تقرير
Relations alg\'ebriques entre valeurs de E-fonctions ou de M-fonctions
| العنوان: | Relations alg\'ebriques entre valeurs de E-fonctions ou de M-fonctions |
|---|---|
| المؤلفون: | Adamczewski, Boris, Faverjon, Colin |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11J91, 11J81 (Primary) 11B85 (Secondary) |
| الوصف: | We prove that all algebraic relations over $\overline{\mathbb Q}$ between values of Siegel's $E$-functions at some non-zero algebraic point have a functional source, in that they can be obtained as degeneration of $\delta$-algebraic relations over $\overline{\mathbb Q}(z)$ between the functions at stake. We also obtain an analogous result when considering Mahler's $M_q$-functions. In this case, the so-called $\sigma_q$-algebraic relations substitute for the $\delta$-algebraic relations. We also give several consequences of this result concerning some descent phenomena. The point of view we adopt here reveals some striking similarities between the theory of $E$-functions and the one of $M_q$-functions. Comment: in French language |
| نوع الوثيقة: | Working Paper |
| اللغة: | French |
| URL الوصول: | http://arxiv.org/abs/2303.05997 |
| رقم الأكسشن: | edsarx.2303.05997 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |