Vanishing of multizeta values over at negative integers

DOI10.4153/S0008439521000035zbMath1497.11222arXiv2003.12242OpenAlexW3123136894MaRDI QIDQ5065905

Shuhui Shi

Publication date: 23 March 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12242

zbMATH Keywords

power summultizeta valuesvaluation monotonicitytrivial zeromodest elementvanishing at negative integers

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta and (L)-functions in characteristic (p) (11M38) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t\)]
• Multiple harmonic series
• An addendum to ``\(v\)-adic zeta functions, \(L\)-series, and measures for function fields
• The Riemann Hypothesis for the Goss zeta function for \(\mathbb{F}_q[T\)]
• Riemann hypothesis for \(\mathbb{F}_ p[T\)]
• Galois symmetries of fundamental groupoids and noncommutative geometry
• The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y/(y^2+y+x^3+x+1)\)]
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Finite sums and interpolation formulas over \(\mathrm{GF}[p^n,x\)]
• Desingularization of complex multiple zeta-functions
• Groupes fondamentaux motiviques de Tate mixte
• Multizeta values for function fields: A survey
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