 About 1,440 results  books.google.com Diophantine Equation above procedure can be simplified by noting that the two
leftmost columns are offset by one entry ... EQUATION2ND POWERs,
DIOPHANTINE EQUATION–3RD POWERS, DIOPHANTINE EQUATION4TH
POWERs, ... 

 books.google.com ... green, yellow, purple, the square of green, and yellow balls, then sum of both is
equal to the 3rd power of purple balls ... Find the values of x, y, z of the
Diophantine equation x2 + y2 = 20z2 (x, y, z are the whole numbers) *) Find the
values of ... 

 books.google.com Diophantine equation Mathematics, an algebraic equation with integer
coefficients and two or more variables, ... DiophantUS 3rd century ad Greek
mathematician; called the father of algebra for his use of ... a unit of measure of
the refractive power of a lens, equivalent to the power of a lens with a focal length
of one meter; ... 

 books.google.com [16] Danicic, I. The solubility of certain Diophantine inequalities. Proc. London
Math. Soc. ... [19] Davenport, H. On Waring's problem for fifth and sixth powers.
American J. Math., 64, ... Springer Verlag, 3rd edition, 2000. [25] Davenport, H.
and ... 

 books.google.com A Diophantine equation (named in honour of the 3rdcentury Greek
mathematician Diophantus of Alexandria) is an ... the variables to be integers
only, i.e. an equation involving only sums, products, and powers in which all the
constants are ... 

 books.google.com Diophantine equations involve only sums, products, and powers in which all the
constants are integers and the only solutions of ... Named in honour of the 3rd
century Greek mathematician Diophantus of Alexandria, these equations were
first ... 

 books.google.com ... applications of algebra to regular polygons; and practical problems, including
Diophantine equations, a 3rdcentury Greek analytical method ... Abu Kamil went
beyond the simple x2 to arrive at higher powers of numbers, up to the power X8. 

 books.google.com J. 8, 149–159 (1961) Guy, R.K.: Unsolved Problems in Number Theory. Springer,
Berlin (1981); 2nd ed. 1994, 3rd ed. 2004 Gyires ... (Debr.) 52, 1–31 (1998) Gy
̋ory, K.: Power values of products of consecutive integers and ... 237–265. de
Gruyter, Berlin (1999) Gy ̋ory, K.: Solving Diophantine equations by Baker's
theory. 

 books.google.com K. MacMillan and J. Sondow, Divisibility of power sums and the generalized Erd
̋os–Moser equation, Elemente Math. 67 (2012), 182–186. ... 77 (2008), 589–
607. P. Moree, Diophantine equations of Erd ̋os–Moser type, Bull. Austral. Math. 

 books.google.com As a background to (1.1) it is illuminating to look at how the special equations (
2.1) are solved by current methods of algebraic number ... We have y + i = d(a +
bi)3 with a, b € Z. But d is anyway a 3rd power in Z[i] and so may be ignored here. 

 