AbstractEstimates are given for the number of variables required to solve p-adic equations. In particular, systems of homogeneous and of inhomogeneous additive equations, as well as single homogeneous equations in general, are studied
AbstractUsing the procedure of G. I. Arkhipov and A. A. Karatsuba (Math. USSR-Izv. 19 (1982), 321–34...
Abstract. We show that Artin’s conjecture concerning p-adic solubility of Diophantine equations fail...
AbstractThe approximation of p-adic numbers by algebraic numbers of bounded degree is studied. Resul...
Este trabalho é baseado nos artigos de Atkinson, Brüdern e Cook [2] e I. D. Meir [15] que tratam de ...
Let p be a rational prime number. We refine Brauer's elementary diagonalisation argument to show tha...
AbstractIt is known that a system of two additive equations of degreekwith greater than 4kvariables ...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
On p-adic zeros of systems of diagonal forms restricted by a congruence condition par Hemar GODINHO ...
Este texto é sobre solubilidade no corpo dos p-ádicos de sistemas de duas formas aditivas: com grau...
AbstractLet p be an odd prime, let d be a positive integer such that (d,p−1)=1, let r denote the p-a...
AbstractGiven a system of polynomial equations over a finite field, estimating the p-divisibility of...
Let F ∈ Z[X1, . . . ,Xn] be a decomposable form, that is, a homogeneous polynomial of degree d which...
AbstractIn my paper, [Man. Math. 18 (1976), Satz 1.1] I proved a result on simultaneous diophantine ...
AbstractA special case of a conjecture attributed to Artin states that any system of two homogeneous...
AbstractUsing the procedure of G. I. Arkhipov and A. A. Karatsuba (Math. USSR-Izv. 19 (1982), 321–34...
Abstract. We show that Artin’s conjecture concerning p-adic solubility of Diophantine equations fail...
AbstractThe approximation of p-adic numbers by algebraic numbers of bounded degree is studied. Resul...
Este trabalho é baseado nos artigos de Atkinson, Brüdern e Cook [2] e I. D. Meir [15] que tratam de ...
Let p be a rational prime number. We refine Brauer's elementary diagonalisation argument to show tha...
AbstractIt is known that a system of two additive equations of degreekwith greater than 4kvariables ...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
On p-adic zeros of systems of diagonal forms restricted by a congruence condition par Hemar GODINHO ...
Este texto é sobre solubilidade no corpo dos p-ádicos de sistemas de duas formas aditivas: com grau...
AbstractLet p be an odd prime, let d be a positive integer such that (d,p−1)=1, let r denote the p-a...
AbstractGiven a system of polynomial equations over a finite field, estimating the p-divisibility of...
Let F ∈ Z[X1, . . . ,Xn] be a decomposable form, that is, a homogeneous polynomial of degree d which...
AbstractIn my paper, [Man. Math. 18 (1976), Satz 1.1] I proved a result on simultaneous diophantine ...
AbstractA special case of a conjecture attributed to Artin states that any system of two homogeneous...
AbstractUsing the procedure of G. I. Arkhipov and A. A. Karatsuba (Math. USSR-Izv. 19 (1982), 321–34...
Abstract. We show that Artin’s conjecture concerning p-adic solubility of Diophantine equations fail...
AbstractThe approximation of p-adic numbers by algebraic numbers of bounded degree is studied. Resul...