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本文利用Davenport-Heilbroon形式的圆法研究了混合幂次为2,2,2,3的丢番图逼近问题：设λ1,λ2,λ3,λ4是非零实数且不全是负数，且λ1/λ2是无理数和代数数，V是具有良好间隔的序列，0<δ<1/32,那么对任意的ε>0,及υ∈V,υ≤N使得不等式■没有素数解p1,p2,p3,p4的υ的个数不超过■
Abstract：This paper uses the Davenport-Heilbroon form of the circle method to study the Diophantine approximation problem with mixed power of 2,2,2 and 3: assuming that λ1,λ2,λ3,λ4 are non-zero real numbers and not all negative numbers, and that λ1/λ2 is an irrational and algebraic number, V is a sequence with good intervals,0<δ<1/32, then for any ε>0,and υ∈V,υ≤N such that the number of values υ which the inequality ■ has no prime solutions p1,p2,p3,p4 does not exceed ■
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基本信息:
DOI：10.13804/j.cnki.2095-6991.2026.03.009
中图分类号:O156.7
引用信息:
[1]陈曼.一类素变量混合次幂丢番图不等式问题研究[J].兰州文理学院学报(自然科学版),2026,40(03):1-9.DOI:10.13804/j.cnki.2095-6991.2026.03.009.
2026-05-10
2026-05-10