In this short note we study the existence and number of solutions in the set of integers (Z) and in the set of natural numbers (N) of Diophantine equations of second degree with two unknowns
AbstractLet A, B, G0, G1 be integers, and Gn = AGn − 1 − BGn − 2 for n ≥ 2. Let further S be the set...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
In this short note we study the existence and number of solutions in the set of integers (Z) and in ...
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integ...
In this note we study the diophantine equation (1). 2000 Mathematical Subject Classification:11D61 I...
We study the Diophantine equation formula here in integers x, y > 1, n > 2 and q [gt-or-equa...
Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine e...
We study the Diophantine equation xm−1 x−1 = yn−1 y−1 in integers x > 1, y > 1, m > 1, n &g...
Let D1 and D2 be coprime positive integers and let k be an odd positive integer coprime with D1D2. W...
AbstractIn this paper it has been proved that if q is an odd prime, q≢7 (mod 8), n is an odd integer...
Abstract. In this paper, we completely solve the simultaneous Diophantine equations x2 − az2 = 1, y2...
Let be a polynomial in :P P t \ 0,1.X In this paper, we consider the number of polynomial...
Komatsu† Abstract. We determine the number of solutions of the equation a1x1+a2x2+ · · ·+amxm = b i...
gers and rational numbers respectively. Let D1, D2 ∈ N be odd, and let N(D1, D2) denote the number o...
AbstractLet A, B, G0, G1 be integers, and Gn = AGn − 1 − BGn − 2 for n ≥ 2. Let further S be the set...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
In this short note we study the existence and number of solutions in the set of integers (Z) and in ...
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integ...
In this note we study the diophantine equation (1). 2000 Mathematical Subject Classification:11D61 I...
We study the Diophantine equation formula here in integers x, y > 1, n > 2 and q [gt-or-equa...
Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine e...
We study the Diophantine equation xm−1 x−1 = yn−1 y−1 in integers x > 1, y > 1, m > 1, n &g...
Let D1 and D2 be coprime positive integers and let k be an odd positive integer coprime with D1D2. W...
AbstractIn this paper it has been proved that if q is an odd prime, q≢7 (mod 8), n is an odd integer...
Abstract. In this paper, we completely solve the simultaneous Diophantine equations x2 − az2 = 1, y2...
Let be a polynomial in :P P t \ 0,1.X In this paper, we consider the number of polynomial...
Komatsu† Abstract. We determine the number of solutions of the equation a1x1+a2x2+ · · ·+amxm = b i...
gers and rational numbers respectively. Let D1, D2 ∈ N be odd, and let N(D1, D2) denote the number o...
AbstractLet A, B, G0, G1 be integers, and Gn = AGn − 1 − BGn − 2 for n ≥ 2. Let further S be the set...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
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