標(biāo)題: Titlebook: Around the Unit Circle; Mahler Measure, Inte James McKee,Chris Smyth Textbook 2021 Springer Nature Switzerland AG 2021 Mahler measure.Lehme [打印本頁(yè)] 作者: Hemochromatosis 時(shí)間: 2025-3-21 19:28
書目名稱Around the Unit Circle影響因子(影響力)
書目名稱Around the Unit Circle影響因子(影響力)學(xué)科排名
書目名稱Around the Unit Circle網(wǎng)絡(luò)公開(kāi)度
書目名稱Around the Unit Circle網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書目名稱Around the Unit Circle被引頻次
書目名稱Around the Unit Circle被引頻次學(xué)科排名
書目名稱Around the Unit Circle年度引用
書目名稱Around the Unit Circle年度引用學(xué)科排名
書目名稱Around the Unit Circle讀者反饋
書目名稱Around the Unit Circle讀者反饋學(xué)科排名
作者: crescendo 時(shí)間: 2025-3-21 21:49
Cyclotomic Integer Symmetric Matrices I: Tools and Statement of the Classification Theorem,e define the Mahler measure of . to be .. This Mahler measure is a function of the eigenvalues of .. If . is symmetric, then we get more control on its eigenvalues and hence on its Mahler measure. We start on the task of finding integer symmetric matrices that have small Mahler measure. Most of thes作者: Exposure 時(shí)間: 2025-3-22 02:01
Cyclotomic Integer Symmetric Matrices II: Proof of the Classification Theorem,cted charged signed graphs. The uncharged case (signed graphs) is considered first, and then the complications of adding charges are resolved, before gluing all the work together to complete the classification.作者: Libido 時(shí)間: 2025-3-22 07:13
The Transfinite Diameter and Conjugate Sets of Algebraic Integers,o consideration of which such sets contain finitely or infinitely many sets of conjugate algebraic integers. We also summarise the main results concerning two variants of the transfinite diameter, namely the integer transfinite diameter and the monic integer transfinite diameter.作者: Cacophonous 時(shí)間: 2025-3-22 12:16 作者: 令人心醉 時(shí)間: 2025-3-22 15:38
The Trace Problem for Integer Symmetric Matrices,n formulate an analogous problem for the mean traces of positive definite integer symmetric matrices. As with Lehmer’s Conjecture, we find that the restricted combinatorial problem is more tractable, and indeed, we can solve it. We also develop a structure theory for minimal-trace examples.作者: lambaste 時(shí)間: 2025-3-22 19:39 作者: 擁擠前 時(shí)間: 2025-3-22 22:11 作者: 好色 時(shí)間: 2025-3-23 01:39
https://doi.org/10.1007/978-981-16-4404-7for symmetrizable matrices. We explore connections with equitable partitions of signed graphs. It will transpire that symmetrizable integer matrices are precisely those that occur as quotient matrices for these equitable partitions.作者: 嫌惡 時(shí)間: 2025-3-23 09:04
Symmetrizable Matrices I: Introduction,for symmetrizable matrices. We explore connections with equitable partitions of signed graphs. It will transpire that symmetrizable integer matrices are precisely those that occur as quotient matrices for these equitable partitions.作者: 四海為家的人 時(shí)間: 2025-3-23 13:15
Exploring the Translatability of Emotions(those that have Mahler measure 1), we introduce the tool of representing the matrices by Gram vectors; finally, we state classification of integer symmetric matrices that have Mahler measure 1 (proof in the next chapter).作者: 一回合 時(shí)間: 2025-3-23 14:06 作者: archaeology 時(shí)間: 2025-3-23 18:46
https://doi.org/10.1007/978-3-030-91748-7t of the chapter is devoted to the discussion of some problems and conjectures about cyclotomic integers due to R. M. Robinson. Finally, there are some results on multiplicative relations between conjugate roots of unity.作者: Valves 時(shí)間: 2025-3-24 00:55 作者: mortgage 時(shí)間: 2025-3-24 02:58
Textbook 2021tic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very recent, such as Dimitrov’s proof of the Schinzel–Zasse作者: Anecdote 時(shí)間: 2025-3-24 10:32
Cyclotomic Integer Symmetric Matrices II: Proof of the Classification Theorem,cted charged signed graphs. The uncharged case (signed graphs) is considered first, and then the complications of adding charges are resolved, before gluing all the work together to complete the classification.作者: Neutropenia 時(shí)間: 2025-3-24 12:32 作者: 閃光東本 時(shí)間: 2025-3-24 17:31 作者: GOAD 時(shí)間: 2025-3-24 19:57
The Trace Problem for Integer Symmetric Matrices,n formulate an analogous problem for the mean traces of positive definite integer symmetric matrices. As with Lehmer’s Conjecture, we find that the restricted combinatorial problem is more tractable, and indeed, we can solve it. We also develop a structure theory for minimal-trace examples.作者: CURB 時(shí)間: 2025-3-25 01:49
Around the Unit Circle978-3-030-80031-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 作者: 有節(jié)制 時(shí)間: 2025-3-25 06:53 作者: 步履蹣跚 時(shí)間: 2025-3-25 11:21 作者: Cholagogue 時(shí)間: 2025-3-25 12:24 作者: thrombosis 時(shí)間: 2025-3-25 18:14 作者: 浪費(fèi)時(shí)間 時(shí)間: 2025-3-25 23:11
