Results 51 to 60 of about 146 (124)
On the general Kloosterman sum and its fourth power mean
Journal of Number Theory, 2004 Let \(q \geq 3\) be a positive integer and let \(\chi\) denote a Dirichlet character mod \(q\). For any integers \(m\) and \(n\), the general Kloosterman sum \(S(m ,n , \chi ; q)\) is defined as follows: \[ S(m,n, \chi ; q) = \mathop{{\sum}^*}_{a=1}^q \chi(a) e\left(\frac {ma+n \overline{a}}{q} \right), \] where \(e(y) = e^{2 \pi i y}\) and \(\sum ...
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A note on the fourth power mean of the generalized Kloosterman sums
Journal of Number Theory, 2017 Let \(p\) be an odd prime, and let \(\alpha\geq 2\) be an integer. Let \(\chi\) be any non-primitive character modulo \(p^{\alpha}\) satisfying \(\chi\neq \chi_0\), the principal character. Let \(n\) be an integer with \((n, p)=1\). This paper proves that \[ \mathop{\sum_{m=1}^{p^{\alpha}}}_{(m,p)=1}\left|\sum_{a=1}^{p^{\alpha}}\chi(a)e\left(\frac{ma+n\
Zhang, Wenpeng, Shen, Shimeng
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Weakly special threefolds and nondensity of rational points
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch +2 more
wiley +1 more source
Brain and Behavior, Volume 15, Issue 9, September 2025.Prevalence and risk of violence among people with disabilities in China is higher than global estimates. Significant moderators: age (preschool highest), perpetrator (caregivers > peers), violence type (emotional > physical), and educational setting (mainstream school > special school).
Tao Tao, Wangqian Fu, Ying Yuan
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GENERALIZED KLOOSTERMAN SUMS AND THE FOURIER COEFFICIENTS OF CUSP FORMS.
, 1973 GENERALIZED KLOOSTERMAN SUMS AND THE FOURIER COEFFICIENTS OF CUSP ...
LOUISE ALAYNE STEPHENSON. PARSON (7982624)
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JCPP Advances, Volume 5, Issue 3, September 2025.Abstract Background Emotion and peer problems tend to increase in autistic young people during adolescence. However, the extent to which endogenous (e.g., pubertal maturation) and exogenous (e.g., school adjustment, bullying) factors contribute to trajectories of emotion and peer problems in autistic young people is unclear. Methods Using data from the
Erin O. Dawe‐Lane +3 more
wiley +1 more source
Character sums and abelian Ramanujan graphs
, 1992 Let F be a finite field of q elements. In this paper we obtain several estimates on character sums derived from the Riemann hypothesis for curves over F. In particular, we establish an estimate on twisted generalized Kloosterman sums as conjectured by P.
Feng, Keqin, Li, Wen-Ch'ing Winnie
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The Plant Genome, Volume 18, Issue 3, September 2025.Abstract Multispectral leaf canopy reflectance as measured by unmanned aerial vehicles is the result of genetic and environmental interactions driving plant physiochemical processes. These measures can then be used to construct relationship matrices for modeling genetic main effects.
Muyideen Yusuf +4 more
wiley +1 more source
Ecological Resonance Is Reflected in Human Brain Activity
Psychophysiology, Volume 62, Issue 9, September 2025.ABSTRACT We designed an object interception task using virtual reality and mobile brain/body imaging to test two core hypotheses of ecological psychology and radical embodied cognitive (neuro)science: the ecological resonance hypothesis and the information‐based control laws hypothesis.
Vicente Raja, Klaus Gramann
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Kloosterman sums over finite Frobenius rings
, 2019 We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Frobenius rings. We prove a number of identities for twisted Kloosterman sums, loosely clustered around moment computations.Comment: 27 ...
Nica, Bogdan
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