Results 31 to 40 of about 108 (105)
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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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
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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
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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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Tijdschrift voor Economische en Sociale Geografie, Volume 116, Issue 4, Page 508-530, September 2025.Abstract Research on segregation and economic inequality is often limited to major capitals and conurbations, neglecting smaller cities. This oversight can lead to public policies based on insights that may not be universally applicable. Leveraging geo‐coded register data, this study addresses this problem in the case of the Netherlands by computing ...
Javier San Millán +2 more
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Triple sums of Kloosterman sums and the discrepancy of modular inverses
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We investigate the distribution of modular inverses modulo positive integers c$c$ in a large interval. We provide upper and lower bounds for their box, ball, and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.
Valentin Blomer +2 more
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Pupil Fluctuations Signal Intentional Forgetting of Natural Scenes
Psychophysiology, Volume 62, Issue 8, August 2025.ABSTRACT Studies have revealed that information can be intentionally forgotten when instructed, commonly studied in the laboratory with the directed forgetting (DF) procedure. The current investigation examined pupillometric signals associated with intentional forgetting, as the pupil reflects the activity in the locus coeruleus–norepinephrine (LC‐NE ...
Huiyu Ding +2 more
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Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
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Generalized Kloosterman Sums from M2-branes
, 2017 Kloosterman sums play a special role in analytic number theory, for expressing the integer Fourier coefficients of modular forms as an infinite sum of Bessel functions, also known as Rademacher formula. The generalization to vector-valued modular forms is known as generalized Kloosterman sums.
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Developing Conflict Monitoring Abilities Predict Children's Revision of an Intuitive Theory
Child Development, Volume 96, Issue 3, Page 1207-1219, May/June 2025.ABSTRACT We investigated the role of children's conflict monitoring skills in revising an intuitive scientific theory. Children aged 5 to 9 (N = 177; 53% girls, data collected in Germany from 2019‐2023) completed computer‐based tasks on water displacement, a concept prone to misconceptions.
Elfriede R. Holstein +3 more
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