bio | website | front.math.ucdavis.edu/author/… |
---|---|---|
location | New York City | |
age | 44 | |
visits | member for | 5 years, 8 months |
seen | Jun 7 at 5:09 | |
stats | profile views | 4,607 |
Research: additive number theory; combinatorial number theory.
Faculty at City University of New York, at the Staten Island and Graduate Center campuses.
Jun 7 |
comment |
When is $(-1+\sqrt[3]{2})^n$ of the form $a+b\sqrt[3]{2}$?
The sequence of coefficients is in the encyclopedia, though not with this context. oeis.org/A108369 |
May 25 |
revised |
Cohen and Selfridge's proof about odd numbers which are neither the sum nor difference of a power of two and a prime
edited tags; edited title |
May 24 |
comment |
Prescribed values for the uniform density
@SalvoTringali : It's often difficult to put a finger on what is a nonsequitor and what is simply my obtuseness. The result is true, but I haven't been able to understand Misik's proof in a detailed way. In "On asymptotic and logarithmic densities" (2005), Luca and Porubsky prove just the 4-densities result in 12 pages, while Misik proves much more in only 8 pages. |
Feb 22 |
awarded | Nice Answer |
Dec 25 |
comment |
Nimber multiplication
This is discussed at length in Lenstra's "Nim multiplication". openaccess.leidenuniv.nl/bitstream/handle/1887/2125/346_027.pdf |
Dec 24 |
answered | Comparing the Rational Approximability of Infinite Continued Fractions |
Nov 28 |
revised |
How to test if the power of some algebraic number is the rational combination of two specific algebraic numbers?
spelling, TeX |
Nov 28 |
revised |
what is the first non-constant term in the Kronecker Limit formula?
deleted cut-and-paste garbage |
Nov 28 |
comment |
What's the volume of $\{x\in[0,1]^n|\sum x_i\le t\}$ for real $t$?
This is the Irwin-Hall distribution; there are indeed formulas in Wikipedia. |
Nov 28 |
comment |
What's the volume of $\{x\in[0,1]^n|\sum x_i\le t\}$ for real $t$?
This is the Irwin-Hall distribution. |
Nov 19 |
comment |
Dynamics in the integers - Floor function
The sequence $[n\alpha]$ is known as a Beatty sequence; the indicator function of a Beatty sequence (with irrational $\alpha$) is known as a Sturmian word. There are hundreds of papers working out properties of Beatty sequences. |
Nov 16 |
comment |
Rate of convergence of an irrational rotation
Ah, I see. But still a little weird as distance isn't respected by the isomorphism (but boundedly so), and certainly algebraic $\alpha$ is not the same as algebraic $\lambda$ (but that wasn't part of the original question). |
Nov 15 |
comment |
Rate of convergence of an irrational rotation
This answer has been accepted and all, but isn't it completely different from the original question? Here, powers of $\lambda$; there, multiples of $\alpha$. |
Nov 15 |
revised |
Rate of convergence of an irrational rotation
edited body |
Oct 21 |
awarded | Yearling |
Oct 17 |
awarded | Good Question |
Oct 16 |
comment |
Computer Algebra Errors
That's a great article! |
Sep 30 |
awarded | Explainer |
Sep 23 |
comment |
List of integers without any arithmetic progression of n terms
Uh, yep, $f(2)=3$. I did $f(3)$ on my fingers, too, so no promises... |
Sep 23 |
comment |
List of integers without any arithmetic progression of n terms
$f(1)=1$, $f(2)=4$, $f(3)=4$. Do you have some more numbers to report? |