✦ LIBER ✦

On a Theorem of Ono and Skinner

✍ Scribed by William J McGraw

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 122 KB
Volume: 86
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2557

No coin nor oath required. For personal study only.

✦ Synopsis

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 (with the exception of certain theta functions) are, in fact, good. We give a brief and elementary proof of the ``good'' conjecture.

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