Baker-type estimates for linear forms in the values of q-series

Title: Baker-type estimates for linear forms in the values of q-series
Creator: Väänänen, Keijo; Zudilin, W.
Relation: Canadian Mathematical Society Vol. 48, Issue 1, p. 147-160
Publisher Link: http://dx.doi.org/10.4153/CMB-2005-013-5
Publisher: University of Toronto Press
Resource Type: journal article
Date: 2005
Description: We obtain lower estimates for the absolute values of linear forms of the values of generalized Heine series at non-zero points of an imaginary quadratic field I, in particular of the values of q-exponential function. These estimates depend on the individual coefficients, not only on the maximum of their absolute values. The proof uses a variant of classical Siegel’s method applied to a system of functional Poincar´e-type equations and the connection between the solutions of these functional equations and the generalized Heine series.
Subject: measure of linear independence; q-series; Baker-type estimates
Identifier: http://hdl.handle.net/1959.13/928064
Identifier: uon:10330
Identifier: ISSN:0008-4395
Language: eng
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