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Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms
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Kimberly Hopkins
Published/Copyright:
May 31, 2010
Abstract
We apply Tatuzawa's version of Siegel's theorem to derive two lower bounds on the size of the principal genus of positive definite binary quadratic forms.
Keywords.: Binary quadratic forms; genus theory
Received: 2009-04-22
Accepted: 2010-02-15
Published Online: 2010-05-31
Published in Print: 2010-May
© de Gruyter 2010
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- On a Variant of Van Der Waerden's Theorem
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Articles in the same Issue
- Recounting the Number of Rises, Levels, and Descents in Finite Set Partitions
- Multiplicities of Integer Arrays
- Adjugates of Diophantine Quadruples
- A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral
- On a Variant of Van Der Waerden's Theorem
- Note on a Result of Haddad and Helou
- Sequences of Density ζ(k) – 1
- Square-Full Divisors of Square-Full Integers
- Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms
