Algebraic independence of the values of certain gap power series in non-Archimedean valued fields
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Publication:1311031
DOI10.1007/BF03322337zbMath0798.11030MaRDI QIDQ1311031
Publication date: 23 January 1994
Published in: Results in Mathematics (Search for Journal in Brave)
transcendencealgebraic independencenon-Archimedean valued fieldsvalues of gap power series at algebraic points
Transcendence (general theory) (11J81) Irrationality; linear independence over a field (11J72) Approximation in non-Archimedean valuations (11J61)
Related Items
ON TRANSCENDENTAL CONTINUED FRACTIONS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS, On Diophantine exponents for Laurent series over a finite field, A transcendence theorem in finite characteristic., The existence of $T$-numbers in positive characteristic
Cites Work
- A criterion for algebraic independence with some applications
- Arithmetical properties of gap series with algebraic coefficients
- Arithmetic properties of lacunary power series with integral coefficients
- ESTIMATE FOR A LINEAR FORM OF LOGARITHMS OF ALGEBRAIC NUMBERS
- On the transcendence of certain power series of algebraic numbers
