\(L\)-functions of Carlitz modules, resultantal varieties and rooted binary trees. I

DOI10.1016/j.jnt.2021.08.013zbMath1502.14113arXiv1607.06147OpenAlexW3200570662WikidataQ113870337 ScholiaQ113870337MaRDI QIDQ2162793

Dmitry Logachev, A. I. Zobnin, Alexander N. Grishkov

Publication date: 9 August 2022

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

Full work available at URL: https://arxiv.org/abs/1607.06147

zbMATH Keywords

binary treesirreducible componentsresultantal varieties

Mathematics Subject Classification ID

Trees (05C05) Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Computational aspects of higher-dimensional varieties (14Q15) Complete intersections (14M10) Solving polynomial systems; resultants (13P15)

Related Items (1)

\(L\)-functions of Carlitz modules, resultantal varieties and rooted binary trees. I

Cites Work

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• Tensor powers of the Carlitz module and zeta values
• Special \(L\)-values of Drinfeld modules
• Special values of \(L\)-functions in characteristic \(p\)
• Global \(L\)-functions over function fields
• \(L\)-functions of Carlitz modules, resultantal varieties and rooted binary trees. I
• A heuristic for boundedness of ranks of elliptic curves
• Resultantal varieties related to zeroes of \(L\)-functions of Carlitz modules
• Some cases of a conjecture on L-functions of twisted Carlitz modules
• Arithmetic over Function Fields: A Cohomological Approach
• 𝐿-functions of 𝜑-sheaves and Drinfeld modules
• The Galois image of twisted Carlitz modules

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