Results 61 to 70 of about 16,055 (246)
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
wiley +1 more source
One-sided Variations on Tries: Path Imbalance, Climbing, and Key Sampling [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 One-sided variations on path length in a trie (a sort of digital trees) are investigated: They include imbalance factors, climbing under different strategies, and key sampling.
Costas A. Christophi, Hosam M. Mahmoud
doaj +1 more source
Scale‐dependent effects of biodiversity and stability on marine ecosystem dynamics
Ecography, Volume 2025, Issue 8, August 2025.The global biodiversity loss is causing abrupt shifts in the structure and functioning of ecosystems with severe ecological and socio‐economic consequences. Therefore, improving our understanding of ecosystem dynamics and regime shifts, as well as the stabilizing role of biodiversity across multiple scales is needed.
Louise C. Flensborg +4 more
wiley +1 more source
The n-dimensional distributional Mellin transformation
International Journal of Mathematics and Mathematical Sciences, 1983 The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,d The standard theorems on analyticity, uniqueness and continuity are proved.
Sunil Kumar Sinha
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Remote Sensing in Ecology and Conservation, Volume 11, Issue 4, Page 472-489, August 2025.To achieve the UN's goal of protecting 30% of oceans by 2030, effective management and detailed seafloor mapping are essential, especially in the mesophotic zone. We present a new workflow combining high‐resolution synthetic aperture sonar (SAS) and bathymetry surveys for efficient habitat characterization. In 6 h, we mapped ~5 km2 of a mesophotic reef,
Ole Johannes Ringnander Sørensen +12 more
wiley +1 more source
Mellin transforms and asymptotics [PDF]
Acta Informatica, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FLAJOLET, P., GOLIN, M.
openaire +3 more sources
Aquatic Conservation: Marine and Freshwater Ecosystems, Volume 35, Issue 7, July 2025.ABSTRACT Marine protected areas (MPAs) are critical tools for conserving biodiversity and managing fisheries, yet their effectiveness must be regularly evaluated to ensure they meet conservation goals. This study assessed the ecological effects of an MPA established in 2002 in Port Phillip Bay, Victoria, Australia.
Sasha K. Whitmarsh +3 more
wiley +1 more source
On Analytic Properties of the Photon Polarization Function in a Background Magnetic Field
, 2002 We examine the analytic properties of the photon polarization function in a background magnetic field, using the technique of inverse Mellin transform.
Adler +14 more
core +1 more source
On the Ranges of Mellin Multiplier Transformations
Journal of Mathematical Analysis and Applications, 1996 A transformation \(T \in [{\mathfrak L}_{\mu, k}]\) such that \((MTf) (s) = m(s) (Mf) (s)\) is called a multiplier transformation in connection with the Mellin transformation \(M\). For the cases in which \(m(s)\) has multiple zeros, theorems concerning the ranges of such multiplier transformations are given here.
openaire +3 more sources
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
wiley +1 more source