Results 51 to 60 of about 8,006 (148)
On Sums of SL(3,Z) Kloosterman Sums
, 2012 We show that sums of the SL(3,Z) long element Kloosterman sum against a smooth weight function have cancellation due to the variation in argument of the Kloosterman sums, when each modulus is at least the square root of the other.
Buttcane, Jack
core
An asymptotic local–global theorem on heights of some Kleinian group orbits
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove an asymptotic local–global theorem on the heights of point orbits of thin subgroups of Bianchi groups in H3$\mathbb {H}^3$.
Xuanxuan Xiao, Xin Zhang
wiley +1 more source
The Relationship Between Pre‐ and Post‐Migration Self‐Employment: Evidence From Italy and Spain
International Migration, Volume 64, Issue 1, January 2026.ABSTRACT The home‐country self‐employment hypothesis, widely accepted in migration research, posits that immigrants from countries with high self‐employment rates are more likely to become self‐employed. However, supporting evidence remains limited. Recent studies highlight the importance of individual pre‐migration experience, but such evidence is ...
Floriane Bolazzi, Ivana Fellini
wiley +1 more source
Sums of multidimensional Kloosterman sums
Periodica Mathematica HungaricaAbstract We obtain a new bound on certain multiple sums with multidimensional Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums in very small families.
openaire +1 more source
Airy Sums, Kloosterman Sums, and Salié Sums
Journal of Number Theory, 1997 In 1993 \textit{W. Duke} and \textit{H. Iwaniec} proved that a certain class of cubic exponential sums can be expressed through Kloosterman sums twisted by a cubic character [Contemp. Math. 143, 255-258 (1993; Zbl 0792.11029)]. Their proof made use of one of the Davenport-Hasse theorems.
openaire +1 more source
Groundwater Flow Systems as Key Determinants of Groundwater‐Dependent Vegetation Distribution
Ecohydrology, Volume 18, Issue 8, December 2025.ABSTRACT Direct investigations of the connection between groundwater flow systems across multiple scales and groundwater‐dependent ecosystems (GDEs) remain rare. Such studies offer valuable insights into the complex and scale‐dependent relationships between groundwater dynamics and vegetation patterns.
Szilvia Simon +4 more
wiley +1 more source
A transform property of Kloosterman sums
Discrete Applied Mathematics, 2010 Kloosterman sums \(K_k(a,b)\) are of interest in many parts of mathematics. They are defined as \(K_k(a,b)=\sum_{\gamma \in {\mathbb{F}_{q^k}^\ast}}\chi(\text{trace}(a\gamma+b\gamma^{-1})\), where \(\chi\) in an additive character of the finite field \({\mathbb F}_{q}\). Here \(q\) is a prime power and the trace is relative to \({\mathbb F}_q\).
Ian F. Blake, Theodoulos Garefalakis
openaire +1 more source
Pediatric Pulmonology, Volume 60, Issue 12, December 2025.ABSTRACT Background Although rare, COVID‐19 in children may lead to hospitalization due to severe respiratory symptoms, or a hyperinflammatory state called Multisystem Inflammatory Syndrome in Children (MIS‐C). This study examined respiratory morbidity in children 5 to 12 months after hospitalization for MIS‐C or COVID‐19. Methods In this multi‐center,
Lieke C. E. Noij +17 more
wiley +1 more source
On sums of Kloosterman and Gauss sums
Transactions of the American Mathematical Society, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Kloosterman sums with multiplicative coefficients [PDF]
Izvestiya: Mathematics, 2018 The series of some new estimates for the sums of the type \[ S_{q}(x;f)\,=\,\mathop{{\sum}'}\limits_{n\leqslant x}f(n)e_{q}(an^{*}+bn) \] is obtained. Here $q$ is a sufficiently large integer, $\sqrt{q}(\log{q})\!\ll\!x\leqslant q$, $a,b$ are integers, $(a,q)=1$, $e_{q}(v) = e^{2πiv/q}$, $f(n)$ is a multiplicative function, $nn^{*}\equiv 1 \pmod{q ...
openaire +3 more sources