Thomas G. Reio Jr.,Stephanie M. ReioIn this chapter, we introduce some basic results about the Mahler measure of polynomials in one variable and some of its applications. In later chapters, there are further results for one-variable Mahler measures: Dobrowolski’s Theorem and Mahler measures for restricted sets of polynomials and for nonreciprocal polynomials.作者: 跳動(dòng) 時(shí)間: 2025-3-26 01:49 作者: 果仁 時(shí)間: 2025-3-26 06:35 作者: 善辯 時(shí)間: 2025-3-26 10:42 作者: 運(yùn)動(dòng)的我 時(shí)間: 2025-3-26 12:48 作者: 明確 時(shí)間: 2025-3-26 18:25 作者: 排出 時(shí)間: 2025-3-26 22:37 作者: Pepsin 時(shí)間: 2025-3-27 03:13
https://doi.org/10.1007/978-981-16-4404-7We show that the Mahler measure of a nonreciprocal integer polynomial has its minimum value for the polynomial ., and that this value is an isolated point in the set of such measures.作者: 洞穴 時(shí)間: 2025-3-27 07:12 作者: 過(guò)濾 時(shí)間: 2025-3-27 09:53 作者: 平 時(shí)間: 2025-3-27 15:28 作者: conference 時(shí)間: 2025-3-27 20:38
Mahler Measures of Polynomials in One Variable,In this chapter, we introduce some basic results about the Mahler measure of polynomials in one variable and some of its applications. In later chapters, there are further results for one-variable Mahler measures: Dobrowolski’s Theorem and Mahler measures for restricted sets of polynomials and for nonreciprocal polynomials.作者: Orchiectomy 時(shí)間: 2025-3-27 22:30 作者: MUTE 時(shí)間: 2025-3-28 05:57
,Dobrowolski’s Theorem,We prove Dobrowolski’s famous lower bound for the Mahler measure of an algebraic number of degree . and Mahler measure greater than 1. We follow the proof of Cantor and Straus, based on the confluent Vandermonde determinant.作者: 異端 時(shí)間: 2025-3-28 10:18 作者: 使虛弱 時(shí)間: 2025-3-28 10:50 作者: 喪失 時(shí)間: 2025-3-28 17:28
Cyclotomic Integer Symmetric Matrices Embedded in Toroidal and Cylindrical Tessellations,Having classified all cyclotomic integer symmetric matrices (those with Mahler measure 1), we move towards the analogue of Lehmer’s conjecture for integer symmetric matrices. The main goal in this chapter is to get an improved understanding of the structure of the maximal cyclotomic examples.作者: 裹住 時(shí)間: 2025-3-28 19:07 作者: TAG 時(shí)間: 2025-3-28 23:03 作者: encomiast 時(shí)間: 2025-3-29 05:54
The Method of Explicit Auxiliary Functions,In this chapter, we consider bounds for various functions defined on conjugate sets of algebraic numbers. These bounds are obtained by the use of explicit auxiliary functions, which are built from the logarithms of moduli of specific polynomials.作者: craving 時(shí)間: 2025-3-29 08:02 作者: preservative 時(shí)間: 2025-3-29 12:36 作者: 有斑點(diǎn) 時(shí)間: 2025-3-29 16:38
https://doi.org/10.1007/978-3-030-91748-7xt, we describe how to find the points on a plane curve whose coordinates are roots of unity. Then we give some fundamental results on the Cassels height of a cyclotomic integer, followed by some results on the minimal number of roots of unity whose sum is a given cyclotomic integer. Most of the res作者: enormous 時(shí)間: 2025-3-29 23:29 作者: Foment 時(shí)間: 2025-3-30 01:07 作者: 摸索 時(shí)間: 2025-3-30 06:06 作者: Fatten 時(shí)間: 2025-3-30 09:12
https://doi.org/10.1007/978-981-16-4404-7is greater than 1, then it is at least Lehmer’s number, and that this bound is attained. The analysis splits into: (i) minimal noncyclotomic examples that can be produced by adding a vertex to a subgraph of one of the sporadic cyclotomic examples; (ii) minimal noncyclotomic examples that cannot be s作者: Ordnance 時(shí)間: 2025-3-30 16:14 作者: 影響深遠(yuǎn) 時(shí)間: 2025-3-30 17:12
https://doi.org/10.1007/978-981-16-4404-7 these matrices as those that are sign symmetric and satisfy a certain cycle condition. The exact analogue of Cauchy interlacing will be seen to hold for symmetrizable matrices. We explore connections with equitable partitions of signed graphs. It will transpire that symmetrizable integer matrices a作者: insolence 時(shí)間: 2025-3-30 20:53 作者: CHIDE 時(shí)間: 2025-3-31 02:44
978-3-030-80030-7Springer Nature Switzerland AG 2021作者: 動(dòng)機(jī) 時(shí)間: 2025-3-31 07:20 作者: GIBE 時(shí)間: 2025-3-31 13:08 作者: 飛行員 時(shí)間: 2025-3-31 13:23
0172-5939 ted setsof polynomials, such as for totally real polynomials, and reciprocalpolynomials of integer symmetric as well as symmetrizable matrices. For reference, the book includes appendices providing necessary ba978-3-030-80030-7978-3-030-80031-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 作者: osteocytes 時(shí)間: 2025-3-31 20:24 作者: 四溢 時(shí)間: 2025-4-1 01:24
0930-8989 aterial to a wider audience. We wish to o?er a special thanks to IBM and to SGI for partial support of this year’s workshop. Th978-3-642-06587-3978-3-540-26565-8Series ISSN 0930-8989 Series E-ISSN 1867-4941
