Automorphe Formen über \({\mathbb{F}}_ q(T)\) mit kleinem Führer. (Automorphic forms over \({\mathbb{F}}_ q(T)\) with small conductor)

DOI10.1007/BF02941492zbMath0564.10026MaRDI QIDQ1057904

Ernst-Ulrich Gekeler

Publication date: 1985

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesfinite fieldsplittingFourier coefficientsHecke algebrarational function fieldcomputation of fundamental domainscomputations of the matrices of Hecke operatorscusp forms of Drinfield typereduction behavior over \({\mathbb{F}}_ q(T)\)spaces of automorphic cusp formstables for cusp formsTaniyama-Weil conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Automorphic forms, one variable (11F12)

Related Items (16)

Sturm-type bounds for modular forms over function fields ⋮ An explicit basis of modular symbols on function fields ⋮ Improper Eisenstein series on Bruhat-Tits trees ⋮ Analytical construction of Weil curves over function fields ⋮ Strong Weil curves over \(\mathbb F_q(T)\) with small conductor ⋮ Point configurations on the projective line over a finite field ⋮ On the Eisenstein ideal over function fields ⋮ Fundamental domains for congruence subgroups of \(\text{SL}_2\) in positive characteristic. ⋮ Higher Heegner points on elliptic curves over function fields. ⋮ On Jacquet-Langlands isogeny over function fields ⋮ On elliptic curves over function fields of characteristic two ⋮ Modular symbols for \(F_ q(T)\) ⋮ On component groups of Jacobians of Drinfeld modular curves. ⋮ On finite arithmetic simplicial complexes ⋮ Involutory elliptic curves over \(\mathbb{F}_q(T)\) ⋮ The fundamental domain of the tree of \(GL(2)\) over the function field of an elliptic curve

Cites Work

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• Sur la théorie du corps de classes
• ELLIPTIC MODULES
• Automorphic Forms on Adele Groups. (AM-83)
• A table of Hecke operators, II
• Elliptic Curves and Wild Ramification

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