Sums of two Squares and Almost Squares

Authors

Tsz Ho Chan, University of Memphis

Document Type

Lecture

Publication Date

11-5-2009

Abstract

Sums of two squares are integers of the form n = a2 + b2.Almost squares are integers of the form n = ab where a and b are close to each other. In this talk, we will discuss the following question: what are the nearest sums of two squares and almost squares to any given positive real number α? This turns out to be related to the distribution of n2α (mod 1).

Relational Format

presentation

Recommended Citation

Chan, Tsz Ho, "Sums of two Squares and Almost Squares" (2009). Algebra/Number Theory Seminar. 46.
https://egrove.olemiss.edu/math_algebra_number_theory/46