Almost all short intervals containing prime numbers
Almost -representation. (Presque -représentations.)
Almost Constant Sequences and Well-Distribution in Compact Groups.
Almost Constant Sequences of Transformations.
"Almost every" algebraic number-field has a large class-number
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
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 in a metric space, it is proved the existence of an almost periodic sequence such that and , for all and some which depends on .
Almost periodicity of some error terms in prime number theory
Almost powers in the Lucas sequence
The famous problem of determining all perfect powers in the Fibonacci sequence and in the Lucas sequence 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 , with and , for all primes and indeed for all but primes . 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.
Almost product evaluation of Hankel determinants.
Almost regular quaternary quadratic forms
We investigate the almost regular positive definite integral quaternary quadratic forms. In particular, we show that every such form is -anisotropic for at most one prime number . Moreover, for a prime there is an almost regular -anisotropic quaternary quadratic form if and only if . We also study the genera containing some almost regular -anisotropic quaternary form. We show several finiteness results concerning the families of these genera and give effective criteria for almost regularity....
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.
Almost-primes represented by quadratic polynomials
Almost-sure growth rate of generalized random Fibonacci sequences
We study the generalized random Fibonacci sequences defined by their first non-negative terms and for n≥1, Fn+2=λFn+1±Fn (linear case) and ̃Fn+2=|λ̃Fn+1±̃Fn| (non-linear case), where each ± sign is independent and either + with probability p or − with probability 1−p (0<p≤1). Our main result is that, when λ is of the form λk=2cos(π/k) for some integer k≥3, the exponential growth of Fn for 0<p≤1, and of ̃Fn for 1/k<p≤1, is almost surely positive and given by ∫0∞log x dνk, ρ(x),...