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¡¶ÄϾ©Ê¦´óѧ±¨£¨×ÔÈ»¿Æѧ°æ£©¡·[ISSN:1001-4616/CN:32-1239/N]

Issue:

2013Äê02ÆÚ

Page:

10-14

Research Field:

Êýѧ

Publishing date:

Info

Title:

A Problem on the Addition of Residue Classes by S¨¢rközy

Author(s):

Yang Shichun¹; 2; Tang Jiangang¹

1.College of Mathematics and Statistics,Yili Normal University,Yining 835000,China
2.Department of Mathematics,ABa Teachers College,Wenchuan 623000,China

Keywords:

addition; residue classes; even number modulo; S¨¢rkö; zy 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 S¨¢rközy 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,2^k p(k¡Ý2),where p is a prime number.Finally,we presented some problems and conjectures to be studied.

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Memo

Memo:

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Common functions

Last Update: 2013-06-30