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math.NT2015
Kloosterman sums and Maass cusp forms of half integral weight for the modular group
Scott Ahlgren, Nickolas Andersen
We estimate the sums \[ \sum_{c\leq x} \frac{S(m,n,c,χ)}{c}, \] where the are Kloosterman sums of half-integral weight on the modular group. Our estimates are uniform…
math.NT2015★ 26 cited
Algebraic and transcendental formulas for the smallest parts function
Scott Ahlgren, Nickolas Andersen
Building on work of Hardy and Ramanujan, Rademacher proved a well-known formula for the values of the ordinary partition function . More recently, Bruinier and Ono obtained a…