Primes represented by binary quadratic forms
โ Scribed by Charles J Parry
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 253 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We use a telescoping method suggested by Ono [5] to compute p(n) (mod l) as a weighted sum over l-affine partitions of size n. When l=2, 3, 5, 7, and 11, these sums are neatly described using binary quadratic forms. Moreover, one immediately obtains classical proofs of the Ramanujan congruences (mod
In this article, we provide the complete answer to a question raised by Kitaoka in his book. (1999, ``Arithmetic of Quadratic Forms,'' Cambridge Univ. Press, Cambridge, UK). More precisely, we prove that A 4 = ( 4) represents all but one and D 4 20[2 1 2 ] represents all but three binary positive ev