Description:
Discussion of current mathematical research. (Moderated)
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Asymptotic behavior of Alternating Ordinary Dirichlet Series remainder
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This is a multi-part message in MIME format. ------=_NextPart_000_001E_01CA 6863.AA37B8F0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Hi, I am posting this New Topic in an effort to verify whether it is an = already known result that the n^th remainder, R_n(s) of an Alternating =... more »
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Choudhry's Theorems on Waring-like Problems for Rationals
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Hello all, Some results for a "Waring-like Problem". ANY rational N is, in an infinite number of _non-trivial_ ways: 1) the sum of 3 rational 3rd powers. (Ryley's Theorem) 2) the sum of 6 rational 5th powers. (Choudhry) 3) the sum of 8 rational 7th powers. (Choudhry) All results are dependent on certain algebraic identities, but whether... more »
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Perfect Square
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Let P(m) = (4m)^(4m-1) + 4m^2 + 1, where m is a positive integer. Is it true that this expression is not a perfect square for any value of m?
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subgroups of ultrapowers
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Perhaps someone count direct me to some experts and/or references? Let *Z be an ultrapower of the integers Z, with respect to a nonprincipal ultrafilter on a countably infinite index set. For any real number r, one can associate a subgroup of *Z: S_r = { n in *Z: nr \in *Z + I } where I \subset *R consists of the infinitesimals in the... more »
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entropy question
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my data consists of a point on a grid which moves around through time. so, you can look at this as a trail through a plane, or a timeseries of (x,y) coordinates. imagine this as a bug moving around on a table. is there a way i could measure the "entropy" of this system? is there an information entropy measure that would be appropriate?... more »
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TMFCS-10 Call for papers
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TMFCS-10 Call for papers The 2010 International Conference on Theoretical and Mathematical Foundations of Computer Science (TMFCS-10) (website: [link]) will be held during 12-14 of July 2010 in Orlando, FL, USA. TMFCS is an important event in the theoretical, mathematical and logical areas... more »
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Can we speak about ill-conditioning when $\kappa(A)>\log(1)=0$ if elements of $A$ are known with an infinite precision?
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Hi, Here are two questions: 1) I am given a square matrix $A$. Its determinant does not equal $0$. Let's compute its condition number, according to the infinity norm, i.e. \[ \kappa(A)=||A||_{\infty}\cdot ||A^{-1}||_{\infty}. \] Elements of $A$, i.e. $A_{i,j}$, $1\leq i\leq n$, $1\leq j\leq n$, where $A$ is of dimension $n$, are known with an infinite precision,... more »
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minimal set
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Let (X,f) be a topological dynamical system, f a surjective map. R(f) is the set of recurrent points and AP(f) is the set of almost periodic points, There is a trivial inclusion AP(f)\subset R(f). Is it true that the closure of AP(f) contains R(f)? is there some reference about the second inclusion.... more »
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Conference on The Diverse Faces of Arithmetic - Second Announcement.
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Conference on The Diverse Faces of Arithmetic Second Announcement There will be a conference on The Diverse Faces of Arithmetic, at the University of East Anglia, Norwich, UK, December 14th-16th 2009, on the occasion of the retirement of Graham Everest. The conference will cover the remarkable interactions of Number... more »
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This Week's Finds in Mathematical Physics (Week 283)
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Also available at [link] November 10, 2009 This Week's Finds in Mathematical Physics (Week 283) John Baez We had a great AMS meeting this weekend at UCR, with far too many interesting talks going on simultaneously. For example, there were two sessions on math related to knot theory, one on operator algebras,... more »
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