Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • IMPROVING AN INEQUALITY FOR THE DIVISOR FUNCTION

  • Part of
  • JEFFREY P. S. LAY
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 97 / Issue 3 / June 2018
    Published online by Cambridge University Press:
    28 March 2018, pp. 374-381
    Print publication:
    June 2018
    • Article
      • You have access
    • PDF
    • Export citation

  • Using elementary means, we improve an explicit bound on the divisor function due to Friedlander and Iwaniec [Opera de Cribro, American Mathematical Society, Providence, RI, 2010]. Consequently, we modestly improve a result regarding a sieving inequality for Gaussian sequences.

  • Records in the presence of a linear trend

  • Rocco Ballerini, Sidney I. Resnick
  • Journal:
    Advances in Applied Probability / Volume 19 / Issue 4 / December 1987
    Published online by Cambridge University Press:
    01 July 2016, pp. 801-828
    Print publication:
    December 1987

  • Records from the sequence Yn = Xn + cn, n ≧ 1 are analyzed, where {Xn} is a strictly stationary random sequence. We prove various limit theorems for the record rate, record times, and record values. The situation when {Xn} is a stationary Gaussian process is considered with special attention given to Gaussian ARMA sequences. Data for the 400 and 800 metre races are used to illustrate these results.