# Number Theory

## Authors and titles for recent submissions

[ total of 51 entries: 1-25 | 26-50 | 51 ]
[ showing 25 entries per page: fewer | more | all ]

### Fri, 23 Aug 2019

[1]
Title: An introduction to p-adic period rings
Authors: Xavier Caruso (IMB)
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[2]
Title: Remarks on generating series for special cycles
Authors: Stephen Kudla
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[3]
Title: Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups
Comments: 44 pages, this paper builds upon and extends the results of the second half of arXiv:1811.05966v1, which was split into two parts. The first part (with new title) is arXiv:1811.05966v2 and the present paper is an extension of the second part
Subjects: Number Theory (math.NT); High Energy Physics - Theory (hep-th); Representation Theory (math.RT)
[4]
Title: The modularity of special cycles on orthogonal Shimura varieties over totally real fields under the Beilinson-Bloch conjecture
Authors: Yota Maeda
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[5]  arXiv:1908.08291 (cross-list from math.AG) [pdf, ps, other]
Title: Étale cohomology of rank one $\ell$-adic local systems in positive characteristic
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[6]  arXiv:1908.08262 (cross-list from math.AG) [pdf, ps, other]
Title: Motivic sheaves revisited
Authors: Donu Arapura
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

### Thu, 22 Aug 2019

[7]
Title: Monogenic trinomials with non-squarefree discriminant
Subjects: Number Theory (math.NT)
[8]
Title: Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations
Subjects: Number Theory (math.NT)
[9]
Title: The mean square of real character sums
Authors: Peng Gao
Comments: 11 pages. arXiv admin note: text overlap with arXiv:0907.4747 by other authors
Subjects: Number Theory (math.NT)
[10]
Title: Torsion groups of Mordell curves over cubic and sextic fields
Subjects: Number Theory (math.NT)
[11]
Title: Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions
Subjects: Number Theory (math.NT)
[12]
Title: Some results on vanishing coefficients in infinite product expansions
Journal-ref: The Ramanujan Journal, 2019
Subjects: Number Theory (math.NT)
[13]
Title: Quadratic residues in $\mathbb{F}_{p^2}$ and related permutations involving primitive roots
Authors: Hai-Liang Wu
Comments: This is a preliminary version
Subjects: Number Theory (math.NT)
[14]
Title: Algebraic integer totally in a compact
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Complex Variables (math.CV)
[15]  arXiv:1908.07720 (cross-list from math.RT) [pdf, ps, other]
Title: Tensor Product $L$-Functions On Metaplectic Covering Groups of $GL_r$
Authors: David Ginzburg
Subjects: Representation Theory (math.RT); Number Theory (math.NT)

### Wed, 21 Aug 2019 (showing first 10 of 11 entries)

[16]
Title: Gamma functions, monodromy and Apéry constants
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[17]
Title: A note on Misiurewicz polynomials
Authors: Vefa Goksel
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
[18]
Title: Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers
Subjects: Number Theory (math.NT)
[19]
Title: Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation
Authors: Xin Wan
Subjects: Number Theory (math.NT)
[20]
Title: Moduli stacks of étale (phi,Gamma)-modules and the existence of crystalline lifts
Subjects: Number Theory (math.NT)
[21]
Title: Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli
Authors: David Wu
Subjects: Number Theory (math.NT)
[22]
Title: Local $\mathbb F_l$-monodromy and level fixing
Authors: Pascal Boyer
Subjects: Number Theory (math.NT)
[23]
Title: Moduli stacks of two-dimensional Galois representations
Subjects: Number Theory (math.NT)
[24]  arXiv:1908.07480 (cross-list from math.AG) [pdf, ps, other]
Title: Torsors on loop groups and the Hitchin fibration
Title: On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume