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On the Number of Sparse RSA Exponents
(2002)
An RSA modulus is a product M = pl of two primes p and l. We show that for almost all RSA moduli M, the number of sparse exponents e (which allow for fast RSA encryption) with the property that gcd(e,φ(M)) = 1 (hence RSA ...
Multiplicative Structure of Values of the Euler Function
(2004)
We establish upper bounds for the number of smooth values of the Euler function. In particular, although the Euler function has
a certain “smoothing” effect on its integer arguments, our results show that, in fact, most ...
Congruences and Exponential Sums with the Euler Function
(2004)
We give upper bounds for the number of solutions to congruences with the Euler function φ(n) and with the Carmichael function λ(n). We also give nontrivial bounds for certain exponential sums involving φ(n). Analogous ...
Squares from products of integers
(2006)
Notice that 1_2_3_4+1 = 52 , 2_3_4_5+1 = 112 , 3_4_5_6+1 = 192 , . . . . Indeed, it is well known that the product of any four consecutive integers always differs by one from a perfect square. However, a little experimentation ...
QoS and channel aware packet bundling for VoIP traffic in cellular networks
(IEEE, 2009-09-16)
We study the problem of multiple packet bundling to improve spectral efficiency in cellular networks. The packet size of real-time data, such as VoIP, is often very small. However, the use of time division multiplexing ...
Hierarchical Bayesian Approach to Boundary Value Problems with Stochastic Boundary Conditions
(American Meteorological Society, 2003)
Boundary value problems are ubiquitous in the atmospheric and ocean sciences. Typical settings include bounded, partially bounded, global and limited area domains, discretized for applications of numerical models of
the ...
Shifts in the Spatio-Temporal Growth Dynamics of Shortleaf Pine
(Environmental and Ecological Statistics, 2007)
Previous studies focusing on the growth history of pinus echinata at the edge of its geographical range have suggested that changes in growth correspond to climatic and non-climatic (e.g., anthropogenic) factors. We employ ...
A Hierarchical Bayesian Non-linear Spatio-temporal Model for the Spread of Invasive Species with Application to the Eurasian Collared-Dove
(Environmental and Ecological Statistics, 2007)
Differential equation based advection-diffusion models have been used in atmospheric science to mimic complex processes such as weather and climate. Differential and partial-differential equations (PDE's) have become popular ...
Analysis of point-to-point packet delay in an operational network, Computer Networks
(Elesevier, 2007-09-12)
In this paper, we perform a detailed analysis of point-to-point packet delay in an operational tier-1 network. The point-to-point delay is the time experienced by a packet from an ingress to an egress point in an ISP, and ...
Hierarchical Bayesian Models for Predicting The Spread of Ecological Processes
(Ecological Society of America, 2003)
There is increasing interest in predicting ecological processes. Methods to accomplish such predictions must account for uncertainties in observation, sampling,
models, and parameters. Statistical methods for spatio-temporal ...