Bounds for the Euclidean minima of function fields

被引：0
|
作者：
Maciak, Piotr [1 ]
Monsurro, Marina [2 ]
Zapponi, Leonardo [3 ]
机构：
[1] Ecole Polytech Fed Lausanne, Lausanne, Switzerland
[2] Univ Europea Roma, Rome, Italy
[3] Univ Paris 06, Paris, France
来源：
JOURNAL OF ALGEBRA | 2014年 / 399卷
关键词：
Function fields; Algebraic curves; Euclidean minima;
D O I：
10.1016/j.jalgebra.2013.09.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define Euclidean minima for function fields and give some bound for this invariant. We furthermore show that the results are analogous to those obtained in the number field case. (C) 2013 The Authors. Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：693 / 702
页数：10
相关论文
共 50 条
  • [41] A-PRIORI BOUNDS ON THE EUCLIDEAN TRAVELING SALESMAN
    SNYDER, TL
    STEELE, JM
    [J]. SIAM JOURNAL ON COMPUTING, 1995, 24 (03) : 665 - 671
  • [42] EUCLIDEAN VECTOR FIELDS ON HYPERSURFACES IN EUCLIDEAN SPACE AND INTEGRAL FORMULAS
    AMUR, K
    HEGDE, VS
    [J]. TENSOR, 1973, 27 (01): : 109 - 117
  • [43] WORST CASE BOUNDS FOR THE EUCLIDEAN MATCHING PROBLEM
    AVIS, D
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1981, 7 (03) : 251 - 257
  • [44] BOUNDS ON COMPLETELY CONVERGENT EUCLIDEAN FEYNMAN GRAPHS
    FELDMAN, J
    MAGNEN, J
    RIVASSEAU, V
    SENEOR, R
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 98 (02) : 273 - 288
  • [45] On perturbation bounds of eigenvalues in Euclidean Jordan Algebras
    Seltzer, Kevin
    Tao, J.
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (07): : 1379 - 1389
  • [46] FROM EUCLIDEAN TO RELATIVISTIC FIELDS AND ON NOTION OF MARKOV FIELDS
    HEGERFELDT, GC
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 35 (02) : 155 - 171
  • [47] EUCLIDEAN DISTANCE BOUNDS FOR LINEAR MATRIX INEQUALITIES ANALYTIC CENTERS USING A NOVEL BOUND ON THE LAMBERT FUNCTION
    Roig-Solvas, Biel
    Sznaier, Mario
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2022, 60 (02) : 720 - 731
  • [48] PRINCIPAL FACTORS AND LATTICE MINIMA IN CUBIC FIELDS
    AOUISSI, Siham
    AZIZI, Abdelmalek
    ISMAILI, Moulay Chrif
    MAYER, Daniel C.
    TALB, Mohamed, I
    [J]. KYUSHU JOURNAL OF MATHEMATICS, 2022, 76 (01) : 101 - 118
  • [49] Global magnetic fields: variation of solar minima
    Tlatov, Andrey G.
    Obridko, Vladimir N.
    [J]. COMPARATIVE MAGNETIC MINIMA: CHARACTERIZING QUIET TIMES IN THE SUN AND STARS, 2012, (286): : 113 - +
  • [50] Lower bounds for the minima of certain symplectic and unitary group lattices
    Dummigan, N
    Tiep, PH
    [J]. AMERICAN JOURNAL OF MATHEMATICS, 1999, 121 (04) : 889 - 918
12345