6,342 reputation
33661
bio website front.math.ucdavis.edu/author/…
location New York City
age 44
visits member for 5 years, 2 months
seen Dec 12 at 23:51
Research: additive number theory; combinatorial number theory. Faculty at City University of New York, at the Staten Island and Graduate Center campuses.

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?
Sep
23
awarded  Necromancer
Aug
28
comment What is your favorite “strange” function?
It is definitely discontinuous at rational points. At $p/q$ the difference between the limit from the left and from the right is $1/(2^q-1)$, which is definitely not 0. It is differentiable at irrational $x$, and moreover its derivative is 0 whenever it has one!
Jul
31
awarded  Enlightened
Jul
31
awarded  Nice Answer
Jul
17
comment Computer Algebra Errors
I just asked Mathematica 10 to "Integrate[ Abs[Exp[2Pi I x]+Exp[2Pi I y]], {x,0,1}, {y,0,1}]", and after some thought it returned the expression unevaluated.
Jul
2
awarded  Curious