Small solutions of an equation with unequal powers of primes

Small solutions of an equation with unequal powers of primes
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素数不等次幂方程的小解

DOI:
10.4064/aa190107-8-8
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发表时间:
2020
期刊:
影响因子:
0.7
通讯作者:
Zhang Rui
Zhang Rui
中科院分区:
数学3区
文献类型:
--
作者:
Liu Zhixin;Zhang Rui

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n = p1 + p 2 2 + p 3 3 + p 4 4 + p 5 5. An interesting problem is to find the so-called Baker constant of the problem. Let a1, . . . , a5 be not all of the same sign. We consider the equation (1.1) n = a1p1 + a2p2 + a3p 3 3 + a4p 4 4 + a5p 5 5. The problem is to find an explicit F = F (a1, . . . , a5;n) such that the above equation is solvable with max{p1, p2, p3, p4, p5} F . In parallel, we can get the version for a1, . . . , a5 being all positive numbers. Suppose that for all q ≥ 1,
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发表时间: 2016-05
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