Published August 31, 2011
| Version Submitted
Discussion Paper
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A structure theorem in probabilistic number theory
Creators
Abstract
We prove that if two additive functions (from a certain class) take large values with roughly the same probability then they must be identical. This is a consequence of a structure theorem making clear the inter-relation between the distribution of an additive function on the integers, and its distribution on the primes.
Additional Information
The author is partially supported by a NSERC PGS-D award.Attached Files
Submitted - 1109.0033.pdf
Files
1109.0033.pdf
Additional details
Identifiers
- Eprint ID
- 87126
- Resolver ID
- CaltechAUTHORS:20180614-142437720
Related works
- Describes
- http://arxiv.org/abs/1109.0033 (URL)
Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
Dates
- Created
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2018-06-14Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field