17 citations · 49 across the 12 of their papers we have counts for
4 papers · 1 filter
The average size of -torsion in class groups of -extensions
Robert J. Lemke Oliver, Jiuya Wang, Melanie Matchett Wood
We determine the average size of the 3-torsion in class groups of -extensions of a number field when is any transitive -group containing a transposition, for example $D_4…
The Sharp Erdős-Turán Inequality
Ruiwen Shu, Jiuya Wang
Erdős and Turán proved a classical inequality on the distribution of roots for a complex polynomial in 1950, depicting the fundamental interplay between the size of the coefficient…
Generalized Erdős-Turán inequalities and stability of energy minimizers
Ruiwen Shu, Jiuya Wang
The classical Erdős-Turán inequality on the distribution of roots for complex polynomials can be equivalently stated in a potential theoretic formulation, that is, if the logarithm…
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…