EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 32 Next

Displaying 621 – 640 of 1970

A note on the diophantine equation $(x^{2} - 1) (y^{2} - 1) = {(z^{2} - 1)}^{2}$

Huaming Wu, Maohua Le (1996)

Colloquium Mathematicae

A note on the diophantine equation $x ² + b^{y} = c^{z}$

Maohua Le (1995)

Acta Arithmetica

A note on the diophantine equation $x^{2} + b^{Y} = c^{z}$

Maohua Le (2006)

Czechoslovak Mathematical Journal

Let $a$ , $b$ , $c$ , $r$ be positive integers such that $a^{2} + b^{2} = c^{r}$ , $min (a, b, c, r) > 1$ , $gcd (a, b) = 1, a$ is even and $r$ is odd. In this paper we prove that if $b \equiv 3 (m o d 4)$ and either $b$ or $c$ is an odd prime power, then the equation $x^{2} + b^{y} = c^{z}$ has only the positive integer solution $(x, y, z) = (a, 2, r)$ with $min (y, z) > 1$ .

A note on the Diophantine equation $x^{2} + q^{m} = y^{3}$

Hui Lin Zhu (2011)

Acta Arithmetica

A note on the diophantine equation $(x^{m} - 1) / (x - 1) = y^{n}$

Maohua Le (1993)

Acta Arithmetica

A Note on the Diophantine Equation x2 + 4D = yp.

Le Maohua (1993)

Monatshefte für Mathematik

A note on the Dirichlet characters of polynomials

Wenpeng Zhang, Weili Yao (2004)

Acta Arithmetica

A Note on the Discontinuous Subgroups of the Orthogonal Group.

Jasbir Singh Chahal (1979)

Mathematische Zeitschrift

A note on the distribution of angles associated to indefinite integral binary quadratic forms

Dragan Đokić (2019)

Czechoslovak Mathematical Journal

To each indefinite integral binary quadratic form $Q$ , we may associate the geodesic in $ℍ$ through the roots of quadratic equation $Q (x, 1)$ . In this paper we study the asymptotic distribution (as discriminant tends to infinity) of the angles between these geodesics and one fixed vertical geodesic which intersects all of them.

A note on the equation $a x^{n} - b y^{n} = c$

Maurice Mignotte (1996)

Acta Arithmetica

A note on the equation ${(x + y + z)}^{2} = x y z$ .

Andreescu, Titu (2002)

General Mathematics

A note on the exact expected length of the $k$ th part of a random partition.

Eriksson, Kimmo (2010)

Integers

A Note on the Exceptional Set for Goldbach's Problem in Short Intervals.

A. Perelli, J. Pintz, J. Kaczorowski (1993)

Monatshefte für Mathematik

A note on the existence of certain infinite families of imaginary quadratic fields

Iwao Kimura (2003)

Acta Arithmetica

A note on the exponential Diophantine equation ${(4 m ² + 1)}^{x} + {(5 m ² - 1)}^{y} = {(3 m)}^{z}$

Jianping Wang, Tingting Wang, Wenpeng Zhang (2015)

Colloquium Mathematicae

Let m be a positive integer. Using an upper bound for the solutions of generalized Ramanujan-Nagell equations given by Y. Bugeaud and T. N. Shorey, we prove that if 3 ∤ m, then the equation ${(4 m ² + 1)}^{x} + {(5 m ² - 1)}^{y} = {(3 m)}^{z}$ has only the positive integer solution (x,y,z) = (1,1,2).

Currently displaying 621 – 640 of 1970

Previous Page 32 Next

Displaying 621 – 640 of 1970

A note on the diophantine equation $(x^{2} - 1) (y^{2} - 1) = {(z^{2} - 1)}^{2}$

A note on the diophantine equation $x ² + b^{y} = c^{z}$

A note on the diophantine equation $x^{2} + b^{Y} = c^{z}$

A note on the Diophantine equation $x^{2} + q^{m} = y^{3}$

A note on the diophantine equation $(x^{m} - 1) / (x - 1) = y^{n}$

A Note on the Diophantine Equation x2 + 4D = yp.

A note on the Dirichlet characters of polynomials

A Note on the Discontinuous Subgroups of the Orthogonal Group.

A note on the distribution of angles associated to indefinite integral binary quadratic forms

A note on the equation $a x^{n} - b y^{n} = c$

A note on the equation ${(x + y + z)}^{2} = x y z$ .

A note on the exact expected length of the $k$ th part of a random partition.

A Note on the Exceptional Set for Goldbach's Problem in Short Intervals.

A note on the existence of certain infinite families of imaginary quadratic fields

A note on the exponential Diophantine equation ${(4 m ² + 1)}^{x} + {(5 m ² - 1)}^{y} = {(3 m)}^{z}$

A note on the extensions of Eratosthenes' sieve.

A note on the Fermat equation

A note on the figure of merit of 2-dimensional rank 2 lattice rules.

A note on the fourth moment of Dirichlet L-functions

A note on the generalized 3n+1 problem

Currently displaying 621 – 640 of 1970