Discrepancy Operators and Numerical Integration on Compact Groups.
Discrete analogues of singular and maximal Radon transforms.
Discrete and dense subgroup problems. (Problemas con subgrupos discretos y subgroupos densos.)
Discrete limit theorems for general Dirichlet series. III
Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.
Discrete limit theorems for the Laplace transform of the Riemann zeta-function
In the paper discrete limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the Riemann zeta-function are proved.
Discrete limit theorems for the Mellin transform of the Riemann zeta-function
Discrete planes, -actions, Jacobi-Perron algorithm and substitutions
We introduce two-dimensional substitutions generating two-dimensional sequences related to discrete approximations of irrational planes. These two-dimensional substitutions are produced by the classical Jacobi-Perron continued fraction algorithm, by the way of induction of a -action by rotations on the circle. This gives a new geometric interpretation of the Jacobi-Perron algorithm, as a map operating on the parameter space of -actions by rotations.
Discrete self-similar multifractals with examples from algebraic number theory
Discrete universality of the -functions of elliptic curves.
Discrete Value -- Distribution of L-functions of Elliptic Curves
Discretization of prime counting functions, convexity and the Riemann hypothesis
We study tails of prime counting functions. Our approach leads to representations with a main term and an error term for the asymptotic size of each tail. It is further shown that the main term is of a specific shape and can be written discretely as a sum involving probabilities of certain events belonging to a perturbed binomial distribution. The limitations of the error term in our representation give us equivalent conditions for various forms of the Riemann hypothesis, for classical type zero-free...
Discriminant algebras and adjoints of quadratic forms.
Discriminants of certain algebraic number fields.
Discriminants of Chebyshev radical extensions
Let be any integer and fix an odd prime . Let denote the -fold composition of the Chebyshev polynomial of degree shifted by . If this polynomial is irreducible, let , where is a root of . We use a theorem of Dedekind in conjunction with previous results of the author to give conditions on that ensure is monogenic. For other values of , we apply a result of Guàrdia, Montes, and Nart to obtain a formula for the discriminant of and compute an integral basis for the ring of integers...
Discriminants of etale algebras and related structures.
Discriminants of number fields defined by trinomials
Disjoint Beatty sequences.
Disjoint covering systems and product-invariant relations
Disjoint covering systems with precisely one multiple modulus
Disjoint sequences in Boolean algebras
We deal with the system of all sequential convergences on a Boolean algebra . We prove that if is a sequential convergence on which is generated by a set of disjoint sequences and if is any element of , then the join exists in the partially ordered set . Further we show that each interval of is a Brouwerian lattice.