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Divisibility of Certain Partition Functions by Powers of Primes

โœ Scribed by Basil Gordon; Ken Ono

Book ID
110279150
Publisher
Springer US
Year
1997
Tongue
English
Weight
128 KB
Volume
1
Category
Article
ISSN
1382-4090

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๐Ÿ“œ SIMILAR VOLUMES

Divisibility by 2-Powers of Certain Quad
Divisibility by 2-Powers of Certain Quadratic Class Numbers
โœ P. Stevenhagen ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 726 KB

We study the divisibility of the strict class numbers of the quadratic fields of discriminant \(8 p,-8 p\), and \(-4 p\) by powers of 2 for \(p \equiv 1 \bmod 4\) a prime number. Various criteria for divisibility by 8 are discussed, and an analogue of the relation \(8\left|h_{x_{p}} \Leftrightarrow