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The Diophantine equation x^2+k=y^3, which is also an elliptic curve. The general equation is still the focus of ongoing study.

Solve the Pell equation x^2-92y^2=1 in integers. The smallest solution is x=1151, y=120.

sum_(i=1)^n((partialu)/(partialx_i))^2=1.

An elliptic partial differential equation given by del ^2psi+k^2psi=0, (1) where psi is a scalar function and del ^2 is the scalar Laplacian, or del ^2F+k^2F=0, (2) where F ...

If the first case of Fermat's last theorem is false for the prime exponent p, then 3^(p-1)=1 (mod p^2).

Solving the wave equation on a disk gives a solution in terms of Bessel functions.

There are a number of point processes which are called Hawkes processes and while many of these notions are similar, some are rather different. There are also different ...

Abstract Algebra

Origami is the Japanese art of paper folding. In traditional origami, constructions are done using a single sheet of colored paper that is often, though not always, square. ...

The tower of Hanoi (commonly also known as the "towers of Hanoi"), is a puzzle invented by E. Lucas in 1883. It is also known as the Tower of Brahma puzzle and appeared as an ...