On sum-product bases

被引：2

作者：

Hegyvari, Norbert ^{[1
]}

机构：

[1] Eotvos Lorand Univ, ELTE TTK, Inst Math, H-1117 Budapest, Hungary

来源：

RAMANUJAN JOURNAL | 2009年 / 19卷 / 01期

关键词：

Thin bases; Sum-product bases;

D O I：

10.1007/s11139-008-9154-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate additive-multiplicative bases in F-p. Let A, B subset of F-p*, s > 2, and lambda(1), lambda(2),..., lambda(s) is an element of Fp*. It is proved that Sigma(s)(i=1) lambda(i) AB = F-p, provided min {|B|(s/2)|A|((s-2)/2), |A|(s/2)|B|((s-2)/2)} > p(s/2).

引用

页码：1 / 8

页数：8

共 50 条

[31] Sum-product estimates for rational functions
Bukh, Boris
Tsimerman, Jacob
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2012, 104 : 1 - 26
[32] Asymmetric estimates and the sum-product problems
Xue, Boqing
ACTA ARITHMETICA, 2021, 198 (03) : 289 - 311
[33] The discretized sum-product and projection theorems
Bourgain, Jean
JOURNAL D ANALYSE MATHEMATIQUE, 2010, 112 : 193 - 236
[34] Learning Relational Sum-Product Networks
Nath, Aniruddh
Domingos, Pedro
PROCEEDINGS OF THE TWENTY-NINTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, 2015, : 2878 - 2886
[35] AN IMPROVED SUM-PRODUCT BOUND FOR QUATERNIONS
Basit, Abdul
Lund, Ben
SIAM JOURNAL ON DISCRETE MATHEMATICS, 2019, 33 (02) : 1044 - 1060
[36] Sum-product theorems and incidence geometry
Chang, Mei-Chu
Solymosi, Jozsef
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2007, 9 (03) : 545 - 560
[37] VARIATIONS ON THE SUM-PRODUCT PROBLEMS II
Murphy, Brendan
Roche-Newton, Oliver
Shkredov, Ilya D.
SIAM JOURNAL ON DISCRETE MATHEMATICS, 2017, 31 (03) : 1878 - 1894
[38] An Explicit Sum-Product Estimate in Fp
Garaev, M. Z.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007
[39] Sum-Product decoding of convolutional codes
Shohon, Toshiyuki
Ogawa, Yuuichi
Ogiwara, Haruo
IWSDA'09: PROCEEDINGS OF THE FOURTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS, 2009, : 64 - +
[40] Sum-product for real Lie groups
He, Weikun
de Saxce, Nicolas
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021, 23 (06) : 2127 - 2151

← 1 2 3 4 5 →