On the algebraic dependence of holonomic functions
| Autor: | Roques, Julien, Singer, Michael F. |
|---|---|
| Přispěvatelé: | Combinatoire, théorie des nombres (CTN), Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics [Raleigh] (NCSU), North Carolina State University [Raleigh] (NC State), University of North Carolina System (UNC)-University of North Carolina System (UNC), ANR-19-CE40-0018,DeRerumNatura,Décider l'irrationalité et la transcendance(2019) |
| Rok vydání: | 2022 |
| Předmět: |
Mathematics - Number Theory
Mathematics - Classical Analysis and ODEs [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC] Classical Analysis and ODEs (math.CA) FOS: Mathematics Ocean Engineering Number Theory (math.NT) [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] Mathematics - Commutative Algebra Commutative Algebra (math.AC) [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] |
| Zdroj: | Annales Henri Lebesgue. 5:141-177 |
| ISSN: | 2644-9463 |
| DOI: | 10.5802/ahl.120 |
| Popis: | We study the form of possible algebraic relations between functions satisfying linear differential equations. In particular , if f and g satisfy linear differential equations and are algebraically dependent, we give conditions on the differential Galois group associated to f guaranteeing that g is a polynomial in f. We apply this to hypergeometric functions and iterated integrals. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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