Pietro Majer

I am a professor of Mathematics at the University of Pisa, Italy.

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The functional equation $f(f(x))=x+f(x)^2$

generating-functions ds.dynamical-systems reference-request functional-equations asked Dec 17, 2010 at 12:27

mathoverflow.net

28 votes

I know that you know...

game-theory mathematical-modeling asked Nov 23, 2012 at 14:57

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27 votes

Genealogy of the Lagrange inversion theorem

ho.history-overview cv.complex-variables co.combinatorics asked May 21, 2010 at 14:38

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27 votes

Is every real number in [0,1] a product of three (or more) Cantor set's numbers?

reference-request real-analysis analytic-number-theory additive-combinatorics descriptive-set-theory asked Dec 22, 2023 at 12:42

mathoverflow.net

25 votes

Asymptotic growth of a certain integer sequence

co.combinatorics asymptotics sequences-and-series partitions asked Aug 28, 2010 at 20:16

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24 votes

A puzzle about finding three points $(x,y)$, $(x,z)$ and $(y,z)$ in a subset of a square.

co.combinatorics pr.probability puzzle asked Feb 25, 2011 at 11:25

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24 votes

Why the sequence of Bernstein polynomials of $\sqrt x$ is increasing?

fa.functional-analysis ca.classical-analysis-and-odes polynomials convexity approximation-theory asked Jan 16, 2021 at 16:30

mathoverflow.net

23 votes

Best Hölder exponents of surjective maps from the unit square to the unit cube

real-analysis mg.metric-geometry geometric-measure-theory hausdorff-dimension asked Apr 27, 2015 at 8:14

mathoverflow.net

21 votes

Banach spaces with few linear operators ?

banach-spaces oa.operator-algebras asked Jul 5, 2010 at 20:22

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21 votes

Closed connected additive subgroups of the Hilbert space

hilbert-spaces topological-groups fa.functional-analysis asked Nov 8, 2010 at 16:48

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Top Answers

120

Suggestions for good notation

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German mathematical terms like "Nullstellensatz"

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A topologist is not a mathematician - a small question

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A truly amazing way of making the number 2016

puzzling.stackexchange.com

What is your favorite proof of Tychonoff's Theorem?

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Why do we teach calculus students the derivative as a limit?

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Is the sum $\sum\limits_{j=0}^{k-1}(-1)^{j+1}(k-j)^{2k-2} \binom{2k+1}{j} \ge 0?$

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A counterexample for Sard's theorem in $C^1$ regularity

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Did ancient mathematicians know Euler's characteristic for convex polyhedra?

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Compact embeddings of Sobolev spaces: a counterexample showing the Rellich-Kondrachov theorem is sharp

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For which maps $S^1\to S^1$ is the winding number defined?

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What is the most useful non-existing object of your field?

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Interesting examples of vacuous / void entities

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Why is it still common to not motivate results in publications?

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A Hölder continuous function which does not belong to any Sobolev space

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Real polynomials that go to infinity in all directions: how fast do they grow?

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How do professional mathematicians learn new things?

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Why is the Gamma function shifted from the factorial by 1?

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Square of a continuous map

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Asymptotic approximation of $x^\alpha$ by entire functions

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Binomial again, and again

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Are there such numbers?

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How to compute $\prod_{n=1}^{\infty} (1-p^{-n})$

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Geometric proof of the Vandermonde determinant?

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is f a polynomial provided that it is "partially" smooth?

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Making N (set of all positive integers) a group

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What if Current Foundations of Mathematics are Inconsistent?

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Closed form of an infinite series

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Noncombinatorial proofs of Ramsey's Theorem?

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Dual of the space of Hölder continuous functions?

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