Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Tak Wing Ching"'
Autor:
Kai-Man Tsang, Tak Wing Ching
Publikováno v:
Mathematische Zeitschrift. 297:1105-1117
It is widely conjectured that every sufficiently large integer satisfying certain necessary congruence conditions is the sum of 4 cubes of prime numbers. As an approximation to this conjecture, we shall establish two results in this paper. Firstly, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d22af62050f8e197c4d9f3204a99bd81
https://doi.org/10.1007/s00209-020-02550-4
https://doi.org/10.1007/s00209-020-02550-4
Autor:
Tak Wing Ching
Publikováno v:
Journal of Number Theory. 212:233-264
We investigate Lagrange's equation with almost-prime variables. We establish the result that every sufficiently large integer of the form 24 k + 4 can be represented as the sum of four squares of almost-primes, three of them being P 3 -numbers and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::586a2a707237749c670150dd8929ccf6
https://doi.org/10.1016/j.jnt.2019.11.002
https://doi.org/10.1016/j.jnt.2019.11.002
Autor:
Tak Wing Ching
Publikováno v:
The Ramanujan Journal. 52:581-604
Let $$c_1,c_2,c_3$$ be nonzero integers such that $$c_1+c_2+c_3=0$$ . We consider the mixed power equation $$c_1(p_1^2+p_1'^3)+c_2(p_2^2+p_2'^3)+c_3(p_3^2+p_3'^3)=0$$ where $$p_1,p_2,p_3$$ belong to a certain set $${\mathcal {A}}$$ of primes and $$p_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ab562ae15551539d8d03a712ea99e3f
https://doi.org/10.1007/s11139-019-00148-x
https://doi.org/10.1007/s11139-019-00148-x
Autor:
Tak Wing Ching
Publikováno v:
Journal of Number Theory. 183:442-465
In this paper, we consider the representation of a large positive integer N ≡ 4 ( mod 24 ) in the form p 2 + x 1 2 + x 2 2 + x 3 2 where p is a prime number and x 1 , x 2 , x 3 are almost-primes. A positive integer is called a P r -number if its nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b48d3c6805ae045ef583c27eb477a667
https://doi.org/10.1016/j.jnt.2017.08.007
https://doi.org/10.1016/j.jnt.2017.08.007
Autor:
Kai-Man Tsang, Tak Wing Ching
Publikováno v:
Acta Arithmetica. 178:57-76
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6052de9e3b8008895a896e6a897e70a
https://doi.org/10.4064/aa8427-8-2016
https://doi.org/10.4064/aa8427-8-2016