GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS

IF 1.1 2区 数学 Q1 MATHEMATICS Journal of the Institute of Mathematics of Jussieu Pub Date : 2024-04-11 DOI:10.1017/s1474748024000161
Tim Browning, Lillian B. Pierce, Damaris Schindler
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Abstract

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.
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完全实数域上的广义二次型
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来源期刊
CiteScore
2.40
自引率
0.00%
发文量
54
审稿时长
>12 weeks
期刊介绍: The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.
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EXCEPTIONAL SIMPLE REAL LIE ALGEBRAS AND VIA CONTACTIFICATIONS COHOMOLOGIE DE DE RHAM DU REVÊTEMENT MODÉRÉ DE L’ESPACE DE DRINFELD TWISTED GAN–GROSS–PRASAD CONJECTURE FOR CERTAIN TEMPERED L-PACKETS WILES DEFECT OF HECKE ALGEBRAS VIA LOCAL-GLOBAL ARGUMENTS KOBAYASHI-OCHIAI’S FINITENESS THEOREM FOR ORBIFOLD PAIRS OF GENERAL TYPE
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