Clayton

7,866 reputation

1234

bio	website	math.rochester.edu/people/…
	location	Rochester, NY
	age	24
visits	member for	7 months
	seen	2 hours ago
stats	profile views	520

I'm a graduate student at the U of R in Rochester, NY. I enjoy recreational mathematics including problem solving and most things topology.

	7,866 reputation	bio	website	math.rochester.edu/people/…	visits	member for	7 months
1234 badges		location	Rochester, NY		seen	2 hours ago

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41 Favorites

added views newest activity votes

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kviews

Funny identities

big-list

apr 29 at 6:07 John Marty 983

votes

answers

kviews

Does this property characterize a space as Hausdorff?

general-topology

nov 14 '10 at 21:08 Arturo Magidin 158k

votes

answer

374

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Is this sequence unbounded?

sequences-and-series number-theory

jan 20 at 4:59 David Moews 10.2k

votes

answers

kviews

How does a non-mathematician go about publishing a proof in a way that ensures it to be up to the mathematical community's standards?

soft-question proof-writing advice publishing

jan 23 at 10:43 anon 11

votes

answer

466

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Prove that $\sum_{k=1}^{\infty} \large\frac{k}{\text{e}^{2\pi k}-1}=\frac{1}{24}-\frac{1}{8\pi}$

calculus real-analysis sequences-and-series

jan 10 at 20:12 Chris's wise sister 11.5k

votes

answer

453

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A Bernoulli number identity and evaluating $\zeta$ at even integers

riemann-zeta bernoulli-numbers

may 2 at 21:37 Graham Hesketh 675

votes

answers

563

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Reference request for tricky problem in elementary group theory

abstract-algebra group-theory reference-request

dec 8 at 23:15 Community♦ 1

votes

answer

688

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A question about series with a strange property.

calculus sequences-and-series analysis contest-math

jan 6 at 22:29 George 162

votes

answers

671

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Evaluate $\int_0^1\left(\frac{1}{\ln x} + \frac{1}{1-x}\right)^2 \mathrm{dx}$

calculus real-analysis integral definite-integral improper-integrals

may 17 at 13:52 Cody 2,613

votes

answer

298

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Lower bounds on the number of elements in Sylow subgroups

abstract-algebra group-theory finite-groups

apr 2 at 15:49 m. k. 7,322

votes

answer

530

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Does there exist a sequence $\{a_n\}_{n\ge1}$ with $a_n < a_{n+1}+a_{n^2}$ such that $\sum_{n=1}^{\infty}a_n$ converges?

calculus real-analysis sequences-and-series analysis contest-math

nov 27 at 12:55 Ewan Delanoy 8,413

votes

answers

370

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Compute $\sum_{k=0}^{\infty}\frac{1}{2^{k!}}$

calculus real-analysis sequences-and-series

jan 19 at 13:51 Clive Newstead 15.3k

votes

answer

869

views

Is there a purely algebraic proof of the Fundamental Theorem of Algebra?

abstract-algebra field-theory

jul 4 at 10:43 Makoto Kato 11.3k

votes

answers

450

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A question about connected sets in $\mathbb{R}^2$

general-topology

may 3 at 12:31 Brian Rushton 1,351

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answer

kviews

Isomorphic quotients by isomorphic normal subgroups

group-theory finite-groups examples-counterexamples

jan 26 '12 at 21:58 Srivatsan 15.6k

votes

answers

250

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Improving one's calculation skills

calculus reference-request

feb 5 at 21:09 Alexander Shamov 1,421

votes

answer

231

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How do you manage your “pedanticism”?

soft-question

jan 20 at 6:27 Chris Janjigian 2,076

votes

answers

498

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Evaluate: $\int_0^{\pi} \ln \left( \sin \theta \right) d\theta$

complex-analysis integral logarithms

may 5 at 22:04 Ma Ming 2,015

votes

answer

526

views

Is there a constructive proof of this characterization of $\ell^2$?

sequences-and-series functional-analysis hilbert-spaces

aug 21 '11 at 11:14 t.b. 43.1k

votes

answers

kviews

Introductory texts on manifolds

reference-request differential-geometry

oct 23 at 20:29 AsinglePANCAKE 1,017

votes

answer

238

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Partitioning $\mathbb{R}^2$ into disjoint path-connected dense subsets

general-topology

dec 1 at 5:14 Lukas Geyer 4,945

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answers

133

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A non-compact topological space where every continuous real map attains max and min

general-topology analysis

apr 2 at 14:10 Arthur Fischer♦ 21.3k

votes

answers

views

Does there exist a sequence of real numbers $\{a_n\}$ such that $\sum_na_n^k$ converges for $k=1$ but diverges for every other odd positive integer?

real-analysis sequences-and-series analysis convergence contest-math

jan 27 at 23:37 Andres Caicedo 24.4k

votes

answers

kviews

Group of order 15 is abelian

group-theory finite-groups

dec 28 '11 at 0:26 Pete L. Clark 44.6k

votes

answer

278

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How should I prove the duality?

real-analysis

jan 12 at 9:11 Martin 3,688

votes

answers

244

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A question on a compact space

homework general-topology compactness

feb 25 at 13:36 Brian M. Scott 154k

votes

answers

994

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Showing the set of zero-divisors is a union of prime ideals

commutative-algebra

mar 27 at 17:02 azimut 5,488

votes

answer

117

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Compute $\lim_{n\to\infty} \left(\sum_{k=1}^n \frac{H_k}{k}-\frac{1}{2}(\ln n+\gamma)^2\right) $

calculus real-analysis sequences-and-series limit

jan 16 at 8:48 Chris's wise sister 11.5k

votes

answers

111

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How much of an $n$-dimensional manifold can we embed into $\mathbb{R}^n$?

differential-geometry algebraic-topology manifolds differential-topology

mar 6 at 1:33 Zev Chonoles 53.7k

votes

answers

144

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Exercise in Lang Algebra Ch 5

abstract-algebra

feb 19 at 6:27 Ewan Delanoy 8,413