Zobrazeno 1 - 10
of 33
pro vyhledávání: '"11D"'
Autor:
Fuchs, Clemens, Hajdu, Lajos
We highlight some of the most important cornerstones of the long standing and very fruitful collaboration of the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen. However, we do not plan to b
Externí odkaz:
http://arxiv.org/abs/1511.07689
Autor:
Kim, Dohyeong
Let $h(x,y)$ be a non-degenerate binary cubic form with integral coefficients, and let $S$ be an arbitrary finite set of prime numbers. By a classical theorem of Mahler, there are only finitely many pairs of relatively prime integers $x,y$ such that
Externí odkaz:
http://arxiv.org/abs/1501.06274
Autor:
Ruperto, Jose Luis Leal
Holzer proves that Legendre's equation $$ax^2+by^2+cz^2=0, $$ expressed in its normal form, when having a nontrivial solution in the integers, has a solution $(x,y,z)$ where $|x|\leq\sqrt{|bc|}, \quad |y|\leq\sqrt{|ac|}, \quad |z|\leq\sqrt{|ab|}.$ Th
Externí odkaz:
http://arxiv.org/abs/1405.1949
Autor:
Zelator, Konstantine
The subject matter of this work is the diophantine equation x^n+y^m=c(x^k)(y^l), where n,m,k,l,c are natural numbers.We investigate this equation from the point of view of positive integer solutions.A preliminary examination of sources such as refere
Externí odkaz:
http://arxiv.org/abs/1006.1880
Autor:
Zelator, Konstantine "Hermes"
We prove that for given integers b and c, the diophantine equation x^2+bx+c=y^2, has finitely many integer solutions(i.e. pairs in ZxZ),in fact an even number of such solutions(including the zero or no solutions case).We also offer an explicit descri
Externí odkaz:
http://arxiv.org/abs/0803.3956
Autor:
Zelator, Konstantine "Hermes"
There are four characteristic circles for each triangle on a plane. All for are tangential to the three straight lines containing the triangles' three sides. Three are exterior circles, the fourth is the in-circle. When the triangle is Pythagorean, t
Externí odkaz:
http://arxiv.org/abs/0803.3605
Autor:
Hartshorne, Robin, van Luijk, Ronald
We discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the prob
Externí odkaz:
http://arxiv.org/abs/math/0606700
Autor:
Anthony P. Davenport, H. Llewelyn Roderick, Emma L. Robinson, Kanar Alkass, Janet J. Maguire, Olaf Bergmann
Publikováno v:
Journal of Molecular and Cellular Cardiology, 147, 88-91. ELSEVIER SCI LTD
Journal of Molecular and Cellular Cardiology
Journal of Molecular and Cellular Cardiology
Age is an independent risk factor for adverse outcome in patients following COVID-19 infection. We hypothesised that differential expression of genes encoding proteins proposed to be required for entry of SARS-Cov-2 in aged compared to younger cardio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f95f476673d68f64444c4caae84f8cf
https://doi.org/10.1101/2020.07.07.191429
https://doi.org/10.1101/2020.07.07.191429
Autor:
Ronald van Luijk, Robin Hartshorne
Publikováno v:
Hartshorne, R; & Luijk, RV. (2016). Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/2xx6c4wz
We discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the prob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43b7aa3262160f7f5e79714f1de80468
http://www.escholarship.org/uc/item/2xx6c4wz
http://www.escholarship.org/uc/item/2xx6c4wz
Autor:
Fuchs, Clemens, Hajdu, Lajos
We highlight some of the most important cornerstones of the long standing and very fruitful collaboration of the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen. However, we do not plan to b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab31df87e8a8d61f88938dcee279ecb3