Periods of \(t\)-motives and transcendence
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Publication:1362091
DOI10.1215/S0012-7094-97-08820-7zbMath0887.11028MaRDI QIDQ1362091
Publication date: 29 October 1997
Published in: Duke Mathematical Journal (Search for Journal in Brave)
solitonscomplex multiplicationKorteweg-de Vries equationgeometric \(t\)-modulesgeometric gamma functiontranscendence periodstranscendency properties of special values of gamma functions associated to the Carlitz moduleuniformizability results
Complex multiplication and moduli of abelian varieties (11G15) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of elliptic and abelian functions (11J89)
Related Items
Algebraic independence of arithmetic gamma values and Carlitz zeta values, Special functions and Gauss-Thakur sums in higher rank and dimension, Effective rigid analytic trivializations for Drinfeld modules, A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives, Frobenius difference equations and difference Galois groups, An effective criterion for Eulerian multizeta values in positive characteristic, On a conjecture of Furusho over function fields, Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields, Recent developments in the theory of Anderson modules, Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms, Integrable systems and number theory in finite characteristic, Tensor powers of rank 1 Drinfeld modules and periods, Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves, An alternate approach to solitons for \(\mathbb F_q [t\)]
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