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In 1998, the second author raised the problem of classifying the irreducible characters of S n of prime power degree. Zalesskii proposed the analogous problem for quasi-simple groups, and he has, in joint work with Malle, made substantial progress on this latter problem. With the exception of the alternating groups and their double covers, their work… (More)

Let Pr denote the convex hull of the integer points in the disc of radius r. W: prove that thq number of vertices of Pr is essentially 73 as r ~ w

- Antal Balog, Ken Ono
- 2004

- Antal Balog, Henri Darmon, Ken Ono
- 2004

Congruences for Fourier coefficients of integer weight modular forms have been the focal point of a number of investigations. In this note we shall exhibit congruences for Fourier coefficients of a slightly different type. Let f (z) = P ∞ n=0 a(n)q n be a holomorphic half integer weight modular form with integer coefficients. If is prime, then we shall be… (More)

- Antal Balog, Ken Ono
- 2004

The problem of estimating the number of imaginary quadratic fields whose ideal class group has an element of order ≥ 2 is classical in number theory. Analogous questions for quadratic twists of elliptic curves have been the focus of recent interest. Whereas works of Stewart and Top [St-T], and of Gouvêa and Mazur [G-M] address the nontriviality of… (More)

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