Congruence properties of coefficients of certain algebraic power series

Matthijs Coster

Compositio Mathematica (1988)

  • Volume: 68, Issue: 1, page 41-57
  • ISSN: 0010-437X

How to cite

top

Coster, Matthijs. "Congruence properties of coefficients of certain algebraic power series." Compositio Mathematica 68.1 (1988): 41-57. <http://eudml.org/doc/89930>.

@article{Coster1988,
author = {Coster, Matthijs},
journal = {Compositio Mathematica},
keywords = {power series; coefficients; Taylor expansion; congruences; lower bound; number of primes},
language = {eng},
number = {1},
pages = {41-57},
publisher = {Kluwer Academic Publishers},
title = {Congruence properties of coefficients of certain algebraic power series},
url = {http://eudml.org/doc/89930},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Coster, Matthijs
TI - Congruence properties of coefficients of certain algebraic power series
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 68
IS - 1
SP - 41
EP - 57
LA - eng
KW - power series; coefficients; Taylor expansion; congruences; lower bound; number of primes
UR - http://eudml.org/doc/89930
ER -

References

top
  1. 1 G. Christol, T. Kamae, M. Mendès-France and G. Rauzy: Suites algébriques, automates et substitutions. Bull. Soc. Math. France108 (1980) 401-419. Zbl0472.10035MR614317
  2. 2 J. Denef and L. Lipshitz: Algebraic power series and diagonals. J. Number Theory26 (1987) 46-67. Zbl0609.12020MR883533
  3. 3 M. Mendès-France and A.J. van der Poorten: Automata and the arithmetic of formal power series. Publ. Math.Orsay, 86-1, Univ. Paris XI, Orsay (1986). Zbl0599.12020
  4. 4 S. Chowla, J. Cowles and M. Cowles: Congruence properties of Apéry numbers, J. Number Theory12 (1980) 188-190. Zbl0428.10008MR578810
  5. 5 I. Gessel: Some congruences for Apéry numbers. J. Number Theory14 (1982) 362-368. Zbl0482.10003MR660381

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.