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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Universal quadratic forms over number fields
 Svoboda, Josef ; Kala, Vítězslav (advisor) ; Hejda, Tomáš (referee)
The aim of this work is to study universal quadratic forms over biquadratic fields. In the thesis we define biquadratic fields and describe their structure. In particular, we study some distinguished (totally positive and aditively indecomposable) elements, their norms and traces. Then we describe the theory of universal quadratic forms and use special elements to find a lower bound for the number of variables of a universal quadratic form over some biquadratic fields.
Detailed record
Universal quadratic forms over number fields
 Svoboda, Josef ; Kala, Vítězslav (advisor) ; Hejda, Tomáš (referee)
The aim of this work is to study universal quadratic forms over biquadratic fields. In the thesis we define biquadratic fields and describe their structure. In particular, we study some distinguished (totally positive and aditively indecomposable) elements, their norms and traces. Then we describe the theory of universal quadratic forms and use special elements to find a lower bound for the number of variables of a universal quadratic form over some biquadratic fields.
Detailed record

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