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We give necessary and sufficient conditions for the existence of primitive algebraic integers with index A in totally complex bicyclic biquadratic number fields where A is an odd prime or… Click to show full abstract
We give necessary and sufficient conditions for the existence of primitive algebraic integers with index A in totally complex bicyclic biquadratic number fields where A is an odd prime or a positive rational integer at most 10. We also determine all these elements and prove that there are infinitely many totally complex bicyclic biquadratic number fields containing elements with index A.
Keywords:
biquadratic number;
number fields;
bicyclic biquadratic;
prime small;
elements prime
Journal Title: Periodica Mathematica Hungarica
Year Published: 2018
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Journal Title: Periodica Mathematica Hungarica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!