ADDITIVE DIOPHANTINE INEQUALITIES WITH MIXED POWERS .3.

被引:1
|
作者
BRUDERN, J [1 ]
机构
[1] MATH INST,W-3400 GOTTINGEN,GERMANY
关键词
D O I
10.1016/S0022-314X(05)80037-X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that if λ1, λ2...,λ7 are nonzero real numbers such that λi/λj is irrational for at least one pair i, j then the values taken by λ1x12+λ2x22+σk7=3λkxkk for integral xk are everywhere dense on the real line. A similar result is proved for λ1x13+λ2x23+...+λ6x63+λ7x74+λ8x84. A notable feature is that in contrast to earlier work it is not necessarily assumed that λ1/λ2 is irrational. © 1991 Academic Press, Inc.
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页码:199 / 210
页数:12
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