For example, we have a double sum with $n$ and $m$ as variables, then we set $n+m=l$, then we can consider the residue system of l mod k and write the double sum as the sum...

Hi, My area of expertise is definitely not complex analysis. Hence the following question: Suppose the functions f_n are analytic on the unit unit disk in the Complex...

Hallo, i published results of my analysis research at page http://ilario.mazzei.googlepages.com/home. comments and suggestions are appreciated Ilario Mazzei

David Cantrell queried the definition of the reciprocal of an interval that I gave in my posting. I have replied to this under a new heading, RECIPROCALS OF INTERVALS, ...

The mathematical journal "Divulgaciones Matematicas" is proud to announce its new web site with full text downloadable papers in Spanish and...

In my posting on Dedekind cuts, I said that Ramon Moore defined the arithmetic operations on intervals as follows: ^-1 = if 0 notin , ie 0 in D or 0 in...

Hello, I'm wondering if the rules described below can be found in existing literature. In what follows we use the "=" sign to indicate that both sides of the equation can be...

Hi, I am curious how one validates that a perturbation treatment for the solution of an algebraic eqn actually works. This problem has arisen in the context of a simple...

I've always understood repartitions or adeles of a curve to refer to a certain restricted product of completions of the function field of the curve. In Serre's book,...

How to find the Green function for the problem u - \Delta u = f with the Neumann boundary conditions equal 0? Can I use the method of images for that? How?

Hi! why are (1,1) and (24,70) the only integer points (x,y), x0 and y0 which are on the elliptic curve 1/6 *x*(1+x)*(1+2x)-y^2=0 ? Yours Alex

I was surprised to notice that, at least between finite-dimensional commutative C*-algebras, every homomorphism is a *-homomorphism. I can only prove this by using the...

I have a diff operator acting on real-valued functions (I give it in tex, the ascii is an impossible task for me,...

It now seems possible to derive physics from nothing more than logic. See the website at: http://hook.sirus.com/users/mjake/QMfromlogic.htm I posted this on...

I'm kind of confused with the meaning of inverse limits for groups. Could someone help me understand? Let X={a_1, a_2, a_3, ...} be a countably infinite set. For every...

New web access to newsgroup sci.math.research : http://www.docendi.org/newsgroup-f37.html by http://www.docendi.org

Hardy and Wright mention that e.pi is irrational (4th ed, p 39), but I have heard that this is a misprint. I have further failed to find any reliable sources explaining...

Semi-Latin Squares could be found from :http://www.maths.qmw.ac.uk/ ~rab/slsopt.html I am searching for Optimal Semi Latin Squares , and apparently Trojan Squares were known...

Can anybody give me an example of two finite sets A,B of different cardinality, with positive integer valued functions f:A-N, g:B-N such that \sum_a{f(a)} = \sum_b{f(b)}...

Many of the accounts of Dedekind cuts that I have seen, including the original one, wave their hands in the most blatant way, especially with regard to multiplication....