On higher-power moments of Δ (x)

By Wenguang Zhai. 2004

83 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/62af2a9c2db358c4de949f328c3441c4384893ff

Citations in the corpus

• On higher-power moments of $\Delta(x)$(III) (2008, unknown): “Define ∆(x) := ∑ n≤x d(n) − x log x − (2γ − 1)x, (1.1) P (x) := ∑ n≤x r(n) − πx, (1.2) A(x) := ∑ n≤x a(n), (1.3) E(t) := ∫ t 0 |ζ(1 2 + iu)|2du − t log(t/2π) − (2γ − 1)t. (1.4) Suppose f : N → R is any function such that f(n) ≪ nε, k ≥ 2 is a fixed integer.”