Add to ORKGAbstract. In this paper, it has been proved that if n is an odd integer> 3 and h = 1 is the class number of the field Q (√−11) , so the ring of integers Q (√−11) is unique factorization domain and then the diophantine equation x2 + 112k+1 = yn has exactly one family of solution (n, k, x, y)
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
The article gives the parametric solutions of xy = z(y - x2) over any unique factorization domain. A...
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ ...
AbstractIn this paper it has been proved that if q is an odd prime, q≢7 (mod 8), n is an odd integer...
By factorizing the equation x2+2k=yn, n≥3, k-even, in the field Q(i), various theorems regarding the...
It has been proved that if p is an odd prime, y> 1, k ≥ 0, n is an integer greater than or equal ...
Title: Solving diophantine equations by factorization in number fields Author: Bc. Maroš Hrnčiar Dep...
Title: Solving diophantine equations by factorization in number fields Author: Bc. Maroš Hrnčiar Dep...
Bu çalışma, 18-22 Eylül 2009 tarihleri arasında Rethymnon[Yunanistan]’da düzenlenen Exponential dio...
AbstractLet ζn denote a primitive nth root of unity, n ≥ 4. For any integer k, 2 ≤ k ≤ n − 2 it is s...
Erdős and Selfridge [7] proved that a product of consecutive integers can never be a perfect power....
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ ...
AbstractLet m and n be positive integers and p any odd prime. In this paper we consider the Diophant...
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ ...
AbstractLet A1, …, Ar, x1, …, xr, and A be known positive integers. Let f(A) be the number of intege...
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
The article gives the parametric solutions of xy = z(y - x2) over any unique factorization domain. A...
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ ...
AbstractIn this paper it has been proved that if q is an odd prime, q≢7 (mod 8), n is an odd integer...
By factorizing the equation x2+2k=yn, n≥3, k-even, in the field Q(i), various theorems regarding the...
It has been proved that if p is an odd prime, y> 1, k ≥ 0, n is an integer greater than or equal ...
Title: Solving diophantine equations by factorization in number fields Author: Bc. Maroš Hrnčiar Dep...
Title: Solving diophantine equations by factorization in number fields Author: Bc. Maroš Hrnčiar Dep...
Bu çalışma, 18-22 Eylül 2009 tarihleri arasında Rethymnon[Yunanistan]’da düzenlenen Exponential dio...
AbstractLet ζn denote a primitive nth root of unity, n ≥ 4. For any integer k, 2 ≤ k ≤ n − 2 it is s...
Erdős and Selfridge [7] proved that a product of consecutive integers can never be a perfect power....
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ ...
AbstractLet m and n be positive integers and p any odd prime. In this paper we consider the Diophant...
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ ...
AbstractLet A1, …, Ar, x1, …, xr, and A be known positive integers. Let f(A) be the number of intege...
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
The article gives the parametric solutions of xy = z(y - x2) over any unique factorization domain. A...
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ ...