In this paper we bound character sums of the shape ∑ n≤N χ 1 f n χ 2 f n+l , ; where χ1 and χ2 are non-principal multiplicative characters modulo a prime p, f(x) is a real-valued, twice-differentiable ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

Non-linear sequences increase or decrease by different amounts each time. A number pattern is a series of numbers that follow a specific rule. Examples include: odd numbers, even numbers, square ...

If the nth term of a sequence is known, it is possible to work out any number in that sequence. Write the first five terms of the sequence \(3n + 4\). \(n\) represents the position in the sequence.