English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The present paper essentially contains two results that generalize andimprove some of the constructions of [arXiv:0801.1493]. First of all, in thecase of one derivation, we prove that the parameterized Galois theory fordifference equations constructed in [arXiv:0801.1493] can be descended from adifferentially closed to an algebraically closed field. In the second part ofthe paper, we show that the theory can be applied to deformations of q-series,to study the differential dependency with respect to x\frac{d}{dx} andq\frac{d}{dq}. We show that the parameterized difference Galois group (withrespect to a convenient derivation defined in the text) of the Jacobi Thetafunction can be considered as the Galoisian counterpart of the heat equation.

Descent for differential Galois theory of difference equations. Confluence and q-dependency