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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
January 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

Published In

Journal of the Institute of Mathematics of Jussieu

DOI

EISSN

1475-3030

ISSN

1474-7480

Publication Date

January 1, 2024

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Browning, T., Pierce, L. B., & Schindler, D. (2024). GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS. Journal of the Institute of Mathematics of Jussieu. 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, January 1, 2024. 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 Jan 1;
Browning, T., et al. “GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS.” Journal of the Institute of Mathematics of Jussieu, Jan. 2024. 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 Jan 1;
Journal cover image

Published In

Journal of the Institute of Mathematics of Jussieu

DOI

EISSN

1475-3030

ISSN

1474-7480

Publication Date

January 1, 2024

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics