252 citations
- Georgia Institute of TechnologyUS3 papers
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- Emory and Henry CollegeUS2 papers
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Showing 2011 · math.NTShow all
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math.NT2011
Upper Bounds for the Number of Number Fields with Alternating Galois Group
Eric Larson, Larry Rolen
We study the number of number fields of degree whose Galois closure has Galois group and whose discriminant is bounded by . By a conjecture of Malle, we…
math.NT2011
Congruences for Broken k-Diamond Partitions
Marie Jameson
We prove two conjectures of Paule and Radu from their recent paper on broken k-diamond partitions.
math.NT2011★ 5 cited
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms
Jan Hendrik Bruinier, Ken Ono
We prove that the coefficients of certain weight -1/2 harmonic Maass forms are traces of singular moduli for weak Maass forms. To prove this theorem, we construct a theta lift from…