|Table of Contents|

A Problem on the Addition of Residue Classes by Sárközy(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年02期
Page:
10-14
Research Field:
数学
Publishing date:

Info

Title:
A Problem on the Addition of Residue Classes by Sárközy
Author(s):
Yang Shichun12Tang Jiangang1
1.College of Mathematics and Statistics,Yili Normal University,Yining 835000,China
2.Department of Mathematics,ABa Teachers College,Wenchuan 623000,China
Keywords:
additionresidue classeseven number moduloSárközy problem
PACS:
O156.1
DOI:
-
Abstract:
The characteristic of the A+B and A+^B,is a difficult topic in number theory and combinatorics,and plays an important and profound role.In this paper,we first noted that under normal circumstances,the answer of a problem on the addition of residue classes by Sárközy is negative.Secondly,for the mode even number m of irreducible residue system,using Cauchy-Davenport theorem,we give the problem in two preliminary results when m=2 p,2k p(k≥2),where p is a prime number.Finally,we presented some problems and conjectures to be studied.

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Last Update: 2013-06-30