Oct 27, 2019 · We prove that there are >>X^{1/30}/(log X) imaginary quadratic number fields with an ideal class group of 3-rank at least 5 and discriminant bounded in ...
Examples of imaginary quadratic fields with 3-rank 6 were given by Quer [28], and tables of quadratic fields with large 3-rank have been previously computed [2, ...
Jan 30, 2004 · and present a heuristic improvement to detect quadratic fields with large 3-rank, reducing memory use by a linear factor depending on the target ...
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Oct 22, 2024 · A variant computes the 3-ranks of all quadratic fields of discriminant up to X with the same time complexity, but using only M + O(1) units of ...
Jan 30, 2004 · In §4, we specialize to the 3-rank of quadratic fields and present a heuristic improvement to detect quadratic fields with large 3-rank,.
In this thesis, we derive an isomorphism between some subgroup of the multiplicative group of an algebraic number field modulo m-th powers and the elements ...
In this paper, we present extensive numerical data on quadratic function fields with non-zero 3-rank. We use a function field adaptation of a method due to ...
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Abstract. We prove that there are >>X^{1/30}/(log X) imaginary quadratic number fields with an ideal class group of 3-rank at least 5 and discriminant bounded ...
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We prove that there are >>X^{1/30}/(log X) imaginary quadratic number fields with an ideal class group of 3-rank at least 5 and discriminant bounded in ...
In this paper, we prove that the 3-rank of the ideal class group of the imaginary quadratic field Q ( 4 − 3 18 n + 3 ) is at least 3 for every positive integer ...
Missing: large | Show results with:large