A well-known conjecture says that for any integer \(n>1\) the equation \(4 / n=\) \(1 / x+1 / y+1 / z\) has a solution in positive integers \(x, y\), and \(z\). By use of sieve methods we prove some asymptotic formulae and lower bounds for certain exceptional sets related to this problem. 1994 Acade
β¦ LIBER β¦
On the equation 4n = 1x + 1y + 1z
β Scribed by Li Delang
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 300 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On 4/n=1/x + 1/y + 1/z and Iwaniecβ² Half
β
J.W. Sander
π
Article
π
1994
π
Elsevier Science
π
English
β 331 KB
On the equation (x+1)β¦(x+k) = (y+1)β¦(y+m
β
N. Saradha; T.N. Shorey
π
Article
π
1992
π
Elsevier Science
π
English
β 587 KB
The equations (x+1)β¦(x+k)=(y+1)β¦(y+mk) w
β
N. Saradha; T.N. Shorey
π
Article
π
1991
π
Elsevier Science
π
English
β 957 KB
On the equation f(x + 1)...f(x + k)=f(y
β
R. Balasubramanian; T.N. Shorey
π
Article
π
1993
π
Elsevier Science
π
English
β 501 KB
On the Equation x4 + mx2y2 + y4 = z2
β
A. Bremner; J.W. Jones
π
Article
π
1995
π
Elsevier Science
π
English
β 878 KB
A structure theorem on the Mordell-Weil group of abelian varieties which arise as the twists associated with various double covers of varieties is proved. As an application, a three-parameter family of elliptic curves whose generic Mordell-Weil rank is four is constructed. * 1995 Academic Press. Inc
On the diophantine equation y2 = 4qn + 4
β
Nikos Tzanakis; John Wolfskill
π
Article
π
1986
π
Elsevier Science
π
English
β 837 KB