3 citations · 7 across the 7 of their papers we have counts for
9 papers
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…
Pointwise Bound for -torsion in Class Groups II: Nilpotent Extensions
Jiuya Wang
For every finite -group that is non-cyclic and non-quaternion and every positive integer that is greater than , we prove the first non-trivial bound on $\e…
-torsion bounds for the class group of number fields with an -group as Galois group
Jürgen Klüners, Jiuya Wang
We describe the relations among the -torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjectur…