2005, English, Article, Journal or magazine article edition: On the average value of divisor sums in arithmetic progressions Banks, William D; Heath-Brown, Roger; Shparlinski, Igor E

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Bookmark: http://trove.nla.gov.au/version/49530557
Physical Description
  • journal article
Published
  • Oxford University Press, 2005
Language
  • English

Edition details

Title
  • On the average value of divisor sums in arithmetic progressions
Author
  • Banks, William D
  • Heath-Brown, Roger
  • Shparlinski, Igor E
Other Contributors
  • Macquarie University. Department of Computing
Published
  • Oxford University Press, 2005
Physical Description
  • journal article
Subjects
Summary
  • We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modulus and show that "on average" these sums are close to the expected value. We also give applications of our result to sums of the divisor function twisted with characters (both additive and multiplicative) taken on the values of various functions, such as rational and exponential functions; in particular, we obtain upper bounds for such twisted sums.
  • 25 page(s)
Language
  • English
Related Resource
Identifier
  • mq:2379
  • ISSN:1687-0247
  • mq-rm-2005002909

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