On the representation of an integer in two different bases.
CL Stewart - 1980 - degruyter.com
In 1970 Senge and Strauss [4] proved that the number of integers, the sum of whose digits in
each of the bases a and b lies below a fixed bound, is fmite if and only log if---is irrational …
each of the bases a and b lies below a fixed bound, is fmite if and only log if---is irrational …
[PS][PS] On binary representations of integers with digits− 1, 0, 1
H Prodinger - Integers, 2000 - helmut-prodinger.at
G untzer and Paul introduced a number system with base 2 and digits 1; 0; 1 which is
characterized by separating nonzero digits by at least one zero. We nd an explicit formula …
characterized by separating nonzero digits by at least one zero. We nd an explicit formula …
[引用][C] On the representation of numbers as sums of powers of natural numbers
RC Vaughan - Proceedings of the London Mathematical …, 1970 - Wiley Online Library
On the Representation of Numbers as Sums of Powers of Natural Numbers Page 1 ON THE
REPRESENTATION OF NUMBERS AS SUMS OF POWERS OF NATURAL NUMBERS By RC …
REPRESENTATION OF NUMBERS AS SUMS OF POWERS OF NATURAL NUMBERS By RC …
The representation of integers as sums of squares
G Shimura - American journal of mathematics, 2002 - muse.jhu.edu
We present a uniform method by which we obtain an explicit formula for the number of
representations of an integer as the sum of n squares for each n in the range 2≤ n≤ 8. The …
representations of an integer as the sum of n squares for each n in the range 2≤ n≤ 8. The …
[PDF][PDF] Single Letter Representations of Natural Numbers
IJ Taneja - 2015 - rgmia.org
Four basic operations are used, ie, addition, subtraction, multiplication and division.
Numbers having potentiation are dealt separately in next section. By no means, we can say …
Numbers having potentiation are dealt separately in next section. By no means, we can say …
Arithmetic in complex bases
WJ Gilbert - Mathematics Magazine, 1984 - Taylor & Francis
In this note, we introduce a novel way of doing complex arithmetic that does not involve
separating the complex numbers into their real and imaginary part~. This method uses the …
separating the complex numbers into their real and imaginary part~. This method uses the …
Which integers are representable as the product of the sum of three integers with the sum of their reciprocals?
A Bremner, RK Guy, RJ Nowakowski - mathematics of computation, 1993 - ams.org
For example, the integer 564 is so representable by the three integers 122 44200
50100028778116351171 17995213613513491867,-3460 69586 84255 04865 64589 …
50100028778116351171 17995213613513491867,-3460 69586 84255 04865 64589 …
On the sum of a prime and a square
H Mikawa - Tsukuba journal of mathematics, 1993 - JSTOR
In 1923 GH Hardy and JE Littlewood [3] conjectured that every large integer, not being a
square, may be expressed as the sum of a prime and a square. Let v (n) be the number of …
square, may be expressed as the sum of a prime and a square. Let v (n) be the number of …
An asymptotic formula for the average sum of the digits of integers
LE Bush - The American Mathematical Monthly, 1940 - Taylor & Francis
In a recent book a statement is made for which the author says that he has no general
proof.* The statement is essentially that the average sum of the digits of integers is least …
proof.* The statement is essentially that the average sum of the digits of integers is least …
[引用][C] A summation formula related to the binary digits
J Coquet - Inventiones mathematicae, 1983 - Springer
A summation formula related to the binary digits Page 1 Invent. math. 73, 107-115 (1983)
Inventiones mathematicae 9 Springer-Verlag 1983 A Summation Formula Related to the …
Inventiones mathematicae 9 Springer-Verlag 1983 A Summation Formula Related to the …