Linear forms in finite sets of integers
SP Han, C Kirfel, MB Nathanson - The Ramanujan Journal, 1998 - Springer
Abstract Let A_1,..., A_r be finite, nonempty sets of integers, and let h_1,..., h_r be positive
integers. The linear formh_1A_1+···+ h_rA_r is the set of all integers of the form b_1+···+ b_r …
integers. The linear formh_1A_1+···+ h_rA_r is the set of all integers of the form b_1+···+ b_r …
7 Bases of Number Systems
C Deslandes, G Deslandes, L Croissant, C Villani… - 2023 - ieeexplore.ieee.org
7 Bases of Number Systems | part of The Price of Cake: And 99 Other Classic Mathematical
Riddles | MIT Press books | IEEE Xplore 7 Bases of Number Systems Abstract: We count in …
Riddles | MIT Press books | IEEE Xplore 7 Bases of Number Systems Abstract: We count in …
Unique representation of integers with base A
A Mukhopadhyay, R Thangadurai… - Archiv der …, 2015 - Springer
Unique representation of integers with base A Page 1 Arch. Math. 105 (2015), 119–128 c©
2015 Springer Basel 0003-889X/15/020119-10 published online July 12, 2015 DOI 10.1007/s00013-015-0787-9 …
2015 Springer Basel 0003-889X/15/020119-10 published online July 12, 2015 DOI 10.1007/s00013-015-0787-9 …
Representing natural numbers as unique sums of positive integers
V Laohakosol - 순수및응용수학, 2004 - kiss.kstudy.com
It is known that each natural number can be written uniquely as a sum of Fibonacci numbers
with suitably increasing indices. In 1960, Daykin showed that the sequence of Fibonacci …
with suitably increasing indices. In 1960, Daykin showed that the sequence of Fibonacci …
[PDF][PDF] Elementary Results on Special Number Sequences and Representation of Binary Quadratic Forms
N Bircan, H Senay - Int. J. Contemp. Math. Sci, 2007 - m-hikari.com
Elementary Results on Special Number Sequences and Representation of Binary Quadratic
Forms Page 1 Int. J. Contemp. Math. Sci., Vol. 2, 2007, no. 12, 565 - 569 Elementary Results …
Forms Page 1 Int. J. Contemp. Math. Sci., Vol. 2, 2007, no. 12, 565 - 569 Elementary Results …
On representations of real numbers and the computational complexity of converting between such representations
AM Ben-Amram, L Kristiansen, JG Simonsen - arXiv preprint arXiv …, 2023 - arxiv.org
arXiv:2304.07227v1 [math.LO] 14 Apr 2023 Page 1 arXiv:2304.07227v1 [math.LO] 14 Apr 2023
On representations of real numbers and the computational complexity of converting between …
On representations of real numbers and the computational complexity of converting between …
Expansions in multiple bases
YQ Li - Acta Mathematica Hungarica, 2021 - Springer
Expansion of real numbers is a basic research topic in number theory. Usually we expand
real numbers in one given base. In this paper, we begin to systematically study expansions …
real numbers in one given base. In this paper, we begin to systematically study expansions …
Beta-expansions for cubic Pisot numbers
F Bassino - LATIN 2002: Theoretical Informatics: 5th Latin …, 2002 - Springer
Real numbers can be represented in an arbitrary base β> 1 using the transformation T β: x→
βx (mod 1) of the unit interval; any real number x∈[0, 1] is then expanded into d β (x)=(xi) i≥ …
βx (mod 1) of the unit interval; any real number x∈[0, 1] is then expanded into d β (x)=(xi) i≥ …
On the representation of the natural numbers by powers of the golden mean
M Dekking, A Van Loon - arXiv preprint arXiv:2111.07544, 2021 - arxiv.org
In a base phi representation a natural number is written as a sum of powers of the golden
mean $\varphi $. There are many ways to do this. Well known is the standard representation …
mean $\varphi $. There are many ways to do this. Well known is the standard representation …
[PDF][PDF] On generalized bases for real numbers
JL Brown - Fibonacci Q, 1971 - mathstat.dal.ca
The purpose of this paper is to give an exposition of certain results due to JA Fridy [1],[2],
using a somewhat different approach. In [2], Fridy considers a non-increasing sequence {rf …
using a somewhat different approach. In [2], Fridy considers a non-increasing sequence {rf …