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Universal quadratic forms and indecomposables over biquadratic fields

  • Published:2018-10-12 Issue:3 Volume:292 Page:540-555
  • ISSN:0025-584X
  • Container-title:Mathematische Nachrichten
  • language:en
  • Short-container-title:Math. Nachr.

Author:

Čech Martin1,Lachman Dominik1,Svoboda Josef1,Tinková Magdaléna1ORCID,Zemková Kristýna1

Affiliation:

1. Charles University, Faculty of Mathematics and Physics; Department of Algebra; Sokolovská 83, 18600 Praha 8 Czech Republic

Funder

Grantová Agentura, Univerzita Karlova

Grantová Agentura České Republiky

Univerzita Karlova v Praze

Publisher

Wiley

Subject

General Mathematics

Reference20 articles.

1. M. Bhargava J. Hanke Universal quadratic forms and the 290-theorem

2. Number fields without n-ary universal quadratic forms;Blomer;Math. Proc. Cambridge Philos. Soc.,2015

3. Ternary universal integral quadratic forms;Chan;Japan. J. Math. (N.S.),1996

4. Universality of a non-classical integral quadratic form over Q[5];Deutsch;Acta Arith.,2009

5. Indecomposable totally positive numbers in real quadratic orders;Dress;J. Number Theory,1982

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lifting problem for universal quadratic forms over totally real cubic number fields;Bulletin of the London Mathematical Society;2023-12-26

2. Pythagoras numbers of orders in biquadratic fields;Expositiones Mathematicae;2022-12

3. Trace and norm of indecomposable integers in cubic orders;The Ramanujan Journal;2022-11-29

4. Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields;International Mathematics Research Notices;2022-03-30

5. Composition of binary quadratic forms over number fields;Mathematica Slovaca;2021-12-01
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