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Boundedly expressible sets

Jaroslav Hančl, Jan Šustek (2009)

Czechoslovak Mathematical Journal

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

F. M. Dekking, Z.-Y. Wen (1996)

Journal de théorie des nombres de Bordeaux

Let x = x 0 x 1 ⋯ be a fixed point of a substitution on the alphabet a , b , and let U a = - 1 - 1 0 1 and U b = 1 1 0 1 . We give a complete classification of the substitutions σ : a , b ☆ according to whether the sequence of matrices U x 0 U x 1 ⋯ U x n n = 0 ∞ 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

Valentin Blomer, Farrell Brumley, Alex Kontorovich, Nicolas Templier (2014)

Journal de Théorie des Nombres de Bordeaux

We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.

Bounds for double zeta-functions

Isao Kiuchi, Yoshio Tanigawa (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this paper we shall derive the order of magnitude for the double zeta-functionof Euler-Zagier type in the region 0 ≤ ℜ s j < 1 ( j = 1 , 2 ) .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

Mohsen Asghari-Larimi, Abbas Movahhedi (2009)

Annales mathématiques Blaise Pascal

Let p be an odd prime and E / F a cyclic p -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 K -groups of the ring of S -integers of E / F , where S is a finite set of primes containing those which are p -adic.

Bounds for frequencies of residues of second-order recurrences modulo p r

Walter Carlip, Lawrence Somer (2007)

Mathematica Bohemica

The authors examine the frequency distribution of second-order recurrence sequences that are not p -regular, for an odd prime p , and apply their results to compute bounds for the frequencies of p -singular elements of p -regular second-order recurrences modulo powers of the prime p . The authors’ results have application to the p -stability of second-order recurrence sequences.

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