Algebraic function fields with small class number
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Publication:1222195
DOI10.1016/0022-314X(75)90004-9zbMath0318.12009MaRDI QIDQ1222195
James R. C. Leitzel, Manohar L. Madan, Clifford S. Queen
Publication date: 1975
Published in: Journal of Number Theory (Search for Journal in Brave)
Related Items (22)
On the existence of non-special divisors of degree \(g\) and \(g-1\) in algebraic function fields over \(\mathbb{F}_2\) ⋮ On some discretely normed rings of functions being not \(GE_ 2\)-rings. ⋮ Algebraic independence of values of Goss \(L\)-functions at \(s=1\) ⋮ The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y/(y^2+y+x^3+x+1)\)] ⋮ On the classification of algebraic function fields of class number three ⋮ Rabinowitsch times six ⋮ Euclidean rings of affine curves ⋮ Zur Divisorklassengruppe eines Kongruenzfunktionenkörpers ⋮ Shtukas and Jacobi sums ⋮ A counterexample to `Algebraic function fields with small class number' ⋮ Class numbers of real quadratic function fields of genus one ⋮ Gauss sums for function fields ⋮ The relative class number one problem for function fields. I ⋮ Imaginary bicyclic biquadratic function fields in characteristic two ⋮ Class number one problem for imaginary function fields: the cyclic prime power case ⋮ Classification of algebraic function fields with class number one ⋮ Function fields of class number one ⋮ Irrationality of \(\zeta(s)\) for \(s\leq q\) in certain Drinfeld modules of rank 1 ⋮ Classification of function fields with class number three ⋮ Factorization of coefficients for exponential and logarithm in function fields ⋮ Non-standard automorphisms and non-congruence subgroups of \(\mathrm{SL}_{2}\) over Dedekind domains contained in function fields ⋮ Quadratic function fields with exponent two ideal class group
Cites Work
- Analytische Zahlentheorie in Körpern der Charakteristik \(p\)
- Endomorphisms of Abelian varieties over finite fields
- Isogeny classes of abelian varieties over finite fields
- On unique factorization in certain rings of algebraic functions
- Imaginary quadratic fields with class number 2
- Algebraic function fields of class number one
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