Questions tagged [reference-request]
This tag is used if a reference is needed in a paper or textbook on a specific result.
16,098 questions
Score of 7
0 answers
131 views
Centralisers in the profinite completion of the Grigorchuk group
I was hoping someone could help me make sense of a referee's comment by providing references to some relevant results.
A possible corollary of some of the results presented in our preprint is the ...
- reputation score 261
Score of 4
1 answer
103 views
Is the spectrum of the graph Laplacian monotone with respect to the graph weights?
Consider a weighted undirected graph $(V, w)$, where $V$ is the set of vertices and $w : V \times V \to \mathbb{R}_+$ is the weight on each edge. The (weighted) Laplacian on this graph is the operator,...
- reputation score 323
Score of -1
1 answer
565 views
Dossiers on LLMs in mathematical research
The involvement—or even leadership—of LLMs in mathematical research has received considerable attention recently. Unfortunately, despite everyone’s emphasis on the importance of mathematical rigor and ...
- reputation score 1505
Score of 38
3 answers
3163 views
AI for the working (and also the retired) mathematician
I have very little experience with AI, certainly doing math. I would like to start to explore using AI in my research to get firsthand experience and make my own judgement on AI and math. Is there an ...
Score of 3
1 answer
94 views
Pitts' article on "Regularity and singularity of one dimensional stationary integral varifolds"
I would like to find out more about Pitts's combinatorial argument for proving the existence of minimal varifolds in the Almgren-Pitts theory. In particular, I am interested in the one-dimensional ...
- reputation score 163
Score of 0
0 answers
43 views
Short-time lower bound for product-state correlation defect under local Hamiltonian evolution
I am looking for references, standard names, and known extensions for a short-time
estimate that isolates the normal component of product-state retraction under
finite-dimensional local Hamiltonian ...
- reputation score 101
Score of 7
0 answers
105 views
Bifurcation theory on manifolds?
All the textbook treatments of bifurcation theory that I have found only deal with bifurcations for dynamical systems on $\mathbb{R}^n$. While all the results on local bifurcations should generalize ...
- reputation score 681
Score of 1
0 answers
84 views
Has the counting function of admissible subsets of reduced residue systems modulo primorials been studied?
Let
$$
W_k=\prod_{i=1}^{k}p_i,\qquad
R_k=\{\,r \bmod W_k : \gcd(r,W_k)=1\,\}.
$$
Call a subset $S\subseteq R_k$ admissible if, for every prime
$q>p_k$, its image modulo $q$ is a proper subset of
$\...
- reputation score 11
Score of 4
1 answer
228 views
Reference request for a Theorem of Arnold Scholz about norm of units
In this post
Surjectivity of the norm of units in Galois extensions ramified exactly at one finite prime,
In his answer, Professor Lemmermeyer referred to a Theorem of Arnold Scholz on surjectivity of ...
- reputation score 361
Score of 6
1 answer
149 views
Is the Kostka number for a single box transfer between rows equal to a power of 2?
Let $\lambda=(\lambda_1>\lambda_2>\dots>\lambda_\ell\ge 1)$ be a strictly decreasing partition, and for $1\le i<k\le\ell$ let
$$\mu \;=\; \lambda + e_k - e_i,$$
i.e. subtract one from part ...
- reputation score 113
Score of 1
0 answers
130 views
Asymptotic approximation of $\sum_{n=1}^\infty n^n$ via truncated logarithmic series
I have been looking at the divergent series
$$
S = \sum_{n=1}^{\infty} n^n = 1^1 + 2^2 + 3^3 + \cdots
$$
To try to understand its growth, I considered the following finite sum:
$$
f(n) := \sum_{k=2}^{...
- reputation score 19
Score of 2
0 answers
90 views
Subseries convergence in some function spaces by L. Drewnowski
I am looking for a PDF copy of the following paper by Lech Drewnowski, which does not seem to be digitized or available on the usual open repositories (like ICM or ResearchGate):
Author: Lech ...
- reputation score 21
Score of 5
1 answer
335 views
Grassmannians in scattering
I would like to know the general application of Grassmannians to scattering.
Segal's lecture Integrable systems and inverse scattering discusses restricted Grassmannians in the context of scattering ...
- reputation score 607
Score of 1
0 answers
147 views
Is this nontriviality result for degree-3 covers of the affine plane with affine-linear Miranda data known?
Let
$$
A=\mathbf C[u,v],
$$
and let
$$
\pi\colon X\to \mathbf A^2_{\mathbf C}
$$
be a finite flat cover of degree $3$, with $X$ normal and integral.
Since we are in characteristic $0$, the trace map ...
- reputation score 11
Score of 20
1 answer
2046 views
Where can we watch the full ICM 2026 livestream?
Is there an website, YouTube channel, or other platform where all International Congress of Mathematicians (ICM) 2026 sessions are livestreamed or recorded? I could only find the opening ceremony on ...
- reputation score 691
