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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

15 votes

"Make all numbers equal" game

The problem is soluble for real numbers, and indeed for any tuple $(x_1, \dots, x_n)$ with $n$ even and $x_i$ real (or in any abelian group) for all $i$. (For impossibility for odd-length tuples see t …
jackdean's user avatar
  • 193
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172 views

Elementary method for finding integer solutions for certain types of elliptic curve

There are some problems in high school Olympiad that ask to find integer solutions of the form $Q(x^2) = dy^2 (*)$ where $Q$ is a quadratic polynomial and $d$ is an absolute constant and quite often, …
jackdean's user avatar
  • 193