Title of article :
On the range of a covering function
Author/Authors :
Zhi-Wei Sun، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
7
From page :
190
To page :
196
Abstract :
Let be a finite system of residue classes with the moduli n1,…,nk distinct. By means of algebraic integers we show that the range of the covering function is not contained in any residue class with modulus greater one. In particular, the values of w(x) cannot have the same parity.
Keywords :
Cover of Z , Covering function , Erd?os–Selfridge conjecture
Journal title :
Journal of Number Theory
Serial Year :
2005
Journal title :
Journal of Number Theory
Record number :
715690
Link To Document :
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