Frobenius distributions of Drinfeld modules over finite fields

DOI10.1090/S0002-9947-07-04558-8zbMath1135.11029OpenAlexW2030826184MaRDI QIDQ5437611

Ernst-Ulrich Gekeler

Publication date: 21 January 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04558-8

zbMATH Keywords

Drinfeld modulemass formulacharacteristic polynomial of Frobenius

Mathematics Subject Classification ID

Galois representations (11F80) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (13)

On isogeny characters of Drinfeld modules of rank two ⋮ Computing endomorphism rings and Frobenius matrices of Drinfeld modules ⋮ Computing the Characteristic Polynomial of Endomorphisms of a finite Drinfeld Module using Crystalline Cohomology ⋮ Isomorphism classes of Drinfeld modules over finite fields ⋮ EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 ⋮ Frobenius actions on the de Rham cohomology of Drinfeld modules ⋮ Drinfeld modules with complex multiplication, Hasse invariants and factoring polynomials over finite fields ⋮ The Sato-Tate law for Drinfeld modules ⋮ Polynomial factorization over finite fields by computing Euler-Poincaré characteristics of Drinfeld modules ⋮ Reprint of: Endomorphism rings of reductions of Drinfeld modules ⋮ Endomorphism rings of reductions of Drinfeld modules ⋮ Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields ⋮ Obstructions to reciprocity laws related to division fields of Drinfeld modules

Cites Work

• Zur Arithmetik von Drinfeld-Moduln
• On finite Drinfeld modules
• On the coefficients of Drinfeld modular forms
• Highly ramified pencils of elliptic curves in characteristic 2
• On Drinfeld modular curves with many rational points over finite fields
• Isogenies of Drinfeld modules over finite fields
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Frobenius distributions of Drinfeld modules of any rank
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