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- W804810775 abstract "We show that there exists a connection between two types of objects: some kind of resultantal varieties over C, from one side, and varieties of twists of the tensor powers of the Carlitz module such that the order of 0 of its L-functions at infinity is a constant, from another side. Obtained results are only a starting point of a general theory. We can expect that it will be possible to prove that the order of 0 of these L-functions at 1 (i.e. the analytic rank of a twist) is not bounded --- this is the function field case analog of the famous conjecture on non-boundedness of rank of twists of an elliptic curve over Q. The paper contains a calculation of a non-trivial polynomial determinant." @default.
- W804810775 created "2016-06-24" @default.
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- W804810775 date "2012-05-13" @default.
- W804810775 modified "2023-09-27" @default.
- W804810775 title "The simplest type of analytic rank of twisted tensor powers of the Carlitz module" @default.
- W804810775 hasPublicationYear "2012" @default.
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