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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 |
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Thesis .pdf | 394.01 kB | Adobe PDF | View/Open |
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