue–Mahler equations." Mathematical Proceedings of the Cambridge Philosophical Society 164, no. 1 (September 27, 2016): 99–108. http://dx.doi.org/10.1017/s0305004116000864.
Toledano, R. "The Mahler Measure of Linear Forms as Special Values of Solutions of Algebraic Differential Equations." Rocky Mountain Journal of Mathematics 39, no. 4 (August 2009): 1323–38. http://dx.doi.org/10.1216/rmj-2009-39-4-1323.
EVERTSE, JAN–HENDRIK, and KÁLMÁN GYŐRY. "Effective results for unit equations over finitely generated integral domains." Mathematical Proceedings of the Cambridge Philosophical Society 154, no. 2 (November 23, 2012): 351–80. http://dx.doi.org/10.1017/s0305004112000606.
ZORIN, EVGENIY. "ZERO ORDER ESTIMATES FOR ANALYTIC FUNCTIONS." International Journal of Number Theory 09, no. 02 (December 5, 2012): 333–92. http://dx.doi.org/10.1142/s1793042112501370.
Goto, Akinari, and Taka-aki Tanaka. "Algebraic independence of the values of functions satisfying Mahler type functional equations under the transformation represented by a power relatively prime to the characteristic of the base field." Journal of Number Theory 184 (March 2018): 384–410. http://dx.doi.org/10.1016/j.jnt.2017.08.026.
Ghioca, Dragos, and Junyi Xie. "The Dynamical Mordell–Lang Conjecture for Skew-Linear Self-Maps. Appendix by Michael Wibmer." International Mathematics Research Notices 2020, no. 21 (September 7, 2018): 7433–53. http://dx.doi.org/10.1093/imrn/rny211.
Maher, T., A. Bourdin, E. Volkmann, S. Vettori, J. H. W. Distler, M. Alves, C. Stock, and O. Distler. "POS0385 “EFFECTIVE LUNG AGE” IN SUBJECTS WITH SYSTEMIC SCLEROSIS-ASSOCIATED INTERSTITIAL LUNG DISEASE (SSc-ILD) IN THE SENSCIS TRIAL." Annals of the Rheumatic Diseases 81, Suppl 1 (May 23, 2022): 447.1–447. http://dx.doi.org/10.1136/annrheumdis-2022-eular.746.
Maher, T., A. Bourdin, E. Volkmann, S. Vettori, J. H. W. Distler, M. Alves, C. Stock, and O. Distler. "POS0835 DECLINE IN FORCED VITAL CAPACITY (FVC) IN SUBJECTS WITH SYSTEMIC SCLEROSIS-ASSOCIATED INTERSTITIAL LUNG DISEASE (SSC-ILD) IN THE SENSCIS TRIAL VERSUS HYPOTHETICAL REFERENCE SUBJECTS WITHOUT LUNG DISEASE." Annals of the Rheumatic Diseases 80, Suppl 1 (May 19, 2021): 671–72. http://dx.doi.org/10.1136/annrheumdis-2021-eular.897.
BUGEAUD, YANN, CLAUDE LEVESQUE, and MICHEL WALDSCHMIDT. "Equations de Fermat--Pell--Mahler simultanees." Publicationes Mathematicae Debrecen, December 1, 2011, 357–66. http://dx.doi.org/10.5486/pmd.2011.5192.
"Thue-Mahler equations with a small number of solutions." Journal für die reine und angewandte Mathematik (Crelles Journal) 1989, no. 399 (August 1, 1989): 60–80. http://dx.doi.org/10.1515/crll.1989.399.60.
Roques, Julien. "On the Local Structure of Mahler Systems." International Mathematics Research Notices, January 18, 2020. http://dx.doi.org/10.1093/imrn/rnz349.
"Transcendence of the values of functions satisfying generalized Mahler type functional equations." Journal für die reine und angewandte Mathematik (Crelles Journal) 1993, no. 440 (July 1, 1993): 111–28. http://dx.doi.org/10.1515/crll.1993.440.111.