Limit distribution of class numbers for discriminants in progressions and fundamental discriminants (Q2810672)
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scientific article; zbMATH DE number 6589275
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit distribution of class numbers for discriminants in progressions and fundamental discriminants |
scientific article; zbMATH DE number 6589275 |
Statements
Limit distribution of class numbers for discriminants in progressions and fundamental discriminants (English)
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3 June 2016
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class number
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fundamental discriminants
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arithmetic progression
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limit distribution
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regulator
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The author generalizes her results in [Forum Math. 21, No. 2, 221--257 (2009; Zbl 1192.11022)]. She gives an asymptotic formula for moments of class numbers whose discriminants belong to an arithmetic progression or are fundamental discriminants. She determines a limit distribution for class numbers of discriminants belonging to an arithmetic progression and for fundamental discriminants in the case that the class numbers are ordered by the size of the regulator.
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