arXiv math.NT Number Theory
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Unofficial bot by @vela with https://t.co/qRyAuN2QxC. @mathMPb @mathNAb @mathOAb @mathOCb @mathPRb @mathQAb @mathRAb @mathRTb @mathSGb @mathSPb ...
Joined April 2013
Trey Smith, Aksel Ozer: Linear Orders and the Real Line
arxiv.org
Definitions of dense linear orders (with/without endpoints), separable linear orders, complete linear orders, the countable chain condition for linear orders, a Suslin line/Suslin tree and...
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Cornelius Greither, Takenori Kataoka: Determining class groups as Galois modules up to equivalence for some nonabelian extensions
arxiv.org
In previous papers, the Galois module structure of minus class groups was studied for abelian CM extensions. In this paper, we discuss some nonabelian cases, focusing on metacyclic extensions. For...
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Cormac O'Sullivan: Integer continued fractions for complex numbers
arxiv.org
We study a natural extension to complex numbers of the standard continued fractions. The basic algorithm is due to Lagrange and Gauss, though it seems to have gone mostly unnoticed as a way to...
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Rachel Davis, Jessamyn Dukes, Eli Orvis, Thais Ribeiro, Adriana Salerno, Leah Sturman, Ursula Whitcher: Hypergeometric decomposition of Delsarte K3 pencils
arxiv.org
We study five pencils of projective quartic Delsarte K3 surfaces. Over finite fields, we give explicit formulas for the point counts of each family, written in terms of hypergeometric sums. Over...
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Zi Li Lim: On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem
arxiv.org
We prove a sharp density theorem for quadratic Waring's problem over cyclic groups, when the number of variables is at least $5$. Also, we obtain some new improvements on the density version of...
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[2025-08-22 Fri (UTC), 6 new articles found for mathNT Number Theory].
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Pascadi, Thorner: $\mathrm{GL}_n$ large sieves and density estimates via positiv.
arxiv.org
Let $\mathfrak{F}_n$ be the set of unitary cuspidal automorphic representations of $\mathrm{GL}_n$ over a number field $F$, and let $\mathcal{S}\subseteq\mathfrak{F}_n$ be a finite subset. Given...
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Ganguly, Guria: Distribution of integer points on determinant surfaces and a $.
arxiv.org
We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form $xy-zw=r$, where $r$ is a non-zero integer, with an explicit main term and a strong...
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Sheth, Tamiozzo: Real geometric transcendence for Weierstrass elliptic functions
arxiv.org
Given a lattice $Λ\subset \mathbb C\simeq \mathbb R^2$ with associated Weierstrass function $\wp_Λ$, we determine the algebraic curves in $\mathbb R^2$ whose image via...
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Peng Gao, Liangyi Zhao: Shifted moments of cubic and quartic Dirichlet $L$-functions
arxiv.org
We establish upper bounds for shifted moments of cubic and quartic Dirichlet $L$-functions under the generalized Riemann hypothesis. As an application, we prove bounds for moments of cubic and...
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Filip Najman, Ivan Novak: Quadratic points on modular curves $X_0(N)$ for $N\leq 100$
arxiv.org
We determine the quadratic points on the modular curves $X_0(N)$ for $N\leq 100$ for which this has not been previously done, namely the cases $$N\in\{66,70,78,82,84,86,87,88,90,96,99\}.$$ We...
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[2025-08-21 Thu (UTC), 5 new articles found for mathNT Number Theory].
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Alex Bartel, Adam Morgan: Galois module structures and the Hasse principle in twist fami.
arxiv.org
We address several seemingly disparate problems in arithmetic geometry: the statistical behaviour of the Galois module structure of Mordell--Weil groups of a fixed elliptic curve over varying...
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Chitrao, Soneji: Iwahori-Hecke model for the universal supersingular representa.
arxiv.org
Let $F$ be a non-archimedean local field with residue field $\mathbb{F}_q$. When $F$ is a finite extension of $\mathbb{Q}_{p}$, Anandavardhanan-Borisagar and Anandavardhanan-Jana introduced an...
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Miao, Zhang: The Weyl bound for triple product L-functions in the cubic level
arxiv.org
In this paper, we focus on the strong subconvexity bounds for triple product L-functions in the cubic level aspect. Our proof on the Weyl-type bound synthesizes techniques from classical analytic...
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Alexander E. Patkowski: On certain sums over primes and the Riesz function
arxiv.org
We offer some comments on series involving the M$\ddot{o}$bius function which approximate sums over primes. To accomplish this, we utilize the derivative of the Gram series by applying...
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Trevor D. Wooley: Subconvex $L^p$-sets, Weyl's inequality, and equidistribution
arxiv.org
We examine sets $\mathscr A$ of natural numbers having the property that for some real number $p\in (0,2)$, one has the subconvex bound $$\int_0^1 \Bigl| \sum_{n\in \mathscr A\cap...
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Tianyu Zhao: Conditional estimates on the argument of Dirichlet $L$-functio.
arxiv.org
Under the generalized Riemann hypothesis, we use Beurling-Selberg extremal functions to bound the mean and mean square of the argument of Dirichlet $L$-functions to a large prime modulus $q$. As...
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Anju Yokoi: An interpolation of Bradley's sum formula
arxiv.org
The sum formula for $q$-multiple zeta values is a well-known relation. In this paper, we present its generalization for the $q$-multiple zeta function.
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