Add to ORKGThis thesis offers a clear introduction to p-adic number fields, and the method of Newton polygons to approximate the size of roots of polynomials in the completion of the algebraic closure of p-adic number fields. Ostrowski's theorem is also proved herein. The thesis is intended to serve as an aperitif to further study in the area.  M.S
Abstract. In this short paper we give a popular intro-duction to the theory of p-adic numbers. We gi...
These lecture notes correspond to the course Local Fields from the Master in Mathematics of the Univ...
In this paper we apply Newton polyhedron technique in estimating the p-adic sizes of common zeros of...
This thesis offers a clear introduction to p-adic number fields and the method of Newton polygons to...
Newton polygons are constructions over the p-adic numbers used to find information about the roots o...
International audienceThis document contains the notes of a lecture I gave at the "Journées National...
For n a positive integer, the Prouhet-Tarry-Escott Problem asks for two different sets of n positive...
The classical Newton polygon is a device for computing the fractional power series expansions of alg...
One way to construct the real numbers involves creating equivalence classes of Cauchy sequences of r...
Newton polyhedron associated with a polynomial in n pix, is introduced. Existence of a relationship...
The exponential sum associated with f is defined as S (f; q) = ∑x mod q , where the sum is taken ove...
AbstractLet Fq be the finite field of q elements with characteristic p and Fqm its extension of degr...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
AbstractIn this paper we consider the Newton polygons of L-functions coming from additive exponentia...
It is known that the value of the exponential sum S(f;pα) depends on the estimate of the cardinality...
Abstract. In this short paper we give a popular intro-duction to the theory of p-adic numbers. We gi...
These lecture notes correspond to the course Local Fields from the Master in Mathematics of the Univ...
In this paper we apply Newton polyhedron technique in estimating the p-adic sizes of common zeros of...
This thesis offers a clear introduction to p-adic number fields and the method of Newton polygons to...
Newton polygons are constructions over the p-adic numbers used to find information about the roots o...
International audienceThis document contains the notes of a lecture I gave at the "Journées National...
For n a positive integer, the Prouhet-Tarry-Escott Problem asks for two different sets of n positive...
The classical Newton polygon is a device for computing the fractional power series expansions of alg...
One way to construct the real numbers involves creating equivalence classes of Cauchy sequences of r...
Newton polyhedron associated with a polynomial in n pix, is introduced. Existence of a relationship...
The exponential sum associated with f is defined as S (f; q) = ∑x mod q , where the sum is taken ove...
AbstractLet Fq be the finite field of q elements with characteristic p and Fqm its extension of degr...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
AbstractIn this paper we consider the Newton polygons of L-functions coming from additive exponentia...
It is known that the value of the exponential sum S(f;pα) depends on the estimate of the cardinality...
Abstract. In this short paper we give a popular intro-duction to the theory of p-adic numbers. We gi...
These lecture notes correspond to the course Local Fields from the Master in Mathematics of the Univ...
In this paper we apply Newton polyhedron technique in estimating the p-adic sizes of common zeros of...