Quadratische Diophantische Gleichungen über algebraischen Zahlkörpern

Quadratic diophantine equations over algebraic number fields

Lutz Helfrich

Doctoral thesis

Date of Examination: 2015-03-20

Date of issue: 2015-04-23

Advisor: Brüdern, Jörg Prof. Dr.

Referee: Brüdern, Jörg Prof. Dr.

Referee: Blomer, Valentin Prof. Dr.

Persistent Address: http://hdl.handle.net/11858/00-1735-0000-0022-5FBF-C

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A search bound for the smallest solution of a quadratic diophantine equation over number fields in at least three variables is established.

Keywords: diophantine equations; number field; search bound