# 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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top## How to cite

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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