Dedekind sums and power residue symbols
Robert Sczech (1986)
Compositio Mathematica
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Displaying similar documents to “Atkin-Lehner involutions and class number residuality”
Dedekind sums and power residue symbols
Generation of class fields by the modular function
Kuk Jin Hong, Ja Kyung Koo (2000)
Acta Arithmetica
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Halfway to a solution of
R. A. Mollin, A. J. Van der Poorten, H. C. Williams (1994)
Journal de théorie des nombres de Bordeaux
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It is well known that the continued fraction expansion of readily displays the midpoint of the principal cycle of ideals, that is, the point halfway to a solution of . Here we notice that, analogously, the point halfway to a solution of can be recognised. We explain what is going on.
On the generalized Ramanujan-Nagell equation, II
F. Beukers (1981)
Acta Arithmetica
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P-division points on certain elliptic curves
Kuang-Yen Shih (1978)
Compositio Mathematica
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On a conjecture of Erdös and Heilbronn
E. Szemerédi (1970)
Acta Arithmetica
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On equations defining fake elliptic curves
Pilar Bayer, Jordi Guàrdia (2005)
Journal de Théorie des Nombres de Bordeaux
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Shimura curves associated to rational nonsplit quaternion algebras are coarse moduli spaces for principally polarized abelian surfaces endowed with quaternionic multiplication. These objects are also known as . We present a method for computing equations for genus 2 curves whose Jacobian is a fake elliptic curve with complex multiplication. The method is based on the explicit knowledge of the normalized period matrices and on the use of theta functions with characteristics. As in the...