On the algebraic relations between Mahler functions
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Publication:4588217
DOI10.1090/tran/6945zbMath1376.39002OpenAlexW2340969078MaRDI QIDQ4588217
Publication date: 1 November 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/4d12cc42998fe2c40fe68c2c46322c9a3a4ef8b0
Related Items (12)
Computing solutions of linear Mahler equations ⋮ Strongly étale difference algebras and Babbitt's decomposition ⋮ An algorithm to recognize regular singular Mahler systems ⋮ On the computation of the Galois group of linear difference equations ⋮ Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation ⋮ Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions ⋮ Mahler's method ⋮ Functional relations for solutions of \(q\)-difference equations ⋮ Becker’s conjecture on Mahler functions ⋮ Consistent systems of linear differential and difference equations ⋮ A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations ⋮ Hypertranscendence and linear difference equations
Cites Work
- Algebraic subgroups of GL\(_2(\mathbb C)\)
- On the calculation of some differential Galois groups
- An algorithm determining the difference Galois group of second order linear difference equations
- \(k\)-regular power series and Mahler-type functional equations
- An algorithm for computing a standard form for second-order linear \(q\)-difference equations
- Galois theory of difference equations
- Mahler functions and transcendence
- Algebraic theory of difference equations and Mahler functions
- An introduction to Mahler's method for transcendence and algebraic independence
- On quasi algebraic closure
- Groupes de Galois et nombres automatiques
- Exponential Sums and Differential Equations. (AM-124)
- Rational and algebraic series in combinatorial enumeration
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