Energy bounds, bilinear forms and their applications in function fields

Energy bounds, bilinear forms and their applications in function fields

We obtain function field analogues of recent energy bounds on modular square roots and modular inversions and apply them to bounding some bilinear forms and to some questions regarding smooth and square-free polynomials in residue classes.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Finite fields and their applications 2022-09, Vol.82, p.102048, Article 102048
Hauptverfasser: Bagshaw, Christian, Shparlinski, Igor E.
Format: Artikel
Sprache:eng
Schlagworte:
Additive energy
Bilinear forms
Function field
Modular inversions
Modular roots
Smooth
Square-free
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We obtain function field analogues of recent energy bounds on modular square roots and modular inversions and apply them to bounding some bilinear forms and to some questions regarding smooth and square-free polynomials in residue classes.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2022.102048