Part 6/Series of constants
... Tests for convergence of series of positive terms: The upper bound observations give rise to several "tests" for convergence of series of positive terms. They all are based pretty much on common sense ways to show that the partial sums of the series being tested is bounded are all less than those o ...
... Tests for convergence of series of positive terms: The upper bound observations give rise to several "tests" for convergence of series of positive terms. They all are based pretty much on common sense ways to show that the partial sums of the series being tested is bounded are all less than those o ...
on numbers equal to the sum of two squares in
... tried to prove it, and after about two weeks found an advanced proof using the unique factorization property of Gaussian integers. This proof had the disappointing feature that it did not show how to find the numbers a, b, c, and d, but simply demonstrated their existence. Later we found a construct ...
... tried to prove it, and after about two weeks found an advanced proof using the unique factorization property of Gaussian integers. This proof had the disappointing feature that it did not show how to find the numbers a, b, c, and d, but simply demonstrated their existence. Later we found a construct ...
