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Title: | Orientations, break Divisors and compactified Jacobians | Authors: | CHRIST, KARL | Advisor: | CAPORASO, LUCIA | Keywords: | COMBINATORIAL ALGEBRIC GEOMETRYRY | Issue Date: | 12-Apr-2018 | Publisher: | Università degli studi Roma Tre | Abstract: | The Schinzel–W´ojcik 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–W´ojcik problem on average. | URI: | http://hdl.handle.net/2307/40412 | Access Rights: | info:eu-repo/semantics/openAccess |
Appears in Collections: | Dipartimento di Matematica e Fisica T - Tesi di dottorato |
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