Counting solutions of decomposable form equations
Acta Arithmetica (1997)
- Volume: 79, Issue: 2, page 173-191
- ISSN: 0065-1036
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topG. R. Everest, and K. Győry. "Counting solutions of decomposable form equations." Acta Arithmetica 79.2 (1997): 173-191. <http://eudml.org/doc/206974>.
@article{G1997,
author = {G. R. Everest, K. Győry},
journal = {Acta Arithmetica},
keywords = {number of solutions; decomposable form equation; units in abelian group rings; counting function; asymptotic formulas},
language = {eng},
number = {2},
pages = {173-191},
title = {Counting solutions of decomposable form equations},
url = {http://eudml.org/doc/206974},
volume = {79},
year = {1997},
}
TY - JOUR
AU - G. R. Everest
AU - K. Győry
TI - Counting solutions of decomposable form equations
JO - Acta Arithmetica
PY - 1997
VL - 79
IS - 2
SP - 173
EP - 191
LA - eng
KW - number of solutions; decomposable form equation; units in abelian group rings; counting function; asymptotic formulas
UR - http://eudml.org/doc/206974
ER -
References
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- [4] G. R. Everest, Mean values of algebraic linear forms, Proc. London Math. Soc. 70 (1995), 529-555. Zbl0828.11035
- [5] J.-H. Evertse and K. Győry, The number of families of solutions of decomposable form equations, Acta Arith., to appear. Zbl0886.11015
- [6] K. Győry, Sur une classe des corps de nombres algébriques et ses applications, Publ. Math. Debrecen 22 (1975), 151-175. Zbl0336.12005
- [7] K. Győry, On the numbers of families of solutions of systems of decomposable form equations, Publ. Math. Debrecen 42 (1993), 65-101. Zbl0792.11004
- [8] K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen II, Acta Arith. 32 (1977), 349-363. Zbl0314.12015
- [9] K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen III, Acta Arith. 37 (1980), 143-165. Zbl0387.10010
- [10] G. Karpilovsky, Unit Groups of Classical Rings, Oxford University Press, 1988. Zbl0658.12002
- [11] W. M. Schmidt, Norm form equations, Ann. of Math. 96 (1972), 526-551. Zbl0226.10024
- [12] S. Sehgal, Topics in Group Rings, Dekker, New York, 1978 Zbl0411.16004
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