AN ASYMPTOTIC FORMULA FOR THE NUMBER OF SOLUTIONS ...

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF SOLUTIONS OF A NONLINEAR EQUATION WITH PRIME NUMBERS, V A Plaksin.

V. A. Plaksin, “An asymptotic formula for the number of solutions of a ...

V. A. Plaksin, “An asymptotic formula for the number of representations of a natural number by a pair of quadratic forms, the arguments of one of which are ...

An Asymptotic Expression for the Number of Solutions ... - rutgers math

An Asymptotic Expression for the Number of Solutions of a General Class of Diophantine. Equations. Author(s): George E. Andrews. Source: Transactions of the ...

An Asymptotic Formula for the Number of Solutions of a Diophantine ...

Suppose that k,\,s,\,m_1,\,\dots,\,m_k,\,m_1',\,\dots,\,m_s' are fixed positive integers, m is a fixed integer, p is an increasing positive integer, ...

Asymptotic formula for the number of solutions of a diophantine ...

Asymptotic formula for the number of solutions of a diophantine equation · Article PDF · Literature cited · Author information · Additional information · Rights and ...

An Asymptotic for the Number of Solutions to Linear Equations in ...

We extend known results on the number of solutions to a linear equation in at least three prime numbers when the primes involved are required to lie in ...

M. I. Israilov, “An asymptotic formula for the number of solutions of a ...

in x in the half-open interval [0,p) does not exceed some constant q which does not depend on m,n,a,B. ... in integers 0\leqslant x_1,\dots,x_k; y_1,\dots,y_s

An asymptotic formula for the number of solutions of a nonlinear ...

Request PDF | An asymptotic formula for the number of solutions of a nonlinear equation with prime numbers | In the article an asymptotic formula is ...

Asymptotic Expression for the number of solutions to linear ...

Asymptotic Expression for the number of solutions to linear Diophantine equation. · 1. If gcd(a1,…,an)=d>1, then we must have d∣n to get a(n)≠0, ...

An asymptotic formula for the number of prime solutions for ...

In this paper, we study the multivariate linear equations with arbitrary positive integral coefficients. Under the Generalized Riemann ...

An asymptotic formula for the number of solutions of a nonlinear ...

An asymptotic formula for the number of solutions of a nonlinear equation with prime numbers ... TL;DR: In this article, an asymptotic formula for the number of ...

An Asymptotic for the Number of Solutions to Linear Equations in ...

An Asymptotic for the Number of Solutions to. Linear Equations in Prime Numbers from. Specified Chebotarev Classes. Daniel M. Kane. March 9 ...

An asymptotic from below to number of solutions to $xyz + x + y = n

Let n be a positive integer. One can show (not that easy, but still via elementary methods) that the number of triples (x,y,z) of positive ...

AN ASYMPTOTIC FOR THE NUMBER OF SOLUTIONS TO LINEAR ...

We extend results relating to Vinogradov's three primes theorem to provide asymptotic estimates for the number of solutions to a given linear equation in ...

AN ASYMPTOTIC FORMULA IN ADDITIVE NUMBER THEORY-II

number of solutions of the equation n = p + t where t is a positive integer not divisible by any b; and p is a prime exceeds an/logn.

[2406.09256] Integral solutions to systems of diagonal equations

Abstract:In this paper, we obtain an asymptotic formula for the number of integral solutions to a system of diagonal equations.

An asymptotic formula for the number of prime solutions for ...

Download Citation | An asymptotic formula for the number of prime solutions for multivariate linear equations | In this paper, we study the multivariate ...

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF SOLUTIONS ...

DOI:10.1070/IM1982V018N02ABEH001389; Corpus ID: 119898490. AN ASYMPTOTIC FORMULA FOR THE NUMBER OF SOLUTIONS OF A NONLINEAR EQUATION WITH PRIME NUMBERS.

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF ... - Crossref

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF SOLUTIONS OF A NONLINEAR EQUATION WITH PRIME NUMBERS ; Publication. Mathematics of the USSR-Izvestiya.

Asymptotic Formula - an overview | ScienceDirect Topics

Now we turn our attention to the proof of the asymptotic formulas for numbers of zeros. By the Sturmian comparison theorem (Theorem 1.2.4) we have that N[x1; T] ...