Search Results

You are looking at 1 - 10 of 25 items for :

  • "Diophantine equations" x
  • All content x
Clear All

. , revised by Heath-Brown , D. R. ( Oxford , 1986 ). [5] Viola , C. 1973 On the diophantine equation and Acta Arith

Restricted access

References [1] Cao , Z. F. 1990 On the Diophantine equation Chinese Science Bulletin 35

Restricted access

Abstract  

For the number of integer solutions of the title equation, withW≤;x (x a large parameter), an asymptotics of the form Ax log x + Bx + O(x 1/2 (log x)3 (loglog x)2) is established. This is achieved in a general setting which furnishes applications to some other natural arithmetic functions.

Restricted access

purely exponential Diophantine equation (1.1) A x   +   B y   =   C z , x , y , z   ∈   ℕ for some triples ( A,B,C ) with A + B = C 2 (see [ 1,3,4,6,7,9–13 ]). See also the survey paper [ 8 ], for more details about the equation (1.1) . For example

Restricted access
Acta Mathematica Hungarica
Authors: J. C. Parnami, M. K. Agrawal, and A. R. Rajwade
Restricted access

Abstract  

Let a and b given unequal positive integers; it is desired to determine the positive integer solutions n and x of the equation of the title. Some special cases have recently been considered, and here some general results and conjectures are presented.

Restricted access