Showing 1 - 20 of 421

1

Algebraic integers with conjugates in a prescribed distribution
Smith, Alexander
Annals of Mathematics. 200

11R06 (Primary) 11G10, 1... trace problem Mathematics - Number The... Algebraic number theory... algebraic integer Honda-Tate theory
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2

Salem numbers with minimal trace
Chen, Qiong ; Wu, Qiang
Mathematics of Computation. 92:1779-1790

PV-numbers and generaliz... other special algebraic... Mahler measure Salem number integer transfinite diam... explicit auxiliary funct...
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3

THE ABSOLUTE -MEASURE OF TOTALLY POSITIVE ALGEBRAIC INTEGERS: The absolute \(S_k\)-measure of totally positive algebraic integers
CONG WANG ; XIAOJUAN PANG ; QIANG WU
Bulletin of the Australian Mathematical Society. 107:239-249

PV-numbers and generaliz... other special algebraic... Mahler measure \(S_k\)-measure explicit auxiliary funct... LLL algorithm
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4

Totally positive algebraic integers with small trace
Cong Wang ; Jie Wu ; Qiang Wu ; et al.
Mathematics of Computation. 90:2317-2332

PV-numbers and generaliz... other special algebraic... Mahler measure explicit auxiliary funct... LLL algorithm absolute trace
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5

Upper bounds for the usual measures of totally positive algebraic integers with house less than 5.8
V. Flammang
Mathematics of Computation. 90:379-388

explicit auxiliary funct... PV-numbers and generaliz... other special algebraic... Mahler measure absolute trace Algebraic number theory...
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6

An analog to the Schur-Siegel-Smyth trace problem
V. Flammang
Mathematics of Computation. 89:2387-2398

explicit auxiliary funct... PV-numbers and generaliz... other special algebraic... Mahler measure Schur-Siegel-Smyth trace... absolute trace
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7

Representation, simplification and display of fractional powers of rational numbers in computer algebra
Rich, Albert D. ; Stoutemyer, David R.

Computer Science - Symbo... 11 Number Theory, Algebr... I.1.1
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8

The absolute trace of totally positive algebraic integers
V. Flammang ; Flammang, Valérie
International Journal of Number Theory. 15:173-181

recursive algorithm PV-numbers and generaliz... other special algebraic... Mahler measure Totally real fields Algebraic number theory...
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9

A variant S2 measure for algebraic integers all of whose conjugates lie in a sector: A variant \(S_2\) measure for algebraic integers all of whose conjugates Lie in a sector
Valérie Flammang
Rocky Mountain Journal of Mathematics. 51

explicit auxiliary funct... recursive algorithm PV-numbers and generaliz... other special algebraic... Mahler measure algebraic integers
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10

On the smallest houses of reciprocal algebraic integers
Qiang Wu ; Zhuo Zhang
Journal of Number Theory. 177:170-180

PV-numbers and generaliz... other special algebraic... Mahler measure integer transfinite diam... explicit auxiliary funct... reciprocal
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11

The absolute trace of totally positive reciprocal algebraic integers
Qiang Wu ; Xiaoqian Dong
Journal of Number Theory. 170:66-74

explicit auxiliary funct... absolute trace Algebraic number theory... 0101 mathematics totally positive recipro... 01 natural sciences
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12

The S-measure for algebraic integers having all their conjugates in a sector
Flammang, Valérie ; Flammang, Valérie
Rocky Mountain J. Math. 50, no. 6 (2020), 2035-2045
Rocky Mountain J. Math. 50, no. 4 (2020), 1313-1321

recursive algorithm algebraic integers Algebraic number theory... measure [MATH] Mathematics [math... 01 natural sciences
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13

Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH
Grenie', L. ; Molteni, G.
Funct. Approx. Comment. Math. 57, no. 1 (2017), 21-38

11R42: Zeta functions an... 11Y40: Algebraic number... Mathematics - Number The... explicit bounds 16. Peace & justice 01 natural sciences
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14

Explicit smoothed prime ideals theorems under GRH
GRENIE, Loic Andre Henri ; Molteni, Giuseppe
Mathematics of Computation. 85:1875-1899

11R42: Zeta functions an... 11Y40: Algebraic number... Mathematics - Number The... FOS: Mathematics algebra and number theor... applied mathematics
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15

Upper bounds for the prime divisors of Wendt's determinant
Anastasios Simalarides
Mathematics of Computation. 71:415-428

Fermat's congruence algebraic number theory... Wendt's determinant Algebraic number theory... 0101 mathematics Matrices, determinants i...
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16

The measure of totally positive algebraic integers
Quanwu Mu ; Qiang Wu
Journal of Number Theory. 133:12-19

PV-numbers and generaliz... other special algebraic... Mahler measure Algebra and Number Theor... explicit auxiliary funct... LLL algorithm
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17

THE TRACE PROBLEM FOR TOTALLY POSITIVE ALGEBRAIC INTEGERS: The trace problem for totally positive algebraic integers
Yanhua Liang ; Qiang Wu
Journal of the Australian Mathematical Society. 90:341-354

PV-numbers and generaliz... other special algebraic... Mahler measure Normal numbers, radix ex... Salem number explicit auxiliary funct...
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18

KANT V4
K. Wildanger ; M. Daberkow ; Michael Pohst ; et al.
Journal of Symbolic Computation. 24:267-283

Algebra and Number Theor... Algebraic number theory... Symbolic computation and... 01 natural sciences Hilbert class fields Computational Mathematic...
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19

The smallest Perron numbers
Qiang Wu
Mathematics of Computation. 79:2387-2394

PV-numbers and generaliz... other special algebraic... Mahler measure transfinite diameter Algebraic number theory... 0101 mathematics
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20

Fundamental units in a family of cubic fields
Veikko Ennola
Journal de théorie des nombres de Bordeaux. 16:569-575

cubic field Cubic and quartic extens... maximal order non-abelian field Maple computation Algebraic number theory...
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