Wlodzimierz Holsztynski

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location sqrt(-1)
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visits member for 3 years, 11 months
seen 1 hour ago
 
  two queens
 
 
    mathematics and death
    not cheerful not sad
    guide me through the land
    pat me on my head
 
    they live
    in my one man nation
    i follow them
    to my destination
 
 
wh,
(long ago)



  polynomials over finite Galois field
  spread so evenly across their finite affine space
  i wish for a network of friends
  to count on


wh,
1996-03-05/06



2h
comment Subset of the integers with certain properties
I'd consider first two related questions: what is the largest $n$ for which there exists an $n$-set $S \subseteq \{1\ 2\ \ldots\}$ such that for every $A\subseteq S$ the sum $\sum_{a\in A}\ a^2$ is a square or a third power; and for the other question replace $a^2$ by $a^3$, and otherwise the question would look the same. Indeed, when a set of squares and cubes is large than the set of its squares or its cubes is at least half that large.
Jul
22
comment real analysis series and sequence
$\LaTeX\ !$ is the king.
Jul
19
answered Should all equations which appear in a thesis be numbered?
Jul
18
comment Magic squares with specific properties
@Daishisan, because Noam's 5-dim affine space is actually 4-dimensional. And the rest indeed follows.
Jul
17
comment Extremely messy proofs
There is a nicer tool than nets and filters, and it is purely topological.
Jul
13
comment Reading Papers in a Language you don't Speak
Русская книга хорошая! :-)
Jul
8
awarded  Peer Pressure
Jul
2
awarded  Curious
Jun
21
comment Finding a suitable number
Except that I missed the condition $\ q\ge 17$.
Jun
21
comment Finding a suitable number
@barak, your set of primes may be empty; actually, it always is empty unless $\ m=r_n.\ $ For instance, Tina's $\ q\ $ for $\ (m\ n)\ =\ (8\ \;10)\ $ is $\ q=5.\ $ Thus it's not true that $\ q\ge m$.
Jun
21
comment Consecutive primes versus prime twins
Simple and nice. Thank you Emil.
Jun
20
revised Consecutive primes versus prime twins
explicit function notation
Jun
20
comment Consecutive primes versus prime twins
Indeed, I forgot that under the Schinzel umbrella conjecture a lot of more detailed conjectures (known earlier) would go against some of my attempts.
Jun
20
asked Consecutive primes versus prime twins
Jun
15
answered Classic applications of Baire category theorem
Jun
15
comment Cancellation law for $M^n\times \mathbb R= N^n\times \mathbb R$.
My private library is mostly gone, and I don't have a convenient access to a real mathematical library. I remember that one of the Borsuk major topological topics was the uniqueness of the topological cartesian decomposition. Later a remarkable paper about the uniqueness of the decomposition of finite-dimensional ANRs into the 1-dimensional factors (and a finite space) was written H. Patkowska--a student of Borsuk. Borsuk himself considered, among other things, the decomposition of manifolds into a manifold and a 1-dimensional factor (I don't remember more, so sorry).
Jun
14
accepted Prime residua races and two views on primes
Jun
14
comment Prime residua races and two views on primes
Thank you, @Toni, very much.
Jun
13
revised Why are polynomials so useful in mathematics?
a typo (word omission)
Jun
13
revised Advice for number theory library
respect!