Diophantine perspectives to the exponential function and Euler’s factorial series

Abstract The focus of this thesis is on two functions: the exponential function and Euler’s factorial series. By constructing explicit Padé approximations, we are able to improve lower bounds for linear forms in the values of these functions. In particular, the dependence on the height of the coeff...

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Bibliographic Details
Main Author: Seppälä, L. (Louna)
Other Authors: Matala-aho, T. (Tapani)
Format: Doctoral Thesis
Language:English
Published: University of Oulu 2019
Subjects:
Online Access:http://urn.fi/urn:isbn:9789529418237
http://nbn-resolving.de/urn:isbn:9789529418237