Published October 2009
| public
Journal Article
Distribution of powers of the partition function modulo ℓ^j
- Creators
- Brown, Jim L.
- Li, Yingkun
Abstract
In this paper we study Newman's conjecture for powers of the partition function. While this conjecture is known for powers of primes ℓ that are not exceptional for the power under consideration, it is an open problem for exceptional primes. We settle this conjecture in many cases for small powers of the partition function by generalizing results of Ono and Ahlgren. It should be noted our method requires a case by case examination of each power and does not yield a general method for dealing with different powers simultaneously.
Additional Information
© 2009 Elsevier. Received 27 October 2008; revised 17 December 2008. Communicated by James W. Cogdell. Available online 13 February 2009. Supported by a Summer Undergraduate Research Fellowship at California Institute of Technology and the John and Maria Laffin Trust.Additional details
- Eprint ID
- 15108
- DOI
- 10.1016/j.jnt.2008.12.007
- Resolver ID
- CaltechAUTHORS:20090817-144816424
- Caltech Summer Undergraduate Research Fellowship (SURF)
- John and Maria Laffin Trust
- Created
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2009-09-08Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field