On equivalent power series
β Scribed by J. Clunie
- Publisher
- Akadmiai Kiad
- Year
- 1967
- Tongue
- English
- Weight
- 216 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study D0L power series. We show how elementary morphisms introduced by Ehrenfeucht and Rozenberg can be used in connection with power series, characterize the sequences of rational numbers and integers which can appear as coe cients in D0L power series and establish various decidability results.
We show that equivalence is decidable for D0L systems with finite axiom sets. We discuss also DF0L power series and solve their equivalence problem over computable fields.
We give a new simple proof to Thara's conjecture on the coeflicients of his power series interpolating Jacobi sums as an application of the method of proof of our congruence for the Gauss sums previously obtained by the author. More precisely, we will determine the coefficients \(\left(\bmod l^{n}\r