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 ...

Quadratic sequences are sequences that include an \(n^2\) term. They can be identified by the fact that the differences in-between the terms are not equal, but the second differences between terms are ...

The \(n\)th term for a quadratic sequence has a term that contains \(n^2\). Terms of a quadratic sequence can be worked out in the same way. Write the first five terms of the sequence \(n^2 + 3n - 5\) ...

Abstract: The maximum-length sequences, also called m-sequences, have received a lot of attention since the late 1960s. In terms of linear-feedback shift register (LFSR) synthesis they are usually ...

Abstract: To increase the types of chaos, and improve some characteristics of chaos, a new method of unary quadratic nonlinear transformation is proposed. Under the premise of not destroying the ...