On the minimum of the unit lattice
Journal de théorie des nombres de Bordeaux (1991)
- Volume: 3, Issue: 2, page 377-380
- ISSN: 1246-7405
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topKessler, Volker. "On the minimum of the unit lattice." Journal de théorie des nombres de Bordeaux 3.2 (1991): 377-380. <http://eudml.org/doc/93546>.
@article{Kessler1991,
author = {Kessler, Volker},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {lattices; Mahler's measure; Smyth's inequality; Dobrowolski's inequality; unit group},
language = {eng},
number = {2},
pages = {377-380},
publisher = {Université Bordeaux I},
title = {On the minimum of the unit lattice},
url = {http://eudml.org/doc/93546},
volume = {3},
year = {1991},
}
TY - JOUR
AU - Kessler, Volker
TI - On the minimum of the unit lattice
JO - Journal de théorie des nombres de Bordeaux
PY - 1991
PB - Université Bordeaux I
VL - 3
IS - 2
SP - 377
EP - 380
LA - eng
KW - lattices; Mahler's measure; Smyth's inequality; Dobrowolski's inequality; unit group
UR - http://eudml.org/doc/93546
ER -
References
top- [1] Buchmann, ZurKomplexität der Berechnung von Einheiten und Klassenzahlen algebraicher Zahlkörper, HabilitationsschriftDüsseldorf (1987).
- [2] Buchmann, Kessler, Computing a reduced lattice basis from a generating system, to appear.
- [3] Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta arithmetica34 (1979), 391-401. Zbl0416.12001MR543210
- [4] Schinzel Zassenhaus, A refinement of two theorems of Kronecker, Mich. Math. J.12 (1965), 81-84. Zbl0128.03402MR175882
- [5] , SmythOn the product of the conjugates outside the unit circle of an algebraic integer, Bull. London Math. Soc.3 (1971), 169-175. Zbl0235.12003MR289451
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