On two-variable expanders over finite rings

被引：0

作者：

Hieu, Do Duy ^{[1
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam

来源：

关键词：

Two-variable expanders; Expanders; Finite rings; SUM-PRODUCT ESTIMATE; FIELDS;

D O I：

10.1007/s40879-023-00608-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give the finite ring versions of some results on two-variable expanders, which were studied over finite fields by Balog et al. and Hart et al.

引用

页数：8

共 50 条

[41] A note on a family of two-variable polynomials
Aktas, Rabia
Altin, Abdullah
Tasdelen, Fatma
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (16) : 4825 - 4833
[42] A note on the two-variable expansion method
Hu, H.
Zheng, M. Y.
ACTA MECHANICA, 2011, 216 (1-4) : 351 - 357
[43] Two-variable logic with counting is decidable
Gradel, E
Otto, M
Rosen, E
12TH ANNUAL IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE, PROCEEDINGS, 1997, : 306 - 317
[44] Two-variable linear programming in parallel
Chen, DZ
Xu, JH
ALGORITHM THEORY - SWAT'98, 1998, 1432 : 169 - 180
[45] Combinatorics of the two-variable zeta function
Duursma, IM
FINITE FIELDS AND APPLICATIONS, 2004, 2948 : 109 - 136
[46] Generic two-variable model of excitability
Ventura, A.C.
Mindlin, G.B.
Dawson, S. Ponce
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 65 (04): : 1 - 046231
[47] Two-Variable Logic on Data Words
Bojanczyk, Mikolaj
David, Claire
Muscholl, Anca
Schwentick, Thomas
Segoufin, Luc
ACM TRANSACTIONS ON COMPUTATIONAL LOGIC, 2011, 12 (04)
[48] A note on the two-variable expansion method
H. Hu
M. Y. Zheng
Acta Mechanica, 2011, 216 : 351 - 357
[49] On preservation theorems for two-variable logic
Grädel, E
Rosen, E
MATHEMATICAL LOGIC QUARTERLY, 1999, 45 (03) : 315 - 325
[50] A note on a family of two-variable polynomials
Ankara University, Faculty of Science, Department of Mathematics, Tandoan TR-06100, Ankara, Turkey
J. Comput. Appl. Math., 1600, 16 (4825-4833):