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 ...

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.

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 ...