# Wlodzimierz Holsztynski

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bio website location sqrt(-1) age member for 3 years, 11 months seen 1 hour ago profile views 2,184

two queens

mathematics and death
guide me through the land

they live
in my one man nation
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

# 788 Actions

 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. Jul22 comment real analysis series and sequence $\LaTeX\ !$ is the king. Jul19 answered Should all equations which appear in a thesis be numbered? Jul18 comment Magic squares with specific properties @Daishisan, because Noam's 5-dim affine space is actually 4-dimensional. And the rest indeed follows. Jul17 comment Extremely messy proofs There is a nicer tool than nets and filters, and it is purely topological. Jul13 comment Reading Papers in a Language you don't Speak Русская книга хорошая! :-) Jul8 awarded Peer Pressure Jul2 awarded Curious Jun21 comment Finding a suitable number Except that I missed the condition $\ q\ge 17$. Jun21 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 $\ q\ge m$. Jun21 comment Consecutive primes versus prime twins Simple and nice. Thank you Emil. Jun20 revised Consecutive primes versus prime twins explicit function notation Jun20 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. Jun20 asked Consecutive primes versus prime twins Jun15 answered Classic applications of Baire category theorem Jun15 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). Jun14 accepted Prime residua races and two views on primes Jun14 comment Prime residua races and two views on primes Thank you, @Toni, very much. Jun13 revised Why are polynomials so useful in mathematics? a typo (word omission) Jun13 revised Advice for number theory library respect!