Ali Hakami

Small Zeros of Quadratic Congruences to a Prime Power Modulus Ali Hakami

A quadratic form is a homogeneous polynomial of degree two in a number of variables. Quadratic forms occupy a central place in various branches of mathematics, including Number Theory, Linear Algebra, Group Theory, Differential Topology and Lie Theory. In this book we study the quadratic forms from side of Analytic Number Theory. In particular we look for the small zeros of quadratic forms modulus p prime to the power positive integer m.