On the \(\ell\)-adic valuation of certain Jacobi sums

DOI10.5802/jtnb.1171zbMath1489.11113arXiv1910.14249OpenAlexW3199281482MaRDI QIDQ2240432

Vishal Arul

Publication date: 3 November 2021

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14249

zbMATH Keywords

finite fieldscongruencescyclotomic unitsJacobi sums

Mathematics Subject Classification ID

Units and factorization (11R27) Gauss and Kloosterman sums; generalizations (11L05) Cyclotomic extensions (11R18)

Cites Work

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• On the torsion of the Jacobians of superelliptic curves \(y^q = x^p + a\)
• Profinite braid groups, Galois representations and complex multiplications
• Congruences for Jacobi sums
• Jacobi sums and Stickelberger's congruence
• A note on the torsion of the Jacobians of superelliptic curves $y^{q}=x^{p}+a$
• On a congruence relation between Jacobi sums and cyclotomic units.

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