An alternate approach to solitons for \(\mathbb F_q [t]\)

DOI10.1006/JNTH.1998.2357zbMath1044.11049OpenAlexW2113267621MaRDI QIDQ1293173

Dinesh S. Thakur

Publication date: 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2357

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (4)

Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Integrable systems and number theory in finite characteristic ⋮ Hypergeometric functions for function fields and transcendence ⋮ Transcendence in positive characteristic and special values of hypergeometric functions

Cites Work

• Deligne's reciprocity for function fields
• Gauss sums for function fields
• Gamma functions for function fields and Drinfeld modules
• Zeta measure associated to \({\mathbb{F}}_ q[T\)]
• The \(\Gamma\)-function in the arithmetic of function fields
• \(t\)-motives
• Rank one elliptic \(A\)-modules and \(A\)-harmonic series
• Torsion points on Jacobians of quotients of Fermat curves and \(p\)-adic soliton theory
• Periods of \(t\)-motives and transcendence
• Shtukas and Jacobi sums
• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• ELLIPTIC MODULES
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
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