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- W103428690 abstract "In analogy with the periods of abelian integrals of differentials of third kind for an elliptic curve defined over a number field, we introduce a notion of periods of third kind for a rank 2 Drinfeld Fq[t]-module rho defined over an algebraic function field and derive explicit formulae for them. When rho has complex multiplication by a separable extension, we prove the algebraic independence of rho-logarithms of algebraic points that are linearly independent over the CM field of rho. Together with the main result in [CP08], we completely determine all the algebraic relations among the periods of first, second and third kinds for rank 2 Drinfeld Fq[t]-modules in odd characteristic." @default.
- W103428690 created "2016-06-24" @default.
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- W103428690 date "2009-09-01" @default.
- W103428690 modified "2023-10-14" @default.
- W103428690 title "Periods of third kind for rank 2 Drinfeld modules and algebraic independence of logarithms" @default.
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