Cameron-Erdos modulo a prime

被引：10

作者：

Lev, VF ^{[1
]}

Schoen, T

机构：

[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

[2] Univ Kiel, Dept Math, Kiel, Germany

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2002年 / 8卷 / 01期

关键词：

D O I：

10.1006/ffta.2001.0330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that for p prime and sufficiently large, the number of subset of Z(p) free of solutions of the equation x + y = z (that is, free of Schur triples) satisfies 2([(p-2)/3])(p-1)(1+O(2(-epsilon 1 p)))less than or equal to\SF[Z(p)]\ less than or equal to 2(p/2-epsilon 2 p), where epsilon(1) and epsilon(2) are positive absolute Constants. (C) 2002 Elsevier Science.

引用

页码：108 / 119

页数：12

共 50 条

[41] On the distribution of primitive roots modulo a prime
Yi, Y
Zhang, WP
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2002, 61 (3-4): : 383 - 391
[42] Integrability of Discrete Equations Modulo a Prime
Kanki, Masataka
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2013, 9
[43] THE PERIOD OF THE BELL NUMBERS MODULO A PRIME
Montgomery, Peter L.
Nahm, Sangil
Wagstaff, Samuel S., Jr.
[J]. MATHEMATICS OF COMPUTATION, 2010, 79 (271) : 1793 - 1800
[44] RECOVERING ZEROS OF POLYNOMIALS MODULO A PRIME
Gomez, Domingo
Gutierrez, Jaime
[J]. MATHEMATICS OF COMPUTATION, 2014, 83 (290) : 2953 - 2965
[45] A POLYNOMIAL FORM FOR LOGARITHMS MODULO A PRIME
WELLS, AL
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1984, 30 (06) : 845 - 846
[46] On short Kloosterman sums modulo a prime
Korolev, M. A.
[J]. MATHEMATICAL NOTES, 2016, 100 (5-6) : 820 - 827
[47] Distribution of polynomial discriminants modulo a prime
Igor E. Shparlinski
[J]. Archiv der Mathematik, 2015, 105 : 251 - 259
[48] A curious congruence modulo prime powers
Wang, Liuquan
Cai, Tianxin
[J]. JOURNAL OF NUMBER THEORY, 2014, 144 : 15 - 24
[49] The distribution of patterns of inverses modulo a prime
Cobeli, CI
Gonek, SM
Zaharescu, A
[J]. JOURNAL OF NUMBER THEORY, 2003, 101 (02) : 209 - 222
[50] Exponential sums modulo prime powers
Cochrane, T
[J]. ACTA ARITHMETICA, 2002, 101 (02) : 131 - 149

← 1 2 3 4 5 →