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An elementary heuristic for Hardy-Little...

Táfula, Christian...

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An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture by Táfula, Christian ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	24-08-2015
Summary	The goal of this paper is to describe an elementary combinatorial heuristic that predicts Hardy and Littlewood's extended Goldbach's conjecture. We examine common features of other heuristics in additive prime number theory, such as Cram\'er's model and density-type arguments, both of which our heuristic draws from. Apart from the prime number theorem, our argument is entirely elementary, in the sense of not involving complex analysis. The idea is to model sums of two primes by a hypergeometric probability distribution, and then draw heuristic conclusions from its concentration behavior, which follows from Hoeffding-type bounds.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1508.05702

Citation

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AMA 11th EditionReferences

Táfula, Christian. An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture. N.A. August 24, 2015. Accessed August 16, 2025. https://online.provdatabase.com/cite/18903

APA 7th EditionReferences

Táfula, Christian. (2015). An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture. N.A. https://online.provdatabase.com/cite/18903

Chicago 17th EditionReferences

Táfula, Christian. An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture. N.A. 2015. https://online.provdatabase.com/cite/18903

HarvardReferences

Táfula, Christian. (2015). An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18903. (Accessed 16 August 2025).

Harvard AustraliaReferences

Táfula, Christian, 2015, An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture, N.A, viewed 16 August 2025, <https://online.provdatabase.com/cite/18903>

MLA 9th EditionWorks Cited

Táfula, Christian. An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18903.

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