Add to ORKGThe cardinality of the set of solutions to a system of congruence equations module a prime power is estimated by applying the Newton polyhedral method. Estimates to this value are obtained for an n-tuple of polynomials f = _ (f1, ... ,fn) in coordinates -f = (xl' ... ,xn) with coefficients in Zp. The discussion is 011 the estimates corresponding to the polynomials f that are linear in x and a specific pair of quadratics in Zp(x,y
summary:Let $K$ be a number field defined by an irreducible polynomial $F(X)\in \mathbb Z[X]$ and $\...
This project is concerned with the set of primes modulo which some monic, irreducible polynomial ove...
We study the solutions of certain congruences in different rings. The congruences include a^p-1 ≡ 1...
The set of solutions to congruence equations modulo a prime power associated with the polynomial f(x...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
Let x = (x1, x2,..., xn) be a vector in the space ℚn with ℚ field of rational numbers and q be a pos...
Let f = f(x,y) be a function of two variables. Let q be an integer and let S(f;q) = ∑x mod qe 2πif(x...
Let p be a prime and f (x, y) be a polynomial in Zp[x, y]. It is defined that the exponential sums a...
In this snapshot, we will consider the problem of finding the number of solutions to a given system ...
Method of estimating the cardinality of the set of common solution to congruence equation associate...
Newton polyhedron associated with a polynomial in n pix, is introduced. Existence of a relationship...
It is known that the value of the exponential sum S(f;pα) depends on the estimate of the cardinality...
The classical Newton polygon is a device for computing the fractional power series expansions of alg...
This thesis offers a clear introduction to p-adic number fields, and the method of Newton polygons t...
The exponential sum associated with f is defined as S (f; q) = ∑x mod q , where the sum is taken ove...
summary:Let $K$ be a number field defined by an irreducible polynomial $F(X)\in \mathbb Z[X]$ and $\...
This project is concerned with the set of primes modulo which some monic, irreducible polynomial ove...
We study the solutions of certain congruences in different rings. The congruences include a^p-1 ≡ 1...
The set of solutions to congruence equations modulo a prime power associated with the polynomial f(x...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
Let x = (x1, x2,..., xn) be a vector in the space ℚn with ℚ field of rational numbers and q be a pos...
Let f = f(x,y) be a function of two variables. Let q be an integer and let S(f;q) = ∑x mod qe 2πif(x...
Let p be a prime and f (x, y) be a polynomial in Zp[x, y]. It is defined that the exponential sums a...
In this snapshot, we will consider the problem of finding the number of solutions to a given system ...
Method of estimating the cardinality of the set of common solution to congruence equation associate...
Newton polyhedron associated with a polynomial in n pix, is introduced. Existence of a relationship...
It is known that the value of the exponential sum S(f;pα) depends on the estimate of the cardinality...
The classical Newton polygon is a device for computing the fractional power series expansions of alg...
This thesis offers a clear introduction to p-adic number fields, and the method of Newton polygons t...
The exponential sum associated with f is defined as S (f; q) = ∑x mod q , where the sum is taken ove...
summary:Let $K$ be a number field defined by an irreducible polynomial $F(X)\in \mathbb Z[X]$ and $\...
This project is concerned with the set of primes modulo which some monic, irreducible polynomial ove...
We study the solutions of certain congruences in different rings. The congruences include a^p-1 ≡ 1...