Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Wang, Jiuya"'
In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.
Comment: 56 pages
Comment: 56 pages
Externí odkaz:
http://arxiv.org/abs/2310.16399
Ribet's method provides a strategy for constructing a nontrivial extension of a $p$-adic Galois representation $\rho_1$ by another such representation $\rho_2$. Suppose we are working over a local ring. An important assumption that occurs throughout
Externí odkaz:
http://arxiv.org/abs/2310.16396
Autor:
Anderson, Theresa C., Gafni, Ayla, Hughes, Kevin, Oliver, Robert J. Lemke, Lowry-Duda, David, Thorne, Frank, Wang, Jiuya, Zhang, Ruixiang
We study the number of degree $n$ number fields with discriminant bounded by $X$. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for $6 \leq n \leq 94$.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/2204.01651
We determine the average size of the 3-torsion in class groups of $G$-extensions of a number field when $G$ is any transitive $2$-group containing a transposition, for example $D_4$. It follows from the Cohen--Lenstra--Martinet heuristics that the av
Externí odkaz:
http://arxiv.org/abs/2110.07712
Autor:
Shu, Ruiwen, Wang, Jiuya
The classical Erd\H{o}s-Tur\'an inequality on the distribution of roots for complex polynomials can be equivalently stated in a potential theoretic formulation, that is, if the logarithmic potential generated by a probability measure on the unit circ
Externí odkaz:
http://arxiv.org/abs/2110.03019
Autor:
Shu, Ruiwen, Wang, Jiuya
Erd\H{o}s and Tur\'an proved a classical inequality on the distribution of roots for a complex polynomial in 1950, depicting the fundamental interplay between the size of the coefficients of a polynomial and the distribution of its roots on the compl
Externí odkaz:
http://arxiv.org/abs/2109.11006
Autor:
Carneiro, Emanuel, Das, Mithun Kumar, Florea, Alexandra, Kumchev, Angel V., Malik, Amita, Milinovich, Micah B., Turnage-Butterbaugh, Caroline, Wang, Jiuya
Publikováno v:
J. Funct. Anal. 281 (2021), no. 9, Paper No. 109199
We improve the current bounds for an inequality of Erd\H{o}s and Tur\'an from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upon a recent work of Soundararajan, we establish a novel connectio
Externí odkaz:
http://arxiv.org/abs/2104.00105
Autor:
Wang, Jiuya
For every finite $p$-group $G_p$ that is non-cyclic and non-quaternion and every positive integer $\ell\neq p$ that is greater than $2$, we prove the first non-trivial bound on $\ell$-torsion in class group of every $G_p$-extension. More generally, f
Externí odkaz:
http://arxiv.org/abs/2006.10295
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 powers of the augmentation ideal in the group algebra of H. We show tha
Externí odkaz:
http://arxiv.org/abs/2004.11510
We prove Malle's conjecture for $G \times A$, with $G=S_3, S_4, S_5$ and $A$ an abelian group. This builds upon work of the fourth author, who proved this result with restrictions on the primes dividing $A$.
Externí odkaz:
http://arxiv.org/abs/2004.04651