Results 51 to 60 of about 9,640 (238)
On the Lang-Trotter and Sato-Tate Conjectures on Average for Polynomial Families of Elliptic Curves
, 2012 We show that the reductions modulo primes $p\le x$ of the elliptic curve $$ Y^2 = X^3 + f(a)X + g(b), $$ behave as predicted by the Lang-Trotter and Sato-Tate conjectures, on average over integers $a \in [-A,A]$ and $b \in [-B,B]$ for $A$ and $B ...
Shparlinski, Igor E.
core +1 more source
Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source
On exponential sums over primes in arithmetic progressions
Tsukuba Journal of Mathematics, 2000 Let \(\Lambda(n)\) denote the von Mangoldt function, \(c\) be a non-zero integer, \(\alpha\) be a real number, and suppose that integers \(q\) and \(a\) satisfy \(|\alpha-a/q|\leq q^{-2}\), \(q\geq 1\) and \((q,a)=1\). Suppose also that an arithmetical function \(\lambda(d)\) is ``well-factorable of level \(D\)'', that is, whenever \(D=D_1D_2\) with ...
openaire +2 more sources
Bounds of triple exponential sums with mixed exponential and linear terms
, 2018 We establish bounds of triple exponential sums with mixed exponential and linear function. The method we use is by Shparlinski together with a bound of additive energy from Roche-Newton, Rudnev and Shkredov.Comment: Corrected a ...
Yau, Kam Hung
core +1 more source
Advanced Engineering Materials, EarlyView.In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar +2 more
wiley +1 more source
Simultaneous Integer Values of Pairs of Quadratic Forms [PDF]
, 2013 We prove that a pair of integral quadratic forms in 5 or more variables will simultaneously represent "almost all" pairs of integers that satisfy the necessary local conditions, provided that the forms satisfy a suitable nonsingularity condition.
Heath-Brown, D. R., Pierce, L. B.
core
Advanced Engineering Materials, EarlyView.Fungal mycelia grown into biodegradable scaffolds and infused with titania nanoparticles show enhanced ultraviolet shielding, thermal protection, and surface nonwettability. Properties were tuned by drying methods, revealing structure–function relationships.
Juwon S. Afolayan +2 more
wiley +1 more source
The twin prime conjecture [PDF]
, 2014 This is an exposition of recent developments in the theory of bounded differences between primes. Readers are expected to be beginners of analytic number theory.
Motohashi, Yoichi
core
Advanced Functional Materials, EarlyView.In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund +6 more
wiley +1 more source