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2,193
Algebraic Integers on the Unit Circle
, 2005
"... By computing the rank of the group of unimodular units in a given number field, we provide a simple proof of the classification of the number fields containing algebraic integers of modulus 1 that are not roots of unity. For a number field K, let VK denote the set of algebraic integers in K of modul ..."
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By computing the rank of the group of unimodular units in a given number field, we provide a simple proof of the classification of the number fields containing algebraic integers of modulus 1 that are not roots of unity. For a number field K, let VK denote the set of algebraic integers in K
Frequency Dependent Electrical Transport in the Integer Quantum Hall Effect
, 2003
"... It is well established to view the integer quantum Hall effect (QHE) as a sequence of quantum phase transitions associated with critical points that separate energy regions of localised states where the Hallconductivity σxy is quantised in integer units of e 2 /h (see, e.g., [1,2]). Simultaneously, ..."
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It is well established to view the integer quantum Hall effect (QHE) as a sequence of quantum phase transitions associated with critical points that separate energy regions of localised states where the Hallconductivity σxy is quantised in integer units of e 2 /h (see, e.g., [1,2]). Simultaneously, the
UNIT: VARCHAR2(255) ITEMMETHODLIST_NUM: INTEGER ITEMTYPELIST_NUM: INTEGER
, 2005
"... EXPEDITION_NUM: NUMBER PERSON_NUM: NUMBER DATA_QUALITY DATA_QUALITY_NUM: NUMBER REF_NUM: NUMBER INSTITUTION_NUM: NUMBER METHOD_COMMENT: VARCHAR2(2000) METHOD_NUM: NUMBER DATA_SOURCE: VARCHAR2(2000) EXPEDITION EXPEDITION_NUM: NUMBER ..."
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EXPEDITION_NUM: NUMBER PERSON_NUM: NUMBER DATA_QUALITY DATA_QUALITY_NUM: NUMBER REF_NUM: NUMBER INSTITUTION_NUM: NUMBER METHOD_COMMENT: VARCHAR2(2000) METHOD_NUM: NUMBER DATA_SOURCE: VARCHAR2(2000) EXPEDITION EXPEDITION_NUM: NUMBER
Units generating the ring of integers of complex cubic fields
"... All purely cubic fields such that their maximal order is generated by its units are determined. ..."
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Cited by 9 (5 self)
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All purely cubic fields such that their maximal order is generated by its units are determined.
UNIVALENT HARMONIC MAPPINGS WITH INTEGER OR HALFINTEGER COEFFICIENTS
"... Abstract. Let S denote the set of all univalent analytic functions f(z) = z +∑∞ n=2 anz n on the unit disk z  < 1. In 1946 B. Friedman found that the set S of those functions which have integer coefficients consists of only nine functions. In a recent paper Hiranuma and Sugawa proved that the ..."
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Abstract. Let S denote the set of all univalent analytic functions f(z) = z +∑∞ n=2 anz n on the unit disk z  < 1. In 1946 B. Friedman found that the set S of those functions which have integer coefficients consists of only nine functions. In a recent paper Hiranuma and Sugawa proved
A CONNECTION BETWEEN COVERS OF THE INTEGERS AND UNIT FRACTIONS
 ADV. IN APPL. MATH. 38(2007), NO. 2, 267–274.
, 2007
"... For integers a and n> 0, let a(n) denote the residue class {x ∈ Z: x ≡ a (mod n)}. Let A be a collection {as(ns)} k s=1 of finitely many residue classes such that A covers all the integers at least m times but {as(ns)} k−1 s=1 does not. We show that if nk is a period of the covering function wA( ..."
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Cited by 3 (3 self)
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For integers a and n> 0, let a(n) denote the residue class {x ∈ Z: x ≡ a (mod n)}. Let A be a collection {as(ns)} k s=1 of finitely many residue classes such that A covers all the integers at least m times but {as(ns)} k−1 s=1 does not. We show that if nk is a period of the covering function w
Euclidean rings of algebraic integers
 Canad. J. Math
"... Abstract. Let K be a finite Galois extension of the field of rational numbers with unit rank greater than 3. We prove that the ring of integers of K is a Euclidean domain if and only if it is a principal ideal domain. This was previously known under the assumption of the generalized Riemann hypothes ..."
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Cited by 7 (4 self)
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Abstract. Let K be a finite Galois extension of the field of rational numbers with unit rank greater than 3. We prove that the ring of integers of K is a Euclidean domain if and only if it is a principal ideal domain. This was previously known under the assumption of the generalized Riemann
Voronoi Cells of BetaIntegers
, 2005
"... In this paper are considered onedimensional tilings arising from some Pisot numbers encountered in quasicrystallography as the quadratic Pisot units and the cubic Pisot unit associated with 7fold symmetry, and also the Tribonacci number. We give characterizations of the Voronoi cells of such til ..."
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In this paper are considered onedimensional tilings arising from some Pisot numbers encountered in quasicrystallography as the quadratic Pisot units and the cubic Pisot unit associated with 7fold symmetry, and also the Tribonacci number. We give characterizations of the Voronoi cells
Integer Division Using Reciprocals
 In Proceedings of the Tenth Symposium on Computer Arithmetic
, 1991
"... As logic density increases, more and more functionality is moving into hardware. Several years ago, it was uncommon to find more than minimal support in a processor for integer multiplication and division. Now, several processors have multipliers included within the central processing unit on one in ..."
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Cited by 10 (0 self)
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As logic density increases, more and more functionality is moving into hardware. Several years ago, it was uncommon to find more than minimal support in a processor for integer multiplication and division. Now, several processors have multipliers included within the central processing unit on one
Results 11  20
of
2,193