A function field analogue of the Stark conjecture
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Jiangxue Fang
Abstract
We prove a function field analogue of the Stark conjecture.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11671269
Funding statement: My research is supported by the NSFC grant no. 11671269.
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Communicated by: Freydoon Shahidi
References
[1] G. Anderson, t-motives, Duke Math. J. 53 (1986), no. 2, 457–502. 10.1215/S0012-7094-86-05328-7Search in Google Scholar
[2] C. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York, 1962. Search in Google Scholar
[3] J. Fang, Special L-values of abelian t-modules, J. Number Theory 147 (2015), 300–325. 10.1016/j.jnt.2014.07.012Search in Google Scholar
[4] J. Fang, Equivariant special 𝐿-values of abelin 𝑡-modules, J. Number Theory 232 (2022), 242–260. 10.1016/j.jnt.2018.11.002Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Recognizing pro-𝖱 closures of regular languages
- Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups
- Non-perturbative graph languages, halting problem and complexity
- Spectral synthesis via moment functions on hypergroups
- A function field analogue of the Stark conjecture
- Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces
- Krull dimension for C*-algebras
- The sharp bound of the third Hankel determinant for starlike functions
- The role of gentle algebras in higher homological algebra
- Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups
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- Common reducing subspaces and decompositions of contractions
- A restriction estimate on Morrey spaces
- On ideals in group algebras: An uncertainty principle and the Schur product
- Spectrality of self-similar measures with product-form digits
- Borderline Lipschitz regularity for bounded minimizers of functionals with (p,q)-growth
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Articles in the same Issue
- Frontmatter
- Recognizing pro-𝖱 closures of regular languages
- Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups
- Non-perturbative graph languages, halting problem and complexity
- Spectral synthesis via moment functions on hypergroups
- A function field analogue of the Stark conjecture
- Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces
- Krull dimension for C*-algebras
- The sharp bound of the third Hankel determinant for starlike functions
- The role of gentle algebras in higher homological algebra
- Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups
-
- Common reducing subspaces and decompositions of contractions
- A restriction estimate on Morrey spaces
- On ideals in group algebras: An uncertainty principle and the Schur product
- Spectrality of self-similar measures with product-form digits
- Borderline Lipschitz regularity for bounded minimizers of functionals with (p,q)-growth
- On the L q spectra of in-homogeneous self-similar measures
