Now showing items 1-20 of 62
Organizational Structure and the Diversification Discount: Evidence from Commercial Banking
This paper provides evidence on organizational structure, geographic diversification, and performance at bank holding companies (BHCs). First, we show that a BHC's member banks benefit from access to the parent organization's ...
Can Entrepreneurship Be Taught?
Is entrepreneurship an innate ability or an acquired skill? Can entrepreneurial acumen be achieved and enhanced through education and training, or are certain people “born” to be entrepreneurs or to act entrepreneurially? ...
Whittaker-Fourier Coefficients of Metaplectic Eisenstein Series
It is shown that the Fourier-Whittaker coefficients of Eisenstein series on the n-fold cover of GL(n) are L-functions, improving prior results of T. Suzuki.
Short Kloosterman Sums for Polynomials over Finite Fields
We extend to the setting of polynomials over a finite field certain estimates for short Kloosterman sums originally due to Karatsuba. Our estimates are then used to establish some uniformity of distribution results in the ...
Character Sums over Integers with Restricted g-ary Digits
We establish upper bounds for multiplicative character sums and exponential sums over sets of integers that are described by various properties of their digits in a fixed base g ≥ 2. Our main tools are the Weil and ...
Matrix inequalities with applications to the theory of iterated kernels
For an m × n matrix A with nonnegative real entries, Atkinson, Moran and Watterson proved the inequality s(A)3 ≤ mns(AAtA), where At is the transpose of A, and s(·) is the sum of the entries. We extend this result to finite ...
On the Number of Sparse RSA Exponents
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
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
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
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 ...
Decoupling inequalities for the tail probabilities of multivariate u-statistics
In this paper we present a decoupling inequality that shows that multivariate U-statistics can be studied as sums of (conditionally) independent random variables. This result has important implications in several areas of ...
On a weak type (1, 1) inequality for a maximal conjugate function
In a celebrated paper, Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of Hp spaces for 0 < p < ∞. In this paper, we show that their method extends to higher dimensions ...
Bounds on the tail probability of u-statistics and quadratic forms
The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear k-correlations of n > k independent random variables.
Values of the Euler Function in Various Sequences
Let φ (n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investigate the equation φ (n)r = λ(n)s, where r ≥ s ≥ 1 are fixed positive integers. We also study those positive integers n, ...
On singular integral and martingale transforms
Linear equivalences of norms of vector-valued singular integral operators and vector-valued martingale transforms are studied. In particular, it is shown that the UMD(p)-constant of a Banach space X equals the norm of the ...
Lyapunov theorems for Banach spaces
We present a spectral mapping theorem for semigroups on any Banach space E. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for E-valued functions. This characterization ...
The spectrum of the kinematic dynamo operator for an ideally conducting fluid
The spectrum of the kinematic dynamo operator for an ideally conducting fluid and the spectrum of the corresponding group acting in the space of continuous divergence free vector fields on a compact Riemannian manifold ...
The Hardy operator and Boyd indices
We give necessary and sufficient conditions for the Hardy operator to be bounded on a rearrangement invariant quasi-Banach space in terms of its Boyd indices.
Complemented subspaces of spaces obtained by interpolation
If Z is a quotient of a subspace of a separable Banach space X, and V is any separable Banach space, then there is a Banach couple (A0,A1) such that A0 and A1 are isometric to X⊕V, and any intermediate space obtained using ...
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 ...