Function Field Arithmetic

By Dinesh S. Thakur. 2004

297 citations recorded by the source corpus.

Subfields: Algebra and Number Theory

View Paper: https://www.semanticscholar.org/paper/cbe9adef7dfb4bdf25ff32b40c97159ecb9a5787

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In Algebra and Number Theory

1. A. M. Uludağ
2. R. Holzapfel
3. Masaaki Yoshida
4. F. Pellarin

Citations in the corpus

• Arithmetic and Geometry Around Hypergeometric Functions (2007, methodology): “In contrast to Goss’s zeta function defined on natural numbers and interpolated onto Zp (see [14, 39]), the above ζ is purely an object of the characteristic p arithmetic.”
• An effective criterion for Eulerian multizeta values in positive characteristic (2014, unknown): “, sr), defined by Thakur [T04], are generalizations of Carlitz zeta values.”
• Values of certain L-series in positive characteristic (2011, background): “Indeed, let us recall the formula (see for example Thakur’s book [36])”
• Shuffle Relations for Function Field Multizeta Values (2009, background): “(For general background on function field arithmetic, we refer to [5, 9].”