GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS
Publication
, Journal Article
Browning, T; Pierce, LB; Schindler, D
Published in: Journal of the Institute of Mathematics of Jussieu
November 1, 2024
We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy-Littlewood circle method over number fields.
Duke Scholars
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Published In
Journal of the Institute of Mathematics of Jussieu
DOI
EISSN
1475-3030
ISSN
1474-7480
Publication Date
November 1, 2024
Volume
23
Issue
6
Start / End Page
2859 / 2912
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
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ICMJE
MLA
NLM
Browning, T., Pierce, L. B., & Schindler, D. (2024). GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS. Journal of the Institute of Mathematics of Jussieu, 23(6), 2859–2912. https://doi.org/10.1017/S1474748024000161
Browning, T., L. B. Pierce, and D. Schindler. “GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS.” Journal of the Institute of Mathematics of Jussieu 23, no. 6 (November 1, 2024): 2859–2912. https://doi.org/10.1017/S1474748024000161.
Browning T, Pierce LB, Schindler D. GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS. Journal of the Institute of Mathematics of Jussieu. 2024 Nov 1;23(6):2859–912.
Browning, T., et al. “GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS.” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 6, Nov. 2024, pp. 2859–912. Scopus, doi:10.1017/S1474748024000161.
Browning T, Pierce LB, Schindler D. GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS. Journal of the Institute of Mathematics of Jussieu. 2024 Nov 1;23(6):2859–2912.
Published In
Journal of the Institute of Mathematics of Jussieu
DOI
EISSN
1475-3030
ISSN
1474-7480
Publication Date
November 1, 2024
Volume
23
Issue
6
Start / End Page
2859 / 2912
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics