beatty sequence
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2021 ◽  
Vol 131 (1) ◽  
Author(s):  
C G KARTHICK BABU
Keyword(s):  

2019 ◽  
Vol 63 (4) ◽  
pp. 738-743
Author(s):  
Janyarak Tongsomporn ◽  
Jörn Steuding

AbstractWe prove irregularities in the distribution of prime numbers in any Beatty sequence ${\mathcal{B}}(\unicode[STIX]{x1D6FC},\unicode[STIX]{x1D6FD})$, where $\unicode[STIX]{x1D6FC}$ is a positive real irrational number of finite type.


This paper discusses on the estimation of character sums with respect to non-homogeneous Beatty sequences, over prime where , and is irrational. In particular, the bounds is found by extending several properties of character sums associated with composite moduli over prime. As a result, the bound of is deduced.


2018 ◽  
Vol 13 (1) ◽  
pp. 131-146 ◽  
Author(s):  
Athanasios Sourmelidis

Abstract In this paper, we prove a discrete analogue of Voronin’s early finite-dimensional approximation result with respect to terms from a given Beatty sequence and make use of Taylor approximation in order to derive a weak universality statement.


2016 ◽  
Vol 169 ◽  
pp. 144-159
Author(s):  
Jörn Steuding ◽  
Marc Technau
Keyword(s):  

2015 ◽  
Vol 156 ◽  
pp. 317-330 ◽  
Author(s):  
Victor Z. Guo
Keyword(s):  

2011 ◽  
Vol 125 (1) ◽  
pp. 129-137 ◽  
Author(s):  
William D. Banks ◽  
Aaron M. Yeager

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