Cofinite subsets of asymptotic bases for the positive integers
نویسندگان
چکیده
منابع مشابه
A Marstrand Theorem for Subsets of Integers
A classical result of Marstrand states: if K1,K2 are Borel subsets of R, then dimH(K1 + λK2) = min{1,dimH(K1) + dimH(K2)} for Lebesgue almost every λ ∈ R (here dimH(X) = Hausdorff dimension of X). In this talk we suggest a counting dimension dimZ for subsets of integers and prove that, under suitable conditions on two subsets E,F ⊂ Z, dimZ(E + bλF c) = min{1,dimZ(E) + dimZ(F )} for Lebesgue alm...
متن کاملOn the Asymptotic Formula for the Number of Plane Partitions of Positive Integers
and the rows and columns are arranged in decreasing order: ωi,j ≥ ωi+1,j, ωi,j ≥ ωi,j+1 for all i, j ≥ 1. The non-zero entries ωi,j > 0 are called parts of ω. Sometimes, for the sake of brevity, the zeroes in the array (1) are deleted. For instance, the abbreviation 3 2 1 1 1 is assumed to present a plane partition of n = 8 having 2 rows and 5 parts. It seems that MacMahon was the first who int...
متن کاملKronecker Constants for Finite Subsets of Integers
A set of integers S is called ε-Kronecker if every function on S of modulus one can be approximated uniformly to within ε by a character. The least such ε is called the ε-Kronecker constant. We transform the problem of calculating ε-Kronecker constants for finite sets of d elements into a geometric optimization problem. Using this approach we can explicitly determine the ε-Kronecker constant fo...
متن کاملOn automatic subsets of the Gaussian integers
Suppose that a and b are multiplicatively independent Gaussian integers, that are both of modulus ≥ √ 5. We prove that there exist a X ⊂ Z[i] which is a-automatic but not b-automatic. This settles a problem of Allouche, Cateland, Gilbert, Peitgen, Shallit, and Skordev.
متن کاملstudy of cohesive devices in the textbook of english for the students of apsychology by rastegarpour
this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...
ذخیره 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: Journal of Number Theory
سال: 1985
ISSN: 0022-314X
DOI: 10.1016/0022-314x(85)90027-7