Please use this identifier to cite or link to this item: http://hdl.handle.net/2307/40420
Title: ON SCHINZEL-WOJCIK PROBLEM
Authors: Fouad, Mohamed Anwar Mohamed
Advisor: PAPPALARDI, FRANCESCO
Keywords: WOJCIK PROBLEM
ARTIN'S CONJECTURE
Issue Date: 18-Apr-2018
Publisher: Università degli studi Roma Tre
Abstract: The Schinzel–Wojcik problem consists in determming if Given a1, · · · , ar ∈ Q∗ \ {±1}, there exist infinitely many primes p such that they have the same multiplicative order modulo p. In this thesis, we prove, under the assumption of Hypothesis H of Schinzel, necessary and sufficient conditions for the existence of infinitely many primes modulo which all the given numbers are simultaneously primitive roots and we introduce a possible complete characterization, under Hypothesis H of the r–touples of rational numbers supported at odd primes for which the Schinzel-W´ojcik problem has affimative answer. Consequently, we study the Schinzel–Wojcik problem on average.
URI: http://hdl.handle.net/2307/40420
Access Rights: info:eu-repo/semantics/openAccess
Appears in Collections:Dipartimento di Matematica e Fisica
T - Tesi di dottorato

Files in This Item:
File Description SizeFormat
Thesis .pdf394.01 kBAdobe PDFView/Open
SFX Query Show full item record Recommend this item

Page view(s)

22
checked on Sep 24, 2022

Download(s)

7
checked on Sep 24, 2022

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.