Multiplicative relations between coefficients of logarithmic derivatives of 𝔽q-linear functions and applications

DOI10.1142/S021949881540006XzbMath1366.11099arXiv1402.2178OpenAlexW2964294342MaRDI QIDQ2947369

Dinesh S. Thakur, José Alejandro Lara Rodríguez

Publication date: 22 September 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2178

zbMATH Keywords

recursionpower sumsmultizeta

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (5)

On depth 2 zeta-like families ⋮ Multizeta shuffle relations for function fields with non rational infinite place ⋮ Multizeta values for function fields: A survey ⋮ Power sums of polynomials over finite fields and applications: a survey ⋮ Cauchy-Carlitz numbers

Cites Work

• A Herbrand-Ribet theorem for function fields
• Relations between multizeta values in characteristic \(p\)
• Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t\)]
• Some new identities for Bernoulli-Carlitz numbers
• A rigidity result for \(p\)-divisible formal groups
• Some conjectures and results about multizeta values for \(\mathbb F_q[t\)]
• On power sums of polynomials over finite fields
• Values of certain \(L\)-series in positive characteristic
• On certain functions connected with polynomials in a Galois field
• Some sums involving polynomials in a Galois field
• Power sums of polynomials in a Galois field
• A note on numerators of Bernoulli numbers
• Historical Ramblings in Algebraic Geometry and Related Algebra
• Zeta-like multizeta values for \(\mathbb{F}_q [t\)]

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