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Correction to: Divisibility problems for function fields.
- Source :
-
Acta Mathematica Hungarica . Apr2020, Vol. 160 Issue 2, p519-521. 3p. - Publication Year :
- 2020
-
Abstract
- In [3], we derived three results in additive combinatorics for function fields. The proofs of these results depended on a recent bound for the large sieve with sparse sets of moduli for function fields by the first and third-named authors in [1]. Unfortunately, they discovered an error in this paper and demonstrated in [2] that this result cannot hold in full generality. In the present paper, we formulate a plausible conjecture under which the said three results in [3] remain true and the method of proof goes through using the same arguments. However, these results are now only conditional and still await a full proof. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 160
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 142186027
- Full Text :
- https://doi.org/10.1007/s10474-020-01017-6