## Found 112 Documents (Results 1–100)

100
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### On the nature of four models of symmetric walks avoiding a quadrant. (English)Zbl 1472.05006

MSC:  05A15 30D05 39A06
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### Difference Galois theory for the “applied” mathematician. (English)Zbl 1473.12008

Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer. Lect. Notes Math. 2275, 29-59 (2021).
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### Difference Galois groups under specialization. (English)Zbl 1477.12003

MSC:  12H10 13B05
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### Diophantine statements over residue fields: Galois stratification and uniformity. (English)Zbl 1469.11210

Davis, James A. (ed.), Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3–7, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 103-132 (2020).
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### Frobenius difference equations and difference Galois groups. (English)Zbl 1440.11098

Böckle, Gebhard (ed.) et al., $$t$$-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 261-295 (2020).
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### The alternating BWT: an algorithmic perspective. (English)Zbl 1435.68087

MSC:  68P30 68R15 68W32
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### Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. (English)Zbl 1468.12004

Actes de la conférence «Analogies between number field and function field : algebraic and analytic approaches ». Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2019, Part 1, 41-80 (2019).
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### Action of an endomorphism on (the solutions of) a linear differential equation. (English)Zbl 1452.12004

Actes de la conférence «Analogies between number field and function field : algebraic and analytic approaches ». Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2019, Part 1, 21-39 (2019).
MSC:  12H10 12H20 34M15

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### On the algebraic relations between Mahler functions. (English)Zbl 1376.39002

MSC:  39A06 12H10
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### Summation theory. II: Characterizations of $$R {\Pi}{\Sigma}^{\ast}$$-extensions and algorithmic aspects. (English)Zbl 1403.12002

MSC:  12H10 68W30
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### An introduction to difference Galois theory. (English)Zbl 1400.12005

Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Lecture notes of the Abecederian School of SIDE 12, Montreal 2016. Based on the presentations at the summer school, Université de Montréal, Montréal, Canada, June 27 – July 1, 2016 and an international meeting, Sainte-Adèle, Québec, Canada, July 3–9, 2016. Cham: Springer (ISBN 978-3-319-56665-8/hbk; 978-3-319-56666-5/ebook). CRM Series in Mathematical Physics, 359-390 (2017).
MSC:  12H10
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### $$q$$-Borel-Laplace summation for $$q$$-difference equations with two slopes. (English)Zbl 1364.39008

MSC:  39A13 39A45
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### Analytic study of $$q$$-difference equations. (English)Zbl 1347.39012

Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 103-171 (2016).
MSC:  39A13 11R32

### Galoisian approach to differential transcendence. (English)Zbl 1347.39001

Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 43-102 (2016).
MSC:  39A06 12H05 11R32

### Algebraic and algorithmic aspects of linear difference equations. (English)Zbl 1347.39002

Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 1-41 (2016).
MSC:  39A06 12H10 11R32

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### Generalized linear cellular automata in groups and difference Galois theory. (English)Zbl 1379.37028

MSC:  37B15 12H10 39A05
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### The $$q$$-analogue of the wild fundamental group and the inverse problem of the Galois theory of $$q$$-difference equations. (Le $$q$$-analogue du groupe fondamental sauvage et le problème inverse de la théorie de Galois aux $$q$$-différences.) (English. French summary)Zbl 1386.39018

MSC:  39A13 34M50
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### Galois groups of difference equations of order two on elliptic curves. (English)Zbl 1311.39002

MSC:  39A06 12H10 39A12
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### Poisson geometry of difference Lax operators and difference Galois theory. (English)Zbl 1322.37035

Bastos, M. Amélia (ed.) et al., Operator theory, operator algebras and applications. Selected papers based on the presentations at the workshop WOAT 2012, Lisbon, Portugal, September 11–14, 2012. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0815-6/hbk; 978-3-0348-0816-3/ebook). Operator Theory: Advances and Applications 242, 341-362 (2014).
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### Galois theory of difference equations with periodic parameters. (English)Zbl 1338.12007

MSC:  12H10 39A13
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### Difference Galois theory of linear differential equations. (English)Zbl 1328.12013

MSC:  12H10 34M15
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### Difference integrability conditions for parameterized linear difference and differential equations. (English)Zbl 1315.12004

MSC:  12H05 12H10 39A13
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### Integrability conditions for parameterized linear difference equations. (English)Zbl 1360.12003

Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 45-52 (2013).
MSC:  12H05 12H10 39A13
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### Geometric and differential Galois theories. Proceedings of the meeting at CIRM, Luminy, France, March 29–April 2, 2010. (English)Zbl 1273.12001

Séminaires et Congrès 27. Paris: Société Mathématique de France (ISBN 978-2-85629-364-5/pbk). xviii, 247 p. (2013).
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### Existence of $$\partial$$-parameterized Picard-Vessiot extensions over fields with algebraically closed constants. (English)Zbl 1280.12003

MSC:  12H05 12H10
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### On classical irregular $$q$$-difference equations. (English)Zbl 1259.39008

MSC:  39A13 33D15
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### Descent for differential Galois theory of difference equations: confluence and $$q$$-dependence. (English)Zbl 1258.12004

