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We present a method for constructing almost periodic sequences and functions with values in a metric space. Applying this method, we find almost periodic sequences and functions with prescribed values. Especially, for any totally bounded countable set $X$ in a metric space, it is proved the existence of an almost periodic sequence ${ψ_{k}}_{k \in ℤ}$ such that ${ψ_{k}; k \in ℤ} = X$ and $ψ_{k} = ψ_{k + l q (k)}$ , $l \in ℤ$ for all $k$ and some $q (k) \in ℕ$ which depends on $k$ .

Almost periodicity of some error terms in prime number theory

Jerzy Kaczorowski, Olivier Ramaré (2003)

Acta Arithmetica

Almost powers in the Lucas sequence

Yann Bugeaud, Florian Luca, Maurice Mignotte, Samir Siksek (2008)

Journal de Théorie des Nombres de Bordeaux

The famous problem of determining all perfect powers in the Fibonacci sequence ${(F_{n})}_{n \geq 0}$ and in the Lucas sequence ${(L_{n})}_{n \geq 0}$ has recently been resolved [10]. The proofs of those results combine modular techniques from Wiles’ proof of Fermat’s Last Theorem with classical techniques from Baker’s theory and Diophantine approximation. In this paper, we solve the Diophantine equations $L_{n} = q^{a} y^{p}$ , with $a > 0$ and $p \geq 2$ , for all primes $q < 1087$ and indeed for all but $13$ primes $q < 10^{6}$ . Here the strategy of [10] is not sufficient due to the sizes of...

Almost primality of group orders of elliptic curves defined over small finite fields.

Koblitz, Neal (2001)

Experimental Mathematics

Almost product evaluation of Hankel determinants.

Eğecioğlu, Ömer, Redmond, Timothy, Ryavec, Charles (2008)

The Electronic Journal of Combinatorics [electronic only]

Almost regular quaternary quadratic forms

Jacek Bochnak, Byeong-Kweon Oh (2008)

Annales de l’institut Fourier

We investigate the almost regular positive definite integral quaternary quadratic forms. In particular, we show that every such form is $p$ -anisotropic for at most one prime number $p$ . Moreover, for a prime $p$ there is an almost regular $p$ -anisotropic quaternary quadratic form if and only if $p \leq 37$ . We also study the genera containing some almost regular $p$ -anisotropic quaternary form. We show several finiteness results concerning the families of these genera and give effective criteria for almost regularity....

Currently displaying 1221 – 1240 of 1970

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Displaying 1221 – 1240 of 1970

All Two-Gnerator Fuchsian Group.

Alle großen ganzen Zahlen lassen sich als Summe von höchstens 71 Primzahlen darstellen

Allgemeine Theorie der kettenbruchähnlichen Algorithmen, in welchen jede Zahl aus drei vorhergehenden gebildet wird.

Almost all short intervals containing prime numbers

Almost $C_{p}$ -representation. (Presque $C_{p}$ -représentations.)

Almost Constant Sequences and Well-Distribution in Compact Groups.

Almost Constant Sequences of Transformations.

Almost perfect powers in arithmetic progression

Almost perfect powers in consecutive integers

Almost periodic functions and uniform distribution mod 1.

Almost periodic sequences and functions with given values

Almost periodicity of some error terms in prime number theory

Almost powers in the Lucas sequence

Almost primality of group orders of elliptic curves defined over small finite fields.

Almost product evaluation of Hankel determinants.

Almost regular quaternary quadratic forms

Almost squares in arithmetic progression (II)

Almost-even functions as solutions of a linear functional equation

Almost-Primes in Short Intervals.

Almost-Primes Represented by Quadratic Polynomials.

Currently displaying 1221 – 1240 of 1970