Hardy-Bohr theorems

Hardy-Littlewood Theorems for A-Harmonic Tensors

Ergodic theorems along sequences and Hardy fields.

Let a(x) be a real function with a regular growth as x --> infinity. [The precise technical assumption is that a(x) belongs to a Hardy field.] We establish sufficient growth conditions on a(x) so that the sequence ([a(n)])(infinity)(n=1) is a good averaging sequence in L2 for the pointwise ergodic theorem. A sequence (an) of positive integers is a good averaging sequence in L2 for the pointwise...

Binary Additive Problems: Theorems of Landau and Hardy-littlewood Type

We prove theorems of Landau and Hardy-Littlewood type for Goldbach, Chen, Lemoime-Levy and other binary partitions of positive integers. We also pose some new conjectures.

A Bohr-Langmuir Transformation.

tribution of the 5 classes of build in the progeny of various matings show a difference in distribution, in means and in variability as measured by the standard deviation or the coefficient of variability, figures 4 and 5. This greater variability in the progeny of fleshy as compared with slender parents is still shown even whenever allowance is made .for the slightly greater range of classes o...

The Bohr Radius Of

We show that the Bohr radius of the polydisk D behaves asymptotically as √ (logn)/n. Our argument is based on a new interpolative approach to the Bohnenblust–Hille inequalities which allows us to prove, among other results, that the polynomial Bohnenblust–Hille inequality is subexponential.