MSC:  12H10 39A13
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### Galoisian obstruction to the integrability of general dynamical systems. (English)Zbl 1246.32017

J. Differ. Equations 252, No. 10, 5518-5534 (2012); corrigendum ibid. 262, No. 3, 1253-1256 (2017).
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### On the Galois groups of families of regular singular difference systems. (English. French summary)Zbl 1317.39024

Di Vizio, Lucia (ed.) et al., Arithmetic and Galois theories of differential equations. Proceedings of the summer school, ‘Galoisian and arithmetic theory of differential equations’, CIRM, Luminy, France, September 21–25, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-331-7/pbk). Séminaires et Congrès 23, 307-323 (2011).
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### Picard-Vessiot theory in general Galois theory. (English)Zbl 1252.12007

Crespo, Teresa (ed.) et al., Algebraic methods in dynamical systems. Proceedings of the conference, Będlewo, Poland, May 16–22, 2010. Dedicated to Michael Singer on his 60th birthday. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-13-3/pbk). Banach Center Publications 94, 263-293 (2011).
MSC:  12H05 12H10
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### The Stokes phenomenon for linear $$q$$-difference equations. (English)Zbl 1229.39015

Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 123-139 (2011).
MSC:  39A13 34M40

### Hypertranscendency of first order Mahler functions. (Hypertranscendance de fonctions de Mahler du premier ordre.) (French. English summary)Zbl 1268.12004

MSC:  12H10 34M15 39A05
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### On $$\sigma \delta$$-Picard-Vessiot extensions. (English)Zbl 1272.12018

MSC:  12H05 12H10 12L12
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### Curvatures, generic Galois groups and $$D$$-groupoid of a $$q$$-difference system. (Courbures, groupes de Galois génériques et $$D$$-groupoïde de Galois d’un système aux $$q$$-différences.) (French)Zbl 1245.12006

MSC:  12F10 12H10
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MSC:  12H05
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### Determinants of elliptic hypergeometric integrals. (English. Russian original)Zbl 1193.33201

Funct. Anal. Appl. 43, No. 4, 297-311 (2009); translation from Funkts. Anal. Prilozh. 43, No. 4, 67-86 (2009).
MSC:  33C75
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### Optimal control problem for processes with multi-parametric binary linear difference equation system. (English)Zbl 1179.49022

MSC:  49K10 93C10 49N05
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### A new construction of perfect nonlinear functions using Galois rings. (English)Zbl 1197.05015

MSC:  05B10 11T71
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### Galois groups of the basic hypergeometric equations. (English)Zbl 1153.39026

MSC:  39A13 33D15
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### Difference algebra. (English)Zbl 1209.12004

Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 241-334 (2006).
MSC:  12H10 12-02
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### On the solvability and unsolvability of equations in explicit form. (English. Russian original)Zbl 1069.34133

Russ. Math. Surv. 59, No. 4, 661-736 (2004); translation from Usp. Mat. Nauk 59, No. 4, 69-146 (2004).
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### Invariants and differential Galois groups in degree four. (English)Zbl 1030.12003

Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28-June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 58, 79-87 (2002).
MSC:  12H99 12F10
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### Galois theory of $$q$$-difference equations: the “analytical” approach. (English)Zbl 1036.12007

Braaksma, B. L. J. (ed.) et al., Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28–30, 2001. Singapore: World Scientific, 277-292 (2002).
MSC:  39A13 34M55 12H10

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### Constructions of nested partial difference sets with Galois rings. (English)Zbl 1012.05035

MSC:  05B10 13B05
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### Computer algebra algorithms for linear ordinary differential and difference equations. (English)Zbl 1021.12006

Casacuberta, Carles (ed.) et al., 3rd European congress of mathematics (ECM), Barcelona, Spain, July 10-14, 2000. Volume II. Basel: Birkhäuser. Prog. Math. 202, 105-119 (2001).
MSC:  12Y05 12H20 68W30 34-04 34A30 39A05

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### Explicit factorizations of $$g(y)-h(z)$$. (Factorisations explicites de $$g(y)-h(z)$$.) (English)Zbl 0923.12004

MSC:  12F10 12Y05 12D05 14H30 05B10 12-04
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### An algorithm determining the difference Galois group of second order linear difference equations. (English)Zbl 0908.68080

MSC:  12H10 12Y05 68W30
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### Galois theory of difference equations. (English)Zbl 0930.12006

Lecture Notes in Mathematics. 1666. Berlin: Springer. vii, 180 p. (1997).
MSC:  12H10 12-02 39A10
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### An algorithm for computing a standard form for second-order linear $$q$$-difference equations. (English)Zbl 0877.12004

MSC:  12H10 34A05 68W30
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### Applied abstract algebra. (English)Zbl 0891.00002

Delhi: University of Delhi, Centre for Professional Development in Higher Education, 105 p. (1996).

### Galois theory of difference equations. A survey. (English)Zbl 0860.12004

Braaksma, B. L. J. (ed.) et al., The Stokes phenomenon and Hilbert’s 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific, 237-259 (1996).
MSC:  12H10 39A10 12-02

### Galois groups and connection matrices for $$q$$-difference equations. (English)Zbl 0844.12004

MSC:  12H10 39A10
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