Cubic polynomials represented by norm forms
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Alastair James Irving
Abstract
In the present paper, we show that for an irreducible cubic
satisfies the Hasse principle. Our proof uses sieve methods.
Funding source: Engineering and Physical Sciences Research Council
Award Identifier / Grant number: EP/P505666/1
Funding statement: This work was completed as part of my DPhil, for which I was funded by EPSRC grant EP/P505666/1.
Acknowledgements
I am very grateful to the EPSRC for funding me and to my supervisor, Roger Heath-Brown, for all his valuable help and advice.
References
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© 2017 by De Gruyter
Articles in the same Issue
- Frontmatter
- Estimation des dimensions de certaines variétés de Kisin
- A parabolic flow of balanced metrics
- On pliability of del Pezzo fibrations and Cox rings
- The volume of Kähler–Einstein Fano varieties and convex bodies
- The gap phenomenon in parabolic geometries
- Cubic polynomials represented by norm forms
Articles in the same Issue
- Frontmatter
- Estimation des dimensions de certaines variétés de Kisin
- A parabolic flow of balanced metrics
- On pliability of del Pezzo fibrations and Cox rings
- The volume of Kähler–Einstein Fano varieties and convex bodies
- The gap phenomenon in parabolic geometries
- Cubic polynomials represented by norm forms
