Symmetric diophantine approximation over function fields

Leiden Repository

Symmetric diophantine approximation over function fields

Type: Doctoral Thesis
Title: Symmetric diophantine approximation over function fields
Author: Zhuang, Weidong
Publisher: Mathematical Institute, Faculty of Science, Leiden University
Issue Date: 2015-12-03
Keywords: Mason' s theorem
Geometry of numbers
Discriminant
Resultant
Height
Root seperation
Abstract: With focus on study of binary forms and their discriminants and resultants over function fields, we developed an analogue of the geometry of numbers and generalized Mason's ABC theorem. Then we proved a conjecture, which is possibly first formulated by Evertse, over the rational function field and effectively bounded S-distance of algebraic functions, and improved results of root separation problem.
Description: Promotor: P. Stevenhagen, Co-Promotor: J.H. Evertse
With Summary in Dutch
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Zhuang, W., 2015, Doctoral Thesis, Leiden University
Handle: http://hdl.handle.net/1887/36589
 

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application/pdf Title Pages_Contents_Introduction 367.3Kb View/Open
application/pdf Chapter 1 315.0Kb View/Open
application/pdf Chapter 2 356.9Kb View/Open
application/pdf Chapter 3 305.3Kb View/Open
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application/pdf Chapter 8 362.1Kb View/Open
application/pdf Bibliography 187.7Kb View/Open
application/pdf Abstract 247.7Kb View/Open
application/pdf Summary in Dutch 284.4Kb View/Open
application/pdf Acknowledgements_Curriculum Vitae_Index 258.0Kb View/Open
application/pdf Propositions 230.8Kb View/Open

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