Linear independence of monomials of multizeta values in positive characteristic
From MaRDI portal
Publication:2935405
DOI10.1112/S0010437X1400743XzbMath1306.11058arXiv1207.2326OpenAlexW2071635883MaRDI QIDQ2935405
Publication date: 29 December 2014
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.2326
Arithmetic theory of algebraic function fields (11R58) Transcendence theory of other special functions (11J91) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence (general theory) (11J81) Transcendence theory of Drinfel'd and (t)-modules (11J93)
Related Items (29)
Twisted characteristic \(p\) zeta functions ⋮ Zeta-like multiple zeta values in positive characteristic ⋮ On Zagier-Hoffman's conjectures in positive characteristic ⋮ Taylor coefficients of Anderson-Thakur series and explicit formulae ⋮ On depth 2 zeta-like families ⋮ On ∞-adic and v-adic multiple zeta functions in positive characteristic ⋮ On Thakur’s basis conjecture for multiple zeta values in positive characteristic ⋮ Multizeta in function field arithmetic ⋮ Integrality of \(v \)-adic multiple zeta values ⋮ Universal families of Eulerian multiple zeta values in positive characteristic ⋮ On shuffle of double Eisenstein series in positive characteristic ⋮ On a variant of Schanuel conjecture for the Carlitz exponential ⋮ Multizeta values for function fields: A survey ⋮ On finite Carlitz multiple polylogarithms ⋮ Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic ⋮ An effective criterion for Eulerian multizeta values in positive characteristic ⋮ On a conjecture of Furusho over function fields ⋮ Alternating variants of multiple poly-Bernoulli numbers and finite multiple zeta values in characteristic 0 and p ⋮ On lower bounds of the dimensions of multizeta values in positive characteristic ⋮ On algebraic independence of certain multizeta values in characteristic \(p\) ⋮ Zeta-like multizeta values for \(\mathbb{F}_q [t\)] ⋮ Power sums of polynomials over finite fields and applications: a survey ⋮ Alternating multizeta values in positive characteristic ⋮ Criterion for Deciding Zeta-Like Multizeta Values in Positive Characteristic ⋮ A \(t\)-motivic interpretation of shuffle relations for multizeta values ⋮ On multi-poly-Bernoulli-Carlitz numbers ⋮ Analytic continuation of multiple polylogarithms in positive characteristic ⋮ Algebraic independence of the Carlitz period and the positive characteristic multizeta values at $n$ and $(n,n)$ ⋮ Algebraic independence results for colored multizeta values in characteristic p
Cites Work
- Mixed Tate motives over \(\mathbb{Z}\)
- Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
- Relations between multizeta values in characteristic \(p\)
- Tensor powers of the Carlitz module and zeta values
- Transcendence and special zeta values in characteristic p
- Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t\)]
- A note on a refined version of Anderson-Brownawell-Papanikolas criterion
- Multiplicity estimates on group varieties
- Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
- \(t\)-motives
- Analytic homomorphisms into Drinfeld modules
- The double logarithm and Manin's complex for modular curves
- Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic
- Determination of algebraic relations among special zeta values in positive characteristic
- Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
- On certain functions connected with polynomials in a Galois field
- Algebraic independence of periods and logarithms of Drinfeld modules
This page was built for publication: Linear independence of monomials of multizeta values in positive characteristic
