✦ LIBER ✦

On the average orders of the error term in the Dirichlet divisor problem

✍ Scribed by Jun Furuya

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 206 KB
Volume: 115
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.07.007

No coin nor oath required. For personal study only.

✦ Synopsis

Let (x) be the error term in the Dirichlet divisor problem. The purpose of this paper is to study the difference between two kinds of mean value formulas of (x), that is, the mean value formulas x 1 (u) k du and n x (n) k with a natural number k. In particular we study the case k = 2 and 3 in detail.

📜 SIMILAR VOLUMES

On the convergence of difference approxi

On the convergence of difference approximations in the Dirichlet problem

✍ Yu.N. Valitskii 📂 Article 📅 1974 🏛 Elsevier Science ⚖ 170 KB

The problem of averaging random structur

The problem of averaging random structures in terms of distribution functions

✍ V.L. Berdichevskii 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 911 KB

On the Sharpness of Estimates in Terms o

On the Sharpness of Estimates in Terms of Averages

✍ W. Dickmeis; R. J. Nessel; E. Van Wickeren 📂 Article 📅 1984 🏛 John Wiley and Sons 🌐 English ⚖ 380 KB

On the Continuous Dependence of the Exte

On the Continuous Dependence of the Exterior Dirichlet Problem on the Boundary

✍ Peter Hähner 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 267 KB 👁 2 views

Communicated by B

On the dirichlet problem for second orde

On the dirichlet problem for second order elliptic equations with coefficients singular at the boundary

✍ Martin Schechter 📂 Article 📅 1960 🏛 John Wiley and Sons 🌐 English ⚖ 315 KB 👁 2 views

On the fractional calculus in abstract s

On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order

✍ Hussein A.H. Salem 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 923 KB

In the following pages, based on the linear functional over a Banach space E and on the definition of fractional integrals of real-valued functions, we define the fractional Pettisintegrals of E-valued functions and the corresponding fractional derivatives. Also, we show that the well-known properti