Zero distribution of v-adic multiple zeta values over 𝔽q(t)

DOI10.1142/S1793042122500105zbMath1497.11221arXiv1912.10365OpenAlexW3196665127MaRDI QIDQ5025442

Qibin Shen

Publication date: 2 February 2022

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

Full work available at URL: https://arxiv.org/abs/1912.10365

zbMATH Keywords

\(v\)-adic multiple zeta values

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Zeta functions and (L)-functions of function fields (11R59)

Cites Work

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• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• \(v\)-adic zeta functions, \(L\)-series and measures for function fields
• The Riemann Hypothesis for the Goss zeta function for \(\mathbb{F}_q[T\)]
• \(p\)-adic multiple zeta values. I: \(p\)-adic multiple polylogarithms and the \(p\)-adic KZ equation
• Riemann hypothesis for \(\mathbb{F}_ p[T\)]
• Finite sums and interpolation formulas over \(\mathrm{GF}[p^n,x\)]

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