21 citations · 53 across the 15 of their papers we have counts for
3 papers · 1 filter
Arithmetic Progressions of Squares and Multiple Dirichlet Series
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
We study a Dirichlet series in two variables which counts primitive three-term arithmetic progressions of squares. We show that this multiple Dirichlet series has meromorphic conti…
Quadratic twists of central values for GL(3)
Chan Ieong Kuan, Didier Lesesvre
We prove that a cuspidal automorphic representation of GL(3) over any number field is determined by the quadratic twists of its central value. In the case of a non-Gelbart-Jacquet…
Sums of even ascending powers
Chan Ieong Kuan, Didier Lesesvre, Xuanxuan Xiao
Freiman and Scourfield proved that any large enough integer can be written as a sum of a certain number of ascending even powers. We use the circle method to provide the first expl…