On a Class of Lacunary Almost Newman Polynomials Modulo <i>P</i> and Density Theorems
نویسندگان
چکیده
Abstract The reduction modulo p of a family lacunary integer polynomials, associated with the dynamical zeta function ζ β ( z )of -shift, for β> 1 close to one, is investigated. We briefly recall how this correlated problem Lehmer. A variety questions raised about their numbers zeroes in
منابع مشابه
On Lacunary Almost Convergent Sequences
The purpose of this paper is to define and study the spaces [ĉ,M, p](∆u , q, s), [ĉ,M, p, ] θ 0(∆ m u , q, s) and [ĉ,M, p, ] θ ∞(∆ m u , q, s) of lacunary convergent sequences. We also study some inclusion relations between these spaces and some properties and theorems. 2000 Mathematics Subject Classification:40D05, 40A05. 1.Introduction and definitions Let w denote the set of all complex seque...
متن کاملAlmost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers
The purpose of this paper is to introduce the concepts of almost lacunary statistical convergence and strongly almost lacunary convergence of sequences of fuzzy numbers. We give some relations related to these concepts. We establish some connections between strongly almost lacunary convergence and almost lacunary statistical convergence of sequences of fuzzy numbers. It is also shown that if a ...
متن کاملAlmost strict total positivity and a class of Hurwitz polynomials
We establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding “extremal” Hurwitz p...
متن کاملOn testing the divisibility of lacunary polynomials by cyclotomic polynomials
An algorithm is described that determines whether a given polynomial with integer coefficients has a cyclotomic factor. The algorithm is intended to be used for sparse polynomials given as a sequence of coefficientexponent pairs. A running analysis shows that, for a fixed number of nonzero terms, the algorithm runs in polynomial time.
متن کاملFixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Uniform distribution theory
سال: 2022
ISSN: ['1336-913X', '2309-5377']
DOI: https://doi.org/10.2478/udt-2022-0007