Let $\{X_{t}\}$ be a strictly stationary sequence of m-dependent random variables on (Ω, Σ, P) with $X_{1}$ ∼ F. In this paper the asymptotic distribution of the ...

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 ...

Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...

Provides a rigorous treatment of topics covered in Calculus 1 and 2. Topics include convergent sequences; continuous functions; differentiable functions; Darboux sums, Riemann sums, and integration; ...

The ability of a gene to keep functioning despite mutations shows a surprising link to fundamental math. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it ...