Gülcan Kekeç: $U$-numbers in fields of positive characteristic, 429-439

Abstract:

We extend a previous result of Kekeç and prove that under certain conditions rational combinations with algebraic formal power series coefficients of a $U_{1}$-number are $U_{m}$-numbers in the field of formal power series over a finite field.

Key Words: Mahler's classification of transcendental formal power series over a finite field, $U$-number, transcendence measure.

2020 Mathematics Subject Classification: Primary 11J61; Secondary 11J82.

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