Determination of algebraic relations among special zeta values in positive characteristic

• Autores: Chieh-Yu Chang, Jing Yu
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 216, Nº 1, 2007, págs. 321-345
• Idioma: inglés
• DOI: 10.1016/j.aim.2007.05.012
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• Resumen

  • Abstract As an analogue to special values at positive integers of the Riemann zeta function, we consider Carlitz zeta values ?C(n) at positive integers n. By constructing t-motives after Papanikolas, we prove that the only algebraic relations among these characteristic p zeta values are those coming from the Euler¿Carlitz relations and the Frobenius pth power relations.