ON ADDITIVE REPRESENTATION FUNCTIONS OF FINITE SETS, I (VARIATION)

作     者：Sarkoezy, Andras 

作者机构：Eotvos Lorand Univ Dept Algebra & Number Theory H-1117 Budapest Hungary 

出 版 物：《PERIODICA MATHEMATICA HUNGARICA》 (匈牙利数学学报)

年 卷 期：2013年第66卷第2期

页      面：201-210页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Hungarian NFSR [K67676  K72731] 

主　　题：additive representation function variation 

摘      要：If m is an element of N, Z(m) is the additive group of the modulo m residue classes, A subset of Z(m) and n is an element of Z(m), then let R(A, n) denote the number of solutions of a + a = n with a, a is an element of A. The variation V (A) = (n is an element of Zm)max vertical bar R(A, n + 1) - R(A, n)vertical bar is estimated in terms of the number of a s with a - 1 is not an element of A, a is an element of A.