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Galois theories for $q$-difference equat...

Di Vizio, Lucia...

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Galois theories for $q$-difference equations: comparison theorems by Di Vizio, Lucia ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	11-08-2023
Summary	We establish some comparison results among the different parameterized Galois theories for $q$-difference equations, completing the work by CHatzidakis, Hardouin and Singer, that addresses the problem in the case without parameters. Our main result is the link between the abstract parameterized Galois theories, that give information on the differential properties of abstract solutions of $q$-difference equations, and the properties of meromorphic solutions of such equations. Notice that a linear $q$-difference equation with meromorphic coefficients always admits a basis of meromorphic solutions, as proven by Praagman.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1205.1696

Citation

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AMA 11th EditionReferences

Di Vizio, Lucia. Galois theories for $q$-difference equations: comparison theorems. Australian National University. August 11, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/15891

APA 7th EditionReferences

Di Vizio, Lucia. (2023). Galois theories for $q$-difference equations: comparison theorems. Australian National University. https://online.provdatabase.com/cite/15891

Chicago 17th EditionReferences

Di Vizio, Lucia. Galois theories for $q$-difference equations: comparison theorems. Australian National University. 2023. https://online.provdatabase.com/cite/15891

HarvardReferences

Di Vizio, Lucia. (2023). Galois theories for $q$-difference equations: comparison theorems. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/15891. (Accessed 02 October 2025).

Harvard AustraliaReferences

Di Vizio, Lucia, 2023, Galois theories for $q$-difference equations: comparison theorems, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/15891>

MLA 9th EditionWorks Cited

Di Vizio, Lucia. Galois theories for $q$-difference equations: comparison theorems. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/15891.

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