Small zeros of quadratic forms modulo p, III
โ Scribed by Todd Cochrane
- Book ID
- 108346548
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 266 KB
- Volume
- 37
- 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
Given a quadratic form and M linear forms in N รพ 1 variables with coefficients in a number field K; suppose that there exists a point in K Nรพ1 at which the quadratic form vanishes and all the linear forms do not. Then we show that there exists a point like this of relatively small height. This gener