Imaginary quadratic fields with class group exponent 5
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Publication:3516710
DOI10.1515/FORUM.2008.014zbMath1268.11150OpenAlexW2075019043MaRDI QIDQ3516710
Publication date: 11 August 2008
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/forum.2008.014
Estimates on exponential sums (11L07) Applications of sieve methods (11N36) Class numbers, class groups, discriminants (11R29) Other analytic theory (11R47)
Related Items (11)
Modular forms and \(K3\) surfaces ⋮ Counting problems: class groups, primes, and number fields ⋮ Counting rational points on smooth cyclic covers ⋮ Cusps of Picard modular surfaces ⋮ Partitions associated to class groups of imaginary quadratic number fields ⋮ Missing Class Groups and Class Number Statistics for Imaginary Quadratic Fields ⋮ Imaginary quadratic number fields with class groups of small exponent ⋮ On the determinant method and geometric invariant theory ⋮ CM newforms with rational coefficients ⋮ The imaginary abelian number fields of $2$-power degrees with ideal class groups of exponent $≤2$ ⋮ Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
Cites Work
- The square sieve and consecutive square-free numbers
- Rational points on finite covers of \({\mathbb P}^{1}\) and \({\mathbb P}^{2}\)
- The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
- The number of integral points on arcs and ovals
- A bound for the 3-part of class numbers of quadratic fields by means of the square sieve
- On a question of Lillian Pierce
- On the Representations of a Number as the Sum of Four Cubes: I
- THE 3-PART OF CLASS NUMBERS OF QUADRATIC FIELDS
- Integral points on elliptic curves and 3-torsion in class groups
- On the Exponent of the Ideal Class Groups of Complex Quadratic Fields
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