$U$-NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS. Issue 2 (29th April 2020)

• Record Type: Journal Article
• Authors: KEKEÇ, GÜLCAN
• Is Part Of: Bulletin of the Australian Mathematical Society. Volume 101:Issue 2(2020)
• Page Start: 218
• Page End: 225
• Publication Date: 2020-04-29
• Subjects: 11J61, -- 11J82; Bundschuh's classification of transcendental formal power series over finite fields, -- U-number, -- lacunary power series, -- transcendence measure; Mathematics -- Societies, etc; Mathematics -- Periodicals; 510.5
• DOI: 10.1017/S0004972719000832
• Languages: English
• ISSNs: 0004-9727

Abstract

Abstract : In the field $\mathbb{K}$ of formal power series over a finite field $K$, we consider some lacunary power series with algebraic coefficients in a finite extension of $K(x)$ . We show that the values of these series at nonzero algebraic arguments in $\mathbb{K}$ are $U$ -numbers.