Work

Special relations between multizeta values and parity results

Year: 2011

Type: preprint

Abstract: We study relations between multizeta values for function fields introduced by D. Thakur. The F_p-span of Thakur's multizeta values is an algebra (Thakur. Shuffle relations for function field multizeta values). In particular, the product ζ(a)ζ(b) is a linear combination of multizeta values. In this paper, several of the conjectures formulated by the author and by D. Thakur for small values or for special families of a about how to write ζ(a)ζ(b) as an F_p-linear combination of multizeta values, are proved. Also, the parity conjecture formulated by Thakur is proved.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1108.4726

Author: Rodríguez, José Alejandro Lara

Institutions: Instituto Politécnico Nacional, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Consejo Nacional de Ciencia y Tecnología, Universidad Autónoma de Yucatán

OpenAlex ID: W1484472088

Cites: 10

Cited by: 1

Related to: 20