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- W60767623 abstract "The thesis consists of four chapiters. The first chapiter is an introduction, where we formulate new versions of generalization of Artin’s conjecture for primitive roots and also mention some existing formulations. In chapiter two we proved the following result: given a CM elliptic curve E defined over a number field, we have an asymptotic formula counting the number of prime ideals p with norm≤ x, such that the reduction of E modulo p is cyclic, where in the formula the error term estimate is given with effectively computable constant. In chapiter three we give an elementary argument of Bilharz’s example. Depending on the interests of the readers, chapiter three and four can be read independently. In chapiter four we include some examples, either in the new formulation or in existing formulation." @default.
- W60767623 created "2016-06-24" @default.
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- W60767623 date "2005-01-01" @default.
- W60767623 modified "2023-09-27" @default.
- W60767623 title "Generalizations of Artin's conjecture for primitive roots" @default.
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