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Now showing items 41-60 of 161
Incomplete exponential sums and Diffie-Hellman triples
(Cambridge University Press, 2006)
Let p be a prime and 79 an integer of order t in the multiplicative group modulo p. In this paper, we continue the study of the distribution of Diffie-Hellman triples (V-x, V-y, V-xy) by considering the closely related ...
The depth of the associated graded ring of ideals with any reduction number
(2002)
Let R be a local Cohen-Macaulay ring, let I be an R-ideal, and let G be the associated graded ring of I. We give an estimate for the depth of G when G is not necessarily Cohen-Macaulay. We assume that I is either equimultiple, ...
Values of Arithmetical Functions Equal to a Sum of Two Squares
(Oxford University Press, 2005)
Let '(n) denote the Euler function. In this paper, we determine the order of growth for the number of positive integers n ≤ x for which
'(n) is the sum of two square numbers. We also obtain similar results for the Dedekind ...
Test ideals and flat base change problems in tight closure theory
(2002)
Test ideals are an important concept in tight closure theory and their behavior via flat base change can be very difficult to understand. Our paper presents results regarding this behavior under flat maps with reasonably ...
Distances sets that are a shift of the integers and Fourier basis for planar convex sets
(2007)
The aim of this paper is to prove that if a planar set $A$ has a difference set $\Delta(A)$ satisfying $\Delta(A)\subset \Z^++s$ for suitable $s$ than $A$ has at most 3 elements. This result is motivated by the conjecture ...
Distributional Properties of the Largest Prime Factor
(University of Michigan, 2005)
Let P(n) denote the largest prime factor of an integer n ≥ 2, and put P(1) = 1. In this paper, we study the distribution of the sequence {P(n) : n ≥ 1} over the set of congruence classes modulo an integer q ≥ 2, and we ...
Dynamics of Relativistic Flows
(arXiv, 2004)
Dynamics of relativistic outflows along the rotation axis of a Kerr black hole is investigated using a simple model that takes into account the relativistic tidal force of the central source as well as the Lorentz force ...
Tidal dynamics in Kerr spacetime
(Institute of Physics, 2006)
The motion of free nearby test particles relative to a stable equatorial circular
geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear
generalized Jacobi equation can be transformed in this ...
On the de la Garza Phenomenon
(Institute of Mathematical Statistics, 2010)
Deriving optimal designs for nonlinear models is, in general, challenging. One crucial step is to determine the number of support points needed. Current tools handle this on a case-by-case basis. Each combination of ...
Universal Optimality in Balanced Uniform Crossover Design
(Institute of Mathematical Statistics, 2003)
Kunert [Ann. Statist. 12 (1984) 1006-1017] proved that, in the class of repeated measurement designs based on t treatments, p = t periods and n = λt experimental units, a balanced uniform design is universally optimal
for ...
Arithmetic properties of φ(n)/λ(n) and the structure of the multiplicative group modulo n
(European Mathematical Society, 2006)
For a positive integer n, we let φ(n) and λ(n) denote the Euler function and the Carmichael function, respectively. We define ξ(n) as the ratio φ(n)/λ(n) and study various arithmetic properties of ξ(n).
Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates
(Institute of Physics, 2004)
Fermi coordinates are the natural generalization of inertial Cartesian
coordinates to accelerated systems and gravitational fields. We study themotion
of ultrarelativistic particles and light rays in Fermi coordinates ...
A Gravitational Mechanism for the Acceleration of Ultrarelativistic Particles
(arXiv, 2005)
Imagine a swarm of free particles near a point P outside a gravitating mass M and a free reference particle at P that is on a radial escape trajectory away from M. Relative to this reference particle and in a Fermi normal ...
Teacher Retirement Benefits
(Education Next, 2009)
's public schools spent $187 billion in salaries and $59 billion in benefits for instructional personnel. Total benefits added about 32 percent to salaries, up from 25 percent in 1999-2000. The increase reflects the well-known rise in health insurance costs...
Acceleration-induced nonlocality: kinetic memory versus dynamic memory
(arXiv, 2001)
The characteristics of the memory of accelerated motion in Minkowski spacetime are discussed within the framework of the nonlocal theory of accelerated observers. Two types of memory are distinguished: kinetic and dynamic. ...
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
(American Institute of Physics, 1997)
The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational ...
The structure of F-pure rings
(2003)
For a reduced F-finite ring R of characteristic p >0 and q=p^e one can write R^{1/q} = R^{a_q} \oplus M_q, where M_q has no free direct summands over R. We investigate the structure of F-finite, F-pure rings R by studying ...
Sustained resonance: a binary system perturbed by gravitational radiation
(American Institute of Physics, 2000)
The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves ...
MU's pioneering art exhibition is homing in on ancient Greece
(University of Missouri. Alumni Association, 1993)
"In a way, a riddle will be on exhibit this fall at Mizzou's Museum of Art and Archaeology. The clues might be found in the painted pottery and bronze sculptures, in the jewelry and artifacts that make up this exhibition ...
Exponential Sums over Mersenne Numbers
(2004)
We give estimates for exponential sums of the form Σn≤N Λ(n) exp(2πiagn/m), where m is a positive integer, a and g are integers relatively prime to m, and Λ is the von Mangoldt function. In particular, our results yield ...