The hyperadelic gamma function
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Publication:1824002
DOI10.1007/BF01394145zbMath0682.14011MaRDI QIDQ1824002
Publication date: 1989
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143646
torsion pointsFermat curvesGauss multiplication formulaaction of the Galois group of the rationalsadelic beta functionhalf-transferhyperadelic gamma function
Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Curves over finite and local fields (11G20)
Related Items (13)
On the determinant of Gauss-Manin connections and hypergeometric functions of hypersurfaces ⋮ The Galois action and cohomology of a relative homology group of Fermat curves ⋮ On arithmetic monodromy representations of Eisenstein type in fundamental groups of once punctured elliptic curves ⋮ Local units modulo Gauss sums ⋮ The \(\ell\)-adic hypergeometric function and associators ⋮ A note on the universal power series for Jacobi sums ⋮ Faisceaux pervers, transformation de Mellin et déterminants ⋮ Harmonic and equianharmonic equations in the Grothendieck–Teichmüller group. III ⋮ Étale and crystalline beta and gamma functions via Fontaine's periods ⋮ Unnamed Item ⋮ On 3-Nilpotent Obstructions to π1 Sections for $$ \mathbb{P}^{1}_\mathbb{Q}$$−{0,1, $$\infty$$} ⋮ On beta and gamma functions associated with the Grothendieck-Teichmüller group. II ⋮ On Galois representations arising from towers of coverings of \(\mathbb P^1\backslash \{0,1,\infty \}\)
Cites Work
- Pro-\(\ell\) branched coverings of \(P^ 1\) and higher circular \(\ell\)- units
- On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
- Profinite braid groups, Galois representations and complex multiplications
- Hodge cycles, motives, and Shimura varieties
- Torsion points on Fermat Jacobians, roots of circular units and relative singular homology.
- A Formal Analogue of Hilbert's Theorem 90
- The dilogarithm and the norm residue symbol
- Formules de Picard-Lefschetz généralisées et ramification des intégrales
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