The number of solutions of linear equations in roots of unity
Acta Arithmetica (1999)
- Volume: 89, Issue: 1, page 45-51
- ISSN: 0065-1036
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topJan-Hendrik Evertse. "The number of solutions of linear equations in roots of unity." Acta Arithmetica 89.1 (1999): 45-51. <http://eudml.org/doc/207258>.
@article{Jan1999,
author = {Jan-Hendrik Evertse},
journal = {Acta Arithmetica},
keywords = {linear equations; roots of unity},
language = {eng},
number = {1},
pages = {45-51},
title = {The number of solutions of linear equations in roots of unity},
url = {http://eudml.org/doc/207258},
volume = {89},
year = {1999},
}
TY - JOUR
AU - Jan-Hendrik Evertse
TI - The number of solutions of linear equations in roots of unity
JO - Acta Arithmetica
PY - 1999
VL - 89
IS - 1
SP - 45
EP - 51
LA - eng
KW - linear equations; roots of unity
UR - http://eudml.org/doc/207258
ER -
References
top- [1] J. H. Conway and A. J. Jones, Trigonometric diophantine equations (On vanishing sums of roots of unity), Acta Arith. 30 (1976), 229-240. Zbl0349.10014
- [2] H. B. Mann, On linear relations between roots of unity, Mathematika 12 (1965), 107-117. Zbl0138.03102
- [3] A. Schinzel, Reducibility of lacunary polynomials, VIII, Acta Arith. 50 (1988), 91-106. Zbl0652.12001
- [4] H. P. Schlickewei, Equations in roots of unity, Acta Arith. 76 (1996), 99-108. Zbl0857.11015
- [5] U. Zannier, On the linear independence of roots of unity over finite extensions of Q, Acta Arith. 52 (1989), 171-182. Zbl0679.10028
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