Category
page 1Diophantine geometry
Birch and Swinnerton-Dyer conjecture
conjecture
Faltings' theorem
theorem
Diophantine geometry
branch of number theory concerned with integer solutions to Diophantine equations

local zeta function
function whose logarithmic derivative is a generating function for the number of solutions of a set of equations defined over a finite field
Mordell–Weil theorem
theorem
Fermat curve
mathematical concept
rational point
in algebraic geometry, a point with rational coordinates
Chevalley–Warning theorem
theorem in number theory
Pythagorean quadruple
four integers where the sum of the squares of three equal the square of the fourth

Siegel's lemma
Theorem
integer lattice
lattice group in Euclidean space whose points are integer n-tuples
Igusa zeta function
type of generating function in mathematics
Tate conjecture
conjecture in algebraic geometry