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Digests
Max Alekseyev
Washington, DC, United States
http://home.gwu.edu/~maxal/
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Top Questions
65
votes
Iterations of $2^{n-1}+5$: the strong law of small numbers, or something bigger?
nt.number-theory
prime-numbers
computational-number-theo
integer-sequences
divisors-multiples
asked Oct 9, 2016 at 3:54
mathoverflow.net
44
votes
Relaxed Collatz 3x+1 conjecture
nt.number-theory
collatz-conjecture
asked Sep 3, 2015 at 17:05
mathoverflow.net
25
votes
Removal of non-isomorphic edges results in the same graph
co.combinatorics
graph-theory
extremal-graph-theory
counterexamples
asked Jul 15, 2014 at 17:44
mathoverflow.net
11
votes
When adding a constant makes a multivariate polynomial reducible?
computational-number-theo
polynomials
nt.number-theory
diophantine-equations
asked Mar 3, 2013 at 5:23
mathoverflow.net
11
votes
Integer values of a rational function
diophantine-equations
rational-functions
computational-number-theo
nt.number-theory
asked Jul 1, 2010 at 16:15
mathoverflow.net
10
votes
When polynomial f(x^2) can be factored as g(x)·g(-x) ?
nt.number-theory
real-analysis
algorithms
polynomials
asked Feb 27, 2013 at 17:45
mathoverflow.net
10
votes
Explicit expression for recursive sums
co.combinatorics
polynomials
recurrences
asked May 8 at 21:41
mathoverflow.net
10
votes
Maximum matching in a graph with no "shortcuts"
co.combinatorics
graph-theory
conjectures
matching-theory
directed-graphs
asked Mar 7, 2017 at 16:20
mathoverflow.net
7
votes
A hypergeometric identity related to Bessel functions
co.combinatorics
hypergeometric-functions
combinatorial-identities
bessel-functions
asked Jun 27, 2019 at 21:20
mathoverflow.net
7
votes
Expression for the sum of square roots of zeros of a polynomial
polynomials
symmetric-functions
real-analysis
asked Feb 27, 2013 at 1:56
mathoverflow.net
1
2
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Top Answers
103
Special rational numbers that appear as answers to natural questions
mathoverflow.net
64
Special rational numbers that appear as answers to natural questions
mathoverflow.net
29
Harmonic sums and elementary number theory
mathoverflow.net
24
Simple recurrence that fails to be integer for the first time at the 44th term
mathoverflow.net
24
When do binomial coefficients sum to a power of 2?
mathoverflow.net
23
$3^n - 2^m = \pm 41$ is not possible. How to prove it?
mathoverflow.net
22
Are there infinitely many positive integer solutions to $(3+3k+l)^2=m\,(k\,l-k^3-1)$?
mathoverflow.net
21
Positive roots of a polynomial
mathoverflow.net
20
Dividing squares by sums
mathoverflow.net
18
2-adic valuation of a certain binomial sum
mathoverflow.net
18
Almost-converses to the AM-GM inequality
mathoverflow.net
18
Are there infinitely many natural numbers not covered by one of these 7 polynomials?
mathoverflow.net
17
what is the status of this problem? an equivalent formulation?
mathoverflow.net
17
When do binomial coefficients sum to a power of 2?
mathoverflow.net
16
In search of a combinatorial reasoning for a vanishing sum
mathoverflow.net
15
The GCD-matrix: generalizing a result of Smith?
mathoverflow.net
14
$2$-adic valuations: a tale of two $q$-series
mathoverflow.net
14
How to get a closed form for a possibly simple combinatorial sequence
mathoverflow.net
14
What is Lagrange Inversion good for?
mathoverflow.net
14
Examples of integer sequences coincidences
mathoverflow.net
14
Prove that these are polynomials
mathoverflow.net
14
Squares in the set $\{\sum_{j=1}^m j^2: m\in\mathbb{N}\}$
mathoverflow.net
13
Integers $b$ such that $n \nmid (b^n-1)$ for $n>1$
mathoverflow.net
13
When is the number of areas obtained by cutting a circle with $n$ chords a power of $2$?
mathoverflow.net
13
What recent discoveries have amateur mathematicians made?
mathoverflow.net
12
Combinatorial identity: $\sum_{i,j \ge 0} \binom{i+j}{i}^2 \binom{(a-i)+(b-j)}{a-i}^2=\frac{1}{2} \binom{(2a+1)+(2b+1)}{2a+1}$
mathoverflow.net
12
Do you recognize this sequence of polynomials?
mathoverflow.net
12
Looking for a combinatorial proof for a Catalan identity
mathoverflow.net
12
How small (in modulus) can a polynomial get?
mathoverflow.net
11
Сlosed formula for $(g\partial)^n$
mathoverflow.net
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