Add to ORKGThis paper discusses discusses a certain mathematical constant that was recently proven to be 2-normal -- every m-long string of digits in its binary expansion appear, in the limit, with frequently 1/2^m. This paper establishes the result that this constant is NOT 6-normal -- its expansion base 6 is decidedly not random
It is well known that almost all real numbers (in the sense of Lebesgue measure) are normal to base ...
We demonstrate the full logical independence of normality to multiplicatively independent bases. Thi...
It is known that if x ∈ [0, 1] is polynomial time random (i.e. no polynomial time computable marting...
For an integer b ≥ 2 a real number α is b -normal if, for all m > 0, every m-long string of digits i...
A number is normal to the base r if, in its expansion to that base, all possible digit strings of le...
We propose a theory to explain random behavior for the digits in the expansions of fundamental mathe...
It is widely believed that several fundamental mathematical constants, like pi, e, log 2 and so on, ...
Let b ≥ 2 be an integer. A real number is called simply normal to base b if in its representation to...
In a recent paper, Richard Crandall and the present author established that each of a certain class ...
A real number alpha is said to be b-normal if every m-long string of digits appears in the base-b e...
We use probabilistic methods, along with other techniques, to address three topics in number theory ...
We give metric theorems for the property of Borel normality for real numbers under the assumption o...
Let r, g ≥ 2 be integers such that log g/log r is irrational. We show that under r-digitwise random ...
We introduce the concept of Minkowski normality, a different type of normality for the regular conti...
Borel conjectured that all algebraic irrational numbers are normal in base 2. However, very little i...
It is well known that almost all real numbers (in the sense of Lebesgue measure) are normal to base ...
We demonstrate the full logical independence of normality to multiplicatively independent bases. Thi...
It is known that if x ∈ [0, 1] is polynomial time random (i.e. no polynomial time computable marting...
For an integer b ≥ 2 a real number α is b -normal if, for all m > 0, every m-long string of digits i...
A number is normal to the base r if, in its expansion to that base, all possible digit strings of le...
We propose a theory to explain random behavior for the digits in the expansions of fundamental mathe...
It is widely believed that several fundamental mathematical constants, like pi, e, log 2 and so on, ...
Let b ≥ 2 be an integer. A real number is called simply normal to base b if in its representation to...
In a recent paper, Richard Crandall and the present author established that each of a certain class ...
A real number alpha is said to be b-normal if every m-long string of digits appears in the base-b e...
We use probabilistic methods, along with other techniques, to address three topics in number theory ...
We give metric theorems for the property of Borel normality for real numbers under the assumption o...
Let r, g ≥ 2 be integers such that log g/log r is irrational. We show that under r-digitwise random ...
We introduce the concept of Minkowski normality, a different type of normality for the regular conti...
Borel conjectured that all algebraic irrational numbers are normal in base 2. However, very little i...
It is well known that almost all real numbers (in the sense of Lebesgue measure) are normal to base ...
We demonstrate the full logical independence of normality to multiplicatively independent bases. Thi...
It is known that if x ∈ [0, 1] is polynomial time random (i.e. no polynomial time computable marting...