Results 201 to 210 of about 84,599 (243)

Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus. [PDF]

Calc Var Partial Differ Equ
Carrillo JA, Salmaniw Y.
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Linear Stability of Schwarzschild-Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations. [PDF]

Commun Math Phys
Graf O, Holzegel G.
europepmc   +1 more source

Emotion socialization within adolescent friendships: Considering the role of friends' emotion regulation, perceptions of friends, and expectations of support. [PDF]

J Res Adolesc
Borowski SK, Zeman JL.
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Effect of HDL disk and LDL dimer presence on lipoprotein particle number determination and subclassification. [PDF]

Anal Bioanal Chem
Kuklenyik Z, Ivanova AA, Drinkard LE, Schieltz DM, Jones JI, Bierbaum K, Toth CA, Gardner MS, Parks BA, Andrews M, Kusovschi JD, Sultan JA, Lehtikoski A, Rees JC, Santana WI, Connor V, Leszczynski EC, McGarrah RW, Sarzynski MA, Kraus WE, Barr JR.   +20 more
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Temporal processes of information transmission from visual search to behavior. [PDF]

J Vis
Lappin JS, Bell HH.
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An estimate for Heilbronn's exponential sum

, 2016
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On Hua's estimates for exponential sums

Mathematika, 1987
Let f(x)\(\in {\mathbb{Z}}[X]\), \(e_ q(t)=\exp (2\pi i/q)\) and \(S(q,f)=\sum _{0\leq ...
exaly   +2 more sources

An Application of Exponential Sum Estimates

Acta Mathematica Sinica, English Series, 2004
Let \(p\) be an odd prime, \(\delta\) a fixed real with \(0 < \delta < 2\), and \(k, l\) fixed positive integers. Let \(N_{k, l}(p, \delta)\) denote the number of solutions of the inequality \[ \left| \left\{ a^k/p \right\} + \left\{ b^k/p \right\} - \left\{ \bar a^l/p \right\} - \left\{ \bar b^l/p \right\} \right| < \delta \] in \(a, b \in \mathbb F_p^
Yi, Yuan, Zhang, Wenpeng
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The Estimation of Complete Exponential Sums

Canadian Mathematical Bulletin, 1985
AbstractThis paper proves a conjecture of Loxton and Smith about the size of the exponential sum S(f;q) formed by summing exp (2πif(x)/q) over x mod q, where f is a polynomial of degree n with integer coefficients. It is shown that |S(f;q)| ≤ Cfdn(q)qe/(e+1), where e is the maximum of the orders of the complex zeros of f'.
Loxton, J. H., Vaughan, R. C.
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Improvements of 𝑝-adic estimates of exponential sums

Proceedings of the American Mathematical Society, 2022
Let n , r n, r and f f be positive integers. Let p p be a prime number and ψ \psi be an arbitrary fixed nontrivial additive character of the finite field F q \mathbb F_q with q =
Feng, Yulu, Hong, Shaofang
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