The Integer Parts of a Nonlinear Form with Integer Variables and Mixed Powers 2 and 4  

作　　者：LI Wei-ping GE Wen-xu WANG Tian-ze 

机构地区：[1]Department of Mathematics and Information Sciences, Henan University of Economics and Law, Zhengzhou 450002, China [2]School of Mathematics and Information Sciences, North China University of Water Conservancy and Electric Power, Zhengzhou 450011, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第3期317-322,共6页数学季刊（英文版）

摘　　要：The present paper proved that if λ1, λ2, λ3 are positive real numbers, λ1/λ2 is irrational. Then, the integer parts of λ1x12＋ λ2x22＋ λ3x34 are prime infinitely often for natural numbers x1, x2, x3.

关 键 词：INTEGER VARIABLES DIOPHANTINE APPROXIMATION Davenport-Heilbronn method 

分 类 号：O156.4[理学—数学]