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  On the 8 case of the Sylvester conjecture

Yin, H. (2022). On the 8 case of the Sylvester conjecture. Transactions of the American Mathematical Society, 375 (4), 2705-2728. doi:10.1090/tran/8556.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-FE82-6 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1C5E-B
Genre: Journal Article
Latex : On the $8$ case of sylvester conjecture

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1912.13338.pdf (Preprint), 299KB
 
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https://doi.org/10.1090/tran/8556 (Publisher version)
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 Creators:
Yin, Hongbo1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 Abstract: Let $p\equiv 8\mod 9$ be a prime. In this paper we give a sufficient
condition such that at least one of $p$ and $p^2$ is the sum of two rational
cubes. This is the first general result on the $8$ case of the so-called
Sylvester conjecture.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 24
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1912.13338
DOI: 10.1090/tran/8556
 Degree: -

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Title: Transactions of the American Mathematical Society
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 375 (4) Sequence Number: - Start / End Page: 2705 - 2728 Identifier: -