# Equations in roots of unity

Acta Arithmetica (1996)

- Volume: 76, Issue: 2, page 99-108
- ISSN: 0065-1036

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topHans Peter Schlickewei. "Equations in roots of unity." Acta Arithmetica 76.2 (1996): 99-108. <http://eudml.org/doc/206895>.

@article{HansPeterSchlickewei1996,

author = {Hans Peter Schlickewei},

journal = {Acta Arithmetica},

keywords = {equation in roots of unity; estimates for the number of nondegenerate solutions},

language = {eng},

number = {2},

pages = {99-108},

title = {Equations in roots of unity},

url = {http://eudml.org/doc/206895},

volume = {76},

year = {1996},

}

TY - JOUR

AU - Hans Peter Schlickewei

TI - Equations in roots of unity

JO - Acta Arithmetica

PY - 1996

VL - 76

IS - 2

SP - 99

EP - 108

LA - eng

KW - equation in roots of unity; estimates for the number of nondegenerate solutions

UR - http://eudml.org/doc/206895

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 linears relations between roots of unity, Mathematika 12 (1965), 107-117. Zbl0138.03102
- [3] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94. Zbl0122.05001
- [4] A. Schinzel, Reducibility of lacunary polynomials, VIII, Acta Arith. 50 (1988), 91-106. Zbl0652.12001
- [5] H. P. Schlickewei, Linear equations over groups of finite rank, to appear. Zbl1208.14036
- [6] H. P. Schlickewei and W. M. Schmidt, On polynomial-exponential equations, Math. Ann. 296 (1993), 339-361. Zbl0805.11029
- [7] 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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