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
中科院分区:
文献类型:
--
作者:
Liu Zhixin;Zhang Rui
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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DOI:
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发表时间:
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期刊:
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影响因子:
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作者:
Stephen Kwok-Kwong;H Choi;In;M. C. Liu;K. Tsang
通讯作者:
Stephen Kwok-Kwong;H Choi;In;M. C. Liu;K. Tsang
DOI:
10.1360/03ys0341
发表时间:
2005
期刊:
Science in China Series A: Mathematics
影响因子:
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作者:
Xiumin Ren
通讯作者:
Xiumin Ren
影响因子:
0.7
作者:
S.K.K. Choi;A. Kumchev
通讯作者:
S.K.K. Choi;A. Kumchev
DOI:
10.1007/s11425-016-5150-5
发表时间:
2016-05
期刊:
Science China Mathematics
影响因子:
--
作者:
Lilu Zhao
通讯作者:
Lilu Zhao
DOI:
10.4153/cmb-2015-079-6
发表时间:
2016-09
期刊:
Canadian Mathematical Bulletin
影响因子:
--
作者:
Zhixin Liu
通讯作者:
Zhixin Liu