This tag is used if a reference is needed in a paper or textbook on a specific result.
1
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0answers
116 views
What are current trends/questions in algebraic logic? [on hold]
What are current trends/questions in algebraic logic?I mean the research developed by Paul Halmos.
And anyone could give some reference for overview of it's history?
Also any overview of it's ...
2
votes
1answer
67 views
Looking for Camion - Abelian codes
I am looking for a copy of the old report "Paul Camion - Abelian codes", Technical Report 1059, University of Wisconsin 1971. I have asked Paul himself, but he could not help me. Anyone out there has ...
2
votes
1answer
173 views
About “Lectures on Hilbert Schemes of Points on Surfaces” of Nakajima
I am a theoretical physics major student working on string theory. I want to understand the work of Nakajima, "Lectures on Hilbert Schemes of Points on Surfaces" . What kinds of mathematical ...
3
votes
0answers
68 views
Is this still an open question? (Orthogonal Orthomorphisms/Complete Maps)
The motivation for my question came after reading this article:
http://cms.math.ca/cjm/v13/cjm1961v13.0356-0372.pdf
It is quite old so I hope someone here knows what advances have been made in this ...
2
votes
2answers
89 views
Reference Request: Representing Positive Integers as Differences with Minimal Hamming Weight
Background of my reference request is an observation that I made, while I was still in school: there are two ways to calculate $x*999$: either do it directly, by applying the multiplication algorithm ...
1
vote
0answers
123 views
Would a proof of both (G)RH and Montgomery's pair correlation conjecture imply SOC?
Would a proof of both (G)RH and Montgomery's pair correlation conjecture imply SOC?
It seems, judging by the abstract of a 2002 paper of Ram Murty and a possibly Romanian co-author published on ...
1
vote
2answers
162 views
Flips on standard Young tableaux and descent sets
Consider $T$ to be a standard Young tableau of shape $\lambda$ (in English notation). The descent set of $T$, $Des(T)$, is defined to the set of all positive integers $i$ such that $i+1$ lies strictly ...
1
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1answer
99 views
+50
Reference request: Spectral analysis of advection diffusion PDE
As the title says, I am looking for a authoritative reference/monograph on this topic. My interest is in spectral properties of this PDE, and
NOT on existence/uniqueness etc. which is usually the ...
2
votes
1answer
126 views
Congruence for the Apery Numbers
Is it true that $$A_n\equiv (-1)^n\;\;(\mathrm{mod}\;3)\;\;?$$
Here $A_n$ is the Apery number:
$$A_n=\sum\limits_{k=0}^n\binom{n}{k}^2\binom{n+k}{k}^2.$$
What is known about congruence properties ...
4
votes
1answer
116 views
Easy argument for “connected simple real rank zero Lie groups are compact”?
Let $G$ be a connected simple Lie group. It is known that if $G$ has real rank zero, then $G$ is compact.
Background: every connected (semi)simple Lie group $G$ (with Lie algebra $\mathfrak{g}$) has ...
1
vote
1answer
47 views
Minimal Legendrian submanifolds and laplacian of particular functions
I'm reading the paper
Lê, Hôngvân(D-MPI-NS); Wang, Guofang(PRC-ASBJ-MSY)
A characterization of minimal Legendrian submanifolds in $S^{2n+1}$. Compositio Math. 129 (2001), no. 1, 87–93.
Let $x: L^n ...
1
vote
0answers
15 views
In what paper was the shrinkage parameter introduced to the nelder-mead simplex direct search algorithm?
I have read lots of papers referencing a 4th shrinkage parameter when talking about the Nelder Mead Simplex method. However, I cannot see any shrinkage parameter in the flow chart of the original ...
2
votes
0answers
77 views
Jordan decomposition for non algebraically closed fields
Let $G$ be a (linear?) algebraic group defined over some field $k$ (not necessarily algebraically closed). For $g\in G$ we have the Jordan decomposition $g=su$ in the semisimple part $s$ and the ...
5
votes
1answer
142 views
Pontrjagin ring structure on homology of Eilenberg-Mac Lane spaces
Is there any good reference for the Pontrjagin ring structure on
$$
H_\ast(K(\mathbb{Z}/2,k);\mathbb{Z}/2)\cong H_\ast(\Omega K(\mathbb{Z}/2,k+1);\mathbb{Z}/2)?
$$
I am familiar with Serre's theorem ...
5
votes
1answer
133 views
spherical buildings for non-split groups
I am looking for references to explicit descriptions of Tits buildings for semisimple (classical) Lie groups via language of incidence geometry. Such descriptions are well-documented in the case of ...
