An absolute Siegel's Lemma.
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Damien Roy, Jeffrey L. Thunder (1996)
Journal für die reine und angewandte Mathematik
E. Hlawka (1981)
Commentarii mathematici Helvetici
Jeffrey Lin Thunder (1993)
Compositio Mathematica
Håkan Lennerstad, Lars Lundberg (2010)
Acta Arithmetica
E. Bombieri, U. Zannier (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Wolfgang M. Schmidt (1985)
Monatshefte für Mathematik
Wolfgang M. Schmidt (1986)
Monatshefte für Mathematik
Luděk Spíchal (2021)
Pokroky matematiky, fyziky a astronomie
Článek se zaměřuje na bodové spirály odvozené zejména od Fermatovy a Archimédovy spirály. Pojem zlatého úhlu je rozšířen na množinu kovových úhlů jako analogie k množině kovových průměrů zavedených Verou de Spinadel.
S. Chaładus, Yu. Teterin (1991)
Acta Arithmetica
Bettina Just, Friedhelm Meyer auf der Heide, Avi Wigderson (1989)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
R. Hall, G. Tenenbaum (1984)
Acta Arithmetica
Ulrich Halbritter, Michael E. Pohst (2000)
Journal de théorie des nombres de Bordeaux
In this paper we introduce multiplicative lattices in and determine finite unions of suitable simplices as fundamental domains for sublattices of finite index. For this we define cyclic non-negative bases in arbitrary lattices. These bases are then used to calculate Shintani cones in totally real algebraic number fields. We mainly concentrate our considerations to lattices in two and three dimensions corresponding to cubic and quartic fields.
Edward B. Burger, Jeffrey D. Vaaler (1993)
Journal für die reine und angewandte Mathematik
Frederick Robinson, Michael Wurtz (2013)
Acta Arithmetica
We prove the last of five outstanding conjectures made by R. M. Robinson from 1965 concerning small cyclotomic integers. In particular, given any cyclotomic integer β all of whose conjugates have absolute value at most 5, we prove that the largest such conjugate has absolute value of one of four explicit types given by two infinite classes and two exceptional cases. We also extend this result by showing that with the addition of one form, the conjecture is true for β with magnitudes up to 5 + 1/25....
Lipschitz (1886)
Journal de Mathématiques Pures et Appliquées
Veech, William A. (1998)
Annals of Mathematics. Second Series
Robert Stalley (1988)
Acta Arithmetica
Michel Latteux (1987)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Wolfgang M. Schmidt (1998)
Monatshefte für Mathematik
I. Bárány (1995)
Discrete & computational geometry
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