Boundary conditions for expanding domains
Bounded discrepancy sets
Bounded Lüroth expansions: applying Schmidt games where infinite distortion exists
We show that the set of numbers with bounded Lüroth expansions (or bounded Lüroth series) is winning and strong winning. From either winning property, it immediately follows that the set is dense, has full Hausdorff dimension, and satisfies a countable intersection property. Our result matches the well-known analogous result for bounded continued fraction expansions or, equivalently, badly approximable numbers. We note that Lüroth expansions have a countably infinite Markov partition,...
Bounded remainder sets
Boundedly expressible sets
For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved.
Boundedness of oriented walks generated by substitutions
Let be a fixed point of a substitution on the alphabet and let and . We give a complete classification of the substitutions according to whether the sequence of matrices is bounded or unbounded. This corresponds to the boundedness or unboundedness of the oriented walks generated by the substitutions.
Bounding hyperbolic and spherical coefficients of Maass forms
We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.
Bounding L-functions by class numbers
Bounding squares in second order recurrence sequences
Bounding the Coefficients of a Divisor of a Given Polynomial.
Bounding the maximum value of the real-valued sequence.
Bounds and computational results for exponential sums related to cusp forms
The aim of this paper is to present some computer data suggesting the correct size of bounds for exponential sums of Fourier coefficients of holomorphic cusp forms.
Bounds for arithmetic multiplicities.
Bounds for automorphic L-functions.
Bounds for automorphic L-functions. II.
Bounds for digital nets and sequences
Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
A bibliography of recent papers on lower bounds for discriminants of number fields and related topics is presented. Some of the main methods, results, and open problems are discussed.
Bounds for double zeta-functions
In this paper we shall derive the order of magnitude for the double zeta-functionof Euler-Zagier type in the region .First we prepare the Euler-Maclaurinsummation formula in a suitable form for our purpose, and then we apply the theory of doubleexponential sums of van der Corput’s type.
Bounds For Étale Capitulation Kernels II
Let be an odd prime and a cyclic -extension of number fields. We give a lower bound for the order of the kernel and cokernel of the natural extension map between the even étale -groups of the ring of -integers of , where is a finite set of primes containing those which are -adic.
Bounds for exponential sums