منابع مشابه
On uniform distribution modulo one
We introduce an elementary argument to the theory of distribution of sequences modulo one.
متن کاملUniform Distribution modulo 1 of the Harmonic Prime Factor of an Integer
for the arithmetic mean of the distinct prime factors of n, then pa(n) is uniformly distributed modulo 1. Furthermore, it was also shown that for large x the number of n ≤ x such that pa(n) is an integer of order of magnitude O(x/ log log x). This was made more precise by the first author in [4], who showed that the counting function of the above n is asymptotically equal to (c+o(1))x/ log log ...
متن کاملUniform Distribution modulo 1 and the Universality of Zeta-functions of Certain Cusp Forms
An universality theorem on the approximation of analytic functions by shifts ζ(s+iτ, F ) of zeta-functions of normalized Hecke-eigen forms F , where τ takes values from the set {kαh : k = 0, 1, 2, . . . } with fixed 0 < α < 1 and h > 0, is obtained.
متن کاملDistribution of Powers modulo 1 and Relatedtopicsmiguel
This is a review of several results related to distribution of powers and combinations of powers modulo 1. We include a proof that given any sequence of real numbers n , it is possible to get an (given 6 = 0), or a (given > 1) such that n is close to n modulo 1. We also prove that in a number eld, if a combination of powers 1 n 1 + + m n m has bounded v-adic absolute value (where v is any non-A...
متن کاملUniform Distribution modulo One of Some Sequences concerning the Euler Function
In this paper, we follow the recent method in the theory of uniform distribution, developed by J.-M. Deshouillers and H. Iwaniec, to prove uniform distribution modulo one of various sequences involving the Euler function, together with some generalizations.
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: Journal of Number Theory
سال: 1995
ISSN: 0022-314X
DOI: 10.1006/jnth.1995.1016