17 citations · 49 across the 12 of their papers we have counts for
13 papers
Improved bounds on number fields of small degree
Theresa C. Anderson, Ayla Gafni, Kevin Hughes +5
We study the number of degree number fields with discriminant bounded by . In this article, we improve an upper bound due to Schmidt on the number of such fields that was pr…
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…
Generalized Bockstein maps and Massey products
Yeuk Hay Joshua Lam, Yuan Liu, Romyar Sharifi +2
Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by p…
Malle's Conjecture for , with
Riad Masri, Frank Thorne, Wei-Lun Tsai +1
We prove Malle's conjecture for , with and an abelian group. This builds upon work of the fourth author, who proved this result with restrictions…
-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…
Pointwise Bound for -torsion in Class Groups: Elementary Abelian Extensions
Jiuya Wang
Elementary abelian groups are finite groups in the form of for a prime number . For every integer and , we prove a non-trivial upper…
Secondary Term of Asymptotic Distribution of Extensions over
Jiuya Wang
We combine a sieve method together with good uniformity estimates to prove a secondary term for the asymptotic estimate of extensions over when is an…
The -Class Tower of
Nigel Boston, Jiuya Wang
The seminal papers in the field of root-discriminant bounds are those of Odlyzko and Martinet. Both papers include the question of whether the field has…
Malle's Conjecture for for
Jiuya Wang
We propose a framework to prove Malle's conjecture for the compositum of two number fields based on proven results of Malle's conjecture and good uniformity estimates. Using this m…