Equations in roots of unity

Hans Peter Schlickewei

Acta Arithmetica (1996)

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

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Hans 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

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  1. [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. [2] H. B. Mann, On linears relations between roots of unity, Mathematika 12 (1965), 107-117. Zbl0138.03102
  3. [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. [4] A. Schinzel, Reducibility of lacunary polynomials, VIII, Acta Arith. 50 (1988), 91-106. Zbl0652.12001
  5. [5] H. P. Schlickewei, Linear equations over groups of finite rank, to appear. Zbl1208.14036
  6. [6] H. P. Schlickewei and W. M. Schmidt, On polynomial-exponential equations, Math. Ann. 296 (1993), 339-361. Zbl0805.11029
  7. [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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