In a recent paper, Ono and Skinner [1998, Ann. of Math. 147, 453 470] show that if a half integral weight eigenform g(z) is good, then g(z) has infinitely many coefficients prime to l, for all but finitely many primes l. Their paper ends with the conjecture that all half-integral weight eigenforms (
β¦ LIBER β¦
A Note on a Theorem of A. Granville and K. Ono
β Scribed by Ian Kiming
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 262 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
It was recently proved by A. Granville and K. Ono that if t # N, t 4 then every natural number has a t-core partition. The essence of the proof consists in showing this assertion for t prime, t 11. We give an alternative, short proof for these cases.
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