The number of solutions of linear equations in roots of unity
Jan-Hendrik Evertse
Acta Arithmetica, Tome 89 (1999), p. 45-51 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207258 
@article{bwmeta1.element.bwnjournal-article-aav89i1p45bwm,
     author = {Jan-Hendrik Evertse},
     title = {The number of solutions of linear equations in roots of unity},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {45-51},
     zbl = {0974.11012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav89i1p45bwm}
}

Jan-Hendrik Evertse. The number of solutions of linear equations in roots of unity. Acta Arithmetica, Tome 89 (1999) pp. 45-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav89i1p45bwm/

[000] [1] J. H. Conway and A. J. Jones, Trigonometric diophantine equations (On vanishing sums of roots of unity), Acta Arith. 30 (1976), 229-240. | Zbl 0349.10014

[001] [2] H. B. Mann, On linear relations between roots of unity, Mathematika 12 (1965), 107-117. | Zbl 0138.03102

[002] [3] A. Schinzel, Reducibility of lacunary polynomials, VIII, Acta Arith. 50 (1988), 91-106. | Zbl 0652.12001

[003] [4] H. P. Schlickewei, Equations in roots of unity, Acta Arith. 76 (1996), 99-108. | Zbl 0857.11015

[004] [5] U. Zannier, On the linear independence of roots of unity over finite extensions of Q, Acta Arith. 52 (1989), 171-182. | Zbl 0679.10028