Results 41 to 50 of about 146 (124)
INVERSION OF L-FUNCTIONS, GENERAL KLOOSTERMAN SUMS WEIGHTED BY INCOMPLETE CHARACTER SUMS [PDF]
Journal of the Korean Mathematical Society, 2010 The main purpose of this paper is using estimates for char- acter sums and analytic methods to study the mean value involving the incomplete character sums, 2-th power mean of the inversion of Dirich- let L-function and general Kloosterman sums, and give four interesting asymptotic formulae for it.
Xiaobeng Zhang, Huaning Liu
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Bessel functions and Kloosterman integrals on GL(n) [PDF]
This paper will focus on the proof of local integrability ofBessel functions for GL(n) (p-adic case) by using the relationsbetween Bessel functions and local Kloosterman (orbital)integrals proved in several papers of E. M.
Miao, X.
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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
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Character sum, reciprocity, and Voronoi formula
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
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Generalized Dedekind sums and equidistribution mod 1
, 2015 Dedekind sums are well-studied arithmetic sums, with values uniformly distributed on the unit interval. Based on their relation to certain modular forms, Dedekind sums may be defined as functions on the cusp set of $SL(2,\mathbb{Z})$.
Burrin, Claire
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Testing the underdog entrepreneurship theory with specialised Australian immigrant data
Geographical Research, Volume 63, Issue 4, Page 533-552, November 2025.Using the 2021 Australian Census and Migrants Integrated Dataset (ACMID), we explore the explanatory value of Miller and Le Breton‐Miller’s underdog entrepreneurship theory (2017): examining its implications in the Australian context, finding some good support for it, and proposing some extensions. Abstract Migrants account for a significant proportion
Yan Tan, Laurence Lester
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General Kloosterman sums over the ring of Gaussian integers [PDF]
Ukrainian Mathematical Journal, 2007 The general Kloosterman sum K(m, n; k; q) over ℤ was studied by S. Kanemitsu, Y. Tanigawa, Yuan Yi, and Wenpeng Zhang in their research of the problem of D. H. Lehmer. In the present paper, we obtain similar estimates for K(α, β; k; γ) over ℤ[i]. We also consider the sum \(\tilde K(\alpha ,\beta ;h,q;k)\), which does not have an analog in the ring ℤ ...
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A new class of hyper-bent functions and Kloosterman sums [PDF]
, 2013 This paper is devoted to the characterization of hyper-bent functions. Several classes of hyper-bent functions have been studied, such as Charpin and Gong\u27s $\sum\limits_{r\in R}\mathrm{Tr}_{1}^{n} (a_{r}x^{r(2^m-1)})$ and Mesnager\u27s $\sum\limits_{
Yanfeng Qi, Chunming Tang
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, 1998 For a nontrivial additive characterλand a multiplicative characterχof the finite field withqelements (qis a power of an odd prime), the “Gauss” sum ∑λ(trw) overw∈SO(2n+1,q) and ∑χ(detw)λ(trw) overw∈O(2n+1,q) are considered.
Kim, Dae San
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Rethinking Support Policies: The Role of Belonging in Entrepreneurial Ecosystems
International Migration, Volume 63, Issue 6, November 2025.ABSTRACT This article explores the importance of belongingness in migrant entrepreneurs' (MEs) engagement within entrepreneurial ecosystems (EEs), focusing on emotional and social dimensions often overlooked in favour of structural factors. Through two case studies in Germany's Ruhr area, the article demonstrates how a strong sense of belonging ...
Alexandra David +2 more
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