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 | |

stats | profile views | 4,407 |

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 |