Colby College

output

19932026

most cited3D-HST+CANDELS: The Evolution of the Galaxy Size-Mass Distribution since

z = 3

1.4k citations

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Showing 2015 · math.NTShow all

3 papers · 2 filters

math.NT2015★ 3 cited

Short-Interval Averages of Sums of Fourier Coefficients of Cusp Forms

Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1

Let $f$ be a weight $k$ holomorphic cusp form of level one, and let $S_{f} (n)$ denote the sum of the first $n$ Fourier coefficients of $f$ . In analogy with Dirichlet's divisor proble…

math.NT2015★ 7 cited

The Second Moment of Sums of Coefficients of Cusp Forms

Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1

Let $f$ and $g$ be weight $k$ holomorphic cusp forms and let $S_{f} (n)$ and $S_{g} (n)$ denote the sums of their first $n$ Fourier coefficients. Hafner and Ivic [HI], building on Chandr…

math.NT2015★ 8 cited

A local-global principle in the dynamics of quadratic polynomials

David Krumm

Let $K$ be a number field, $f \in K [x]$ a quadratic polynomial, and $n \in {1, 2, 3}$ . We show that if $f$ has a point of period $n$ in every non-archimedean completion of $K$ , then $…