Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Idoneal number"'
Publikováno v:
Advances in Pure Mathematics. 11:27-62
The Number Theory comes back as the heart of unified Science, in a Computing Cosmos using the bases 2;3;5;7 whose two symmetric combinations explain the main lepton mass ratios. The corresponding Holic Principle induces a symmetry between the Newton
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93fd4cac99dba523f586c544d1db579a
https://doi.org/10.4236/apm.2021.111004
https://doi.org/10.4236/apm.2021.111004
Autor:
Guangshi Lü
Publikováno v:
Monatshefte für Mathematik. 187:113-123
In this paper, it is proved by a different method that every sufficiently large odd integer can be written as a sum of one prime, two squares of primes and 17 powers of 2, which improves the previous result $$k=31$$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b01e570e683baab35bcc86f60e76c7e
https://doi.org/10.1007/s00605-017-1104-4
https://doi.org/10.1007/s00605-017-1104-4
Autor:
Dongho Byeon, Keunyoung Jeong
Publikováno v:
Journal of Number Theory. 179:240-255
In this paper, we show that for any given integer k ≥ 2 , there are infinitely many cube-free integers n having exactly k prime divisors such that n is a sum of two rational cubes. This is a cubic analogue of the work of Tian [Ti] , which proves th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::323506770534dd21aeb81ed9f9777b49
https://doi.org/10.1016/j.jnt.2017.03.011
https://doi.org/10.1016/j.jnt.2017.03.011
Autor:
Yuhui Liu
Publikováno v:
Quaestiones Mathematicae; Vol 40, No 8 (2017); 1127–1134
The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study some classical problem related to a prime p. We shall give some new identities involving a prime p, one of which is that if prime p = 6k + 1, then
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4342841ea894743a4a9187b562c2085b
https://doi.org/10.2989/16073606.2017.1367334
https://doi.org/10.2989/16073606.2017.1367334
Autor:
Zhixin Liu
Publikováno v:
Journal of Number Theory. 176:439-448
In this short paper, it is proved that every sufficiently large even integer is a sum of two squares of primes, two cubes of primes, two fourth powers of primes and 41 powers of 2. Furthermore, there are at least 3.682% odd integers that can be repre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a0852f47a3a76f19a304546806cb202
https://doi.org/10.1016/j.jnt.2016.12.009
https://doi.org/10.1016/j.jnt.2016.12.009
Autor:
Werner Hürlimann
Publikováno v:
Journal of Number Theory. 171:284-300
For the specific set of fifteen ternary quadratic forms x 2 + b y 2 + c z 2 , b , c ∈ { 1 , 2 , 4 , 8 } , ( b , c ) ∈ { ( 2 , 16 ) , ( 8 , 16 ) , ( 1 , 3 ) , ( 2 , 3 ) , ( 1 , 5 ) } , it is shown that the distinct zero-free representations of an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f94211f095aa252744b5f9d4d68454c4
https://doi.org/10.1016/j.jnt.2016.07.014
https://doi.org/10.1016/j.jnt.2016.07.014
Autor:
Akshaa Vatwani
Publikováno v:
Journal of Number Theory. 171:449-473
We show that there are infinitely many distinct rational primes of the form p 1 = a 2 + b 2 and p 2 = a 2 + ( b + h ) 2 , with a , b , h integers, such that | h | ≤ 246 . We do this by viewing a Gaussian prime c + d i as a lattice point ( c , d ) i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd94a42b0895bcfeb3527f8c9c74e1f6
https://doi.org/10.1016/j.jnt.2016.07.008
https://doi.org/10.1016/j.jnt.2016.07.008
Autor:
Huafeng Liu
Publikováno v:
International Journal of Number Theory. 12:1813-1825
In this paper, it is proved that for [Formula: see text], every sufficient large odd integer is a sum of one prime, two squares of primes and [Formula: see text] powers of two. Furthermore, for [Formula: see text], every pair of large odd integers sa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2ea683a78098e089a9a3c8c4445a20d
https://doi.org/10.1142/s1793042116501128
https://doi.org/10.1142/s1793042116501128
Autor:
S. N. Baibekov, A. A. Durmagambetov
Publikováno v:
Advances in Pure Mathematics. :954-971
This work is devoted to the theory of prime numbers. Firstly it introduced the concept of matrix primes, which can help to generate a sequence of prime numbers. Then it proposed a number of theorems, which together with theorem of Dirichlet, Siegel a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2bc1999f4eceaa8ba33a374cc6e6e6f
https://doi.org/10.4236/apm.2016.613073
https://doi.org/10.4236/apm.2016.613073
Autor:
B. Sury
Publikováno v:
Resonance. 20:680-698
To Ramanujan, each number was a personal friend in whose company, a lifetime he did spend. Let us too begin this quest to befriend numbers of interest. A friend of a friend is a friend, may we not pretend ?!
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66d51a404ebb71471834969d74cd828e
https://doi.org/10.1007/s12045-015-0226-z
https://doi.org/10.1007/s12045-015-0226-z