3 papers
math.NT2026
Height lower bounds for elements of highly composite rings
Siu Hang Man, Niclas Technau, Martin Widmer +1
Let be the composite field of all number fields of degree at most . In 2001 Bombieri and Zannier proved that has the Northcott property and…
math.NT2025
An effective version of the Kuznetsov trace formula for GSp(4)
Félicien Comtat, Didier Lesesvre, Siu Hang Man
We develop an explicit version of the Kuznetsov trace formula for GSp(4), relating sums of Fourier coefficients to Kloosterman sums. We study the precise analytic behaviour of both…
math.NT2025
Pythagoras numbers for infinite algebraic fields
Nicolas Daans, Stevan Gajović, Siu Hang Man +1
We prove that the Pythagoras number of the ring of integers of the compositum of all real quadratic fields is infinite. The same holds for certain infinite totally real cyclotomic…