Add to ORKGWe show that there are finitely many imaginary quadratic number fields for which the class group has exponent 5. Indeed there are finitely many with exponent at most 6. The proof is based on a method of Pierce [13]. The problem is reduced to one of counting integral points on a certain affine surface. This is tackled using the author's "square-sieve", in conjunction with estimates for exponential sums. The latter are derived using the q-analogue of van der Corput's method. © Walter de Gruyter 2008
AbstractIn this paper our attempt is to investigate the class number problem of imaginary quadratic ...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
We show that there are finitely many imaginary quadratic number fields for which the class group has...
International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
AbstractThis paper proves the existence of infinitely many imaginary quadratic fields whose class nu...
Abstract We give a neceary condition for an imaginary quadratic field to have exponent le than or eq...
AbstractJ. Cohen, J. Sonn, F. Sairaiji and K. Shimizu proved that there are only finitely many imagi...
We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic ...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
The goal of this thesis is to determine the asymptotic behaviour of the number of quadratic extensio...
We improve an effective lower bound on the number of imaginary quadratic fields whose absolute discr...
AbstractIn this paper our attempt is to investigate the class number problem of imaginary quadratic ...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
We show that there are finitely many imaginary quadratic number fields for which the class group has...
International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
AbstractThis paper proves the existence of infinitely many imaginary quadratic fields whose class nu...
Abstract We give a neceary condition for an imaginary quadratic field to have exponent le than or eq...
AbstractJ. Cohen, J. Sonn, F. Sairaiji and K. Shimizu proved that there are only finitely many imagi...
We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic ...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
The goal of this thesis is to determine the asymptotic behaviour of the number of quadratic extensio...
We improve an effective lower bound on the number of imaginary quadratic fields whose absolute discr...
AbstractIn this paper our attempt is to investigate the class number problem of imaginary quadratic ...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...