Alexander Walker

activity

20132025

most citedSecond Moments in the Generalized Gauss Circle Problem

21 citations · 52 across the 14 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.GT2015

Graphs of Large Girth and Surfaces of Large Systole

Bram Petri, Alexander Walker

The systole of a hyperbolic surface is bounded by a logarithmic function of its genus. This bound is sharp, in that there exist sequences of surfaces with genera tending to infinit…

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…