Results 31 to 40 of about 110 (97)
On exotic matrix exponential sums and Bessel–Speh functions
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
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Clinical Psychology &Psychotherapy, Volume 33, Issue 3, May/June 2026.ABSTRACT High symptom heterogeneity in obsessive‐compulsive disorder (OCD) confounds clinical and research progress. Two notable models organize symptoms dimensionally. The first is a four‐factor model describing manifest symptoms related to germs/contamination, harm/injury/bad luck, unacceptable thoughts and symmetry.
Jordan Till +2 more
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Neural Oscillations Track Subjective and Pupillary Arousal During Naturalistic Movie Viewing
European Journal of Neuroscience, Volume 63, Issue 9, May 2026.In this study, participants watched an emotionally evocative movie while EEG, pupil size and continuous subjective arousal annotations were recorded. By extracting the mean group arousal signatures, we revealed a cross‐modal convergence (r = 0.40) between the pupillary and subjective measures.
Magdalena Camenzind +6 more
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Asymptotic value of monitoring structures in stochastic games
Theoretical Economics, Volume 21, Issue 2, Page 535-574, May 2026.This paper studies how improved monitoring affects the limit equilibrium payoff set for stochastic games with imperfect public monitoring. We introduce a simple generalization of Blackwell garbling called weighted garbling in order to compare different monitoring structures for this class of games.
Daehyun Kim, Ichiro Obara
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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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Distribution of integer points on determinant surfaces and a mod‐p analogue
Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
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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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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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Neurocognitive Dynamics of Translating Information From a Spatial Map Into Action
Psychophysiology, Volume 63, Issue 3, March 2026.ABSTRACT How do we translate information from a spatial map to action in our immediate surroundings? Despite the widespread use of various tools for orientation, from paper maps to GPS, this fundamental question remains unanswered in our understanding of human spatial navigation.
Maud Saulay‐Carret +3 more
wiley +1 more source
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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