Continued fraction for the exponential for \(\mathbb{F}_ q[T]\)
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Publication:1196903
DOI10.1016/0022-314X(92)90115-6zbMath0754.11019MaRDI QIDQ1196903
Publication date: 16 January 1993
Published in: Journal of Number Theory (Search for Journal in Brave)
Arithmetic theory of algebraic function fields (11R58) Continued fractions and generalizations (11J70) Drinfel'd modules; higher-dimensional motives, etc. (11G09)
Related Items (5)
Continued fractions for finite sums ⋮ Patterns of continued fractions for the analogues of \(e\) and related numbers in the function field case ⋮ Diophantine approximation exponents and continued fractions for algebraic power series ⋮ Irrationality of values associated with Carlitz's exponential ⋮ Higher diophantine approximation exponents and continued fraction symmetries for function fields
Cites Work
- Gamma functions for function fields and Drinfeld modules
- On regularity of small primes in function fields
- The arithmetic of function fields. II: The 'cyclotomic' theory
- Simple continued fractions for some irrational numbers. II
- Certain quantities transcendental over \(\text{GF}(p^n,x)\)
- Transcendence properties of the Carlitz \(\psi\) functions
- Explicit Class Field Theory for Rational Function Fields
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