R202, Astronomy-Mathematics Building, NTU

(台灣大學天文數學館 202室)

Postponed--An Overview of Some Progress on the Arithmetic of Linear Recurrences and the Complex Analogues

Ji Guo (National Tsing Hua University)

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This seminar is postponed.

Abstract:

We will discuss some known problems concerning the arithmetic of linear recurrent sequences (e.g. defined over integers). First, given two linear recurrences defined over a number field, one can ask whether the quotient of them is also a linear recurrence. We are also interested in the gcd of two linear recurrences and the d-th root of a linear recurrence. In this talk, our goal is to give an overview of the developments of linear recurrences along the work of van der Poorten, Corvaja-Zannier and Levin as well as the corresponding problems for complex entire functions.