- algebra. The
mathematical study of
Diophantine problems that
Diophantus initiated is now
called Diophantine analysis.
While individual equations present...
-
recurrence relation for
generating solutions to
certain instances of
Diophantine equations of the
second degree such as Nx2 + 1 = y2 (called Pell's equation)...
-
inspiration for
later mathematicians working in
analysis and
number theory. In
modern use,
Diophantine equations are
algebraic equations with
integer coefficients...
- In mathematics,
Diophantine geometry is the
study of
Diophantine equations by
means of
powerful methods in
algebraic geometry. By the 20th
century it became...
- In mathematics, a
Diophantine equation is an
equation of the form P(x1, ..., xj, y1, ..., yk) = 0 (usually
abbreviated P(x, y) = 0)
where P(x, y) is a...
-
Fermatschen Satzes. Leipzig: Brandstetter.
Carmichael RD (1915).
Diophantine Analysis. New York: Wiley. van der
Corput JG (1915). "Quelques
formes quadratiques...
-
financial problems and
minimal education,
Rolle studied algebra and
Diophantine analysis (a
branch of
number theory) on his own. He
moved from
Ambert to Paris...
- algebra. The
mathematical study of
Diophantine problems that
Diophantus initiated is now
called Diophantine analysis. An
algebraic number is a
number that...
-
conjecture which has been
called "the most
important unsolved problem in
diophantine analysis". He is a
member of Bourbaki.
Joseph Oesterlé at the Mathematics...
-
described the abc
conjecture as "The most
important unsolved problem in
Diophantine analysis". The abc
conjecture originated as the
outcome of
attempts by Oesterlé...
