User Alexandre Eremenko

22 votes

Accepted

Is there an analytic non-linear function that maps rational numbers to rational numbers and it maps irrational numbers to irrational numbers?

answered Nov 10, 2022 at 13:05

22 votes

If $f$ is $C^{\infty}$ and $f^2$ is analytic, then $f$ is analytic

answered Nov 20, 2013 at 21:48

22 votes

Examples of advance via good definitions

answered Mar 2, 2017 at 14:11

22 votes

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Poincaré metric on the Riemann sphere minus more than two points

answered Nov 26, 2018 at 16:11

21 votes

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Zeros of an infinite series

answered Jan 19, 2019 at 14:29

21 votes

What fraction of the integer lattice can be seen from the origin?

answered Dec 13, 2013 at 17:46

21 votes

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How many isolated roots can a polynomial in $z$ and $\overline{z}$ have?

answered Oct 26, 2014 at 2:30

21 votes

Solve recurrence relation

answered May 30 at 14:06

20 votes

(Obscure) areas of mathematics that are largely inactive or forgotten today?

answered Jul 24, 2023 at 6:22

20 votes

Zeros of a complex function

answered Jul 4, 2022 at 5:39

20 votes

Historical (personal) examples of teaching-based research

answered Apr 1, 2015 at 19:03

20 votes

Submitting a companion paper with detailed proofs ?

answered Jan 16, 2014 at 20:39

20 votes

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Zeros of polynomials with real positive coefficients

answered Jul 8, 2013 at 16:28

20 votes

Is the field of q-series 'dead'?

answered May 23, 2019 at 12:39

20 votes

Who was H. Vogt?

answered Mar 17, 2021 at 17:04

19 votes

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What do we learn from the Wronskian in the theory of linear ODEs?

answered May 27, 2020 at 19:54

19 votes

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Does Rademacher's convergent series for p(n) define an analytic function?

answered Jul 28, 2020 at 2:38

19 votes

Example of a Mathematician/Physicist whose Other Publications during their PhD eclipsed their PhD Thesis

answered Mar 29, 2019 at 3:45

19 votes

Geodesics on the sphere

answered Jan 14, 2019 at 13:50

19 votes

What to do if you notice a substantial improvement to a result in a paper whilst refereeing it?

answered Dec 10, 2018 at 3:58

19 votes

Why is Gauss credited with this connection?

answered Nov 17, 2012 at 2:14

19 votes

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Is two years without a referee report normal?

answered May 5, 2014 at 18:36

19 votes

What is $\infty^6$?

answered Jun 6, 2015 at 6:07

19 votes

Does the proof of Picard's theorem become simpler by increasing the number of points that are not attained?

answered Jun 27, 2015 at 8:51

19 votes

Do's and don'ts of writing survey papers

answered Jul 10, 2014 at 5:05

19 votes

What should one do before submitting a paper?

answered Dec 28, 2022 at 14:31

18 votes

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Can the topologist's sine curve be realized as a Julia set?

answered May 24 at 11:52

18 votes

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What does analyticity imply in complex analysis?

answered Nov 16, 2014 at 13:04

18 votes

The Unreasonable Effectiveness of Physics in Mathematics. Why ? What/how to catch?

answered Dec 16, 2012 at 19:02

18 votes

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The Paley-Wiener theorem and exponential decay.

answered Feb 23, 2013 at 4:44

Stack Exchange Network

1,420 Answers

Is there an analytic non-linear function that maps rational numbers to rational numbers and it maps irrational numbers to irrational numbers?

If $f$ is $C^{\infty}$ and $f^2$ is analytic, then $f$ is analytic

Examples of advance via good definitions

Poincaré metric on the Riemann sphere minus more than two points

Zeros of an infinite series

What fraction of the integer lattice can be seen from the origin?

How many isolated roots can a polynomial in $z$ and $\overline{z}$ have?

Solve recurrence relation

(Obscure) areas of mathematics that are largely inactive or forgotten today?

Zeros of a complex function

Historical (personal) examples of teaching-based research

Submitting a companion paper with detailed proofs ?

Zeros of polynomials with real positive coefficients

Is the field of q-series 'dead'?

Who was H. Vogt?

What do we learn from the Wronskian in the theory of linear ODEs?

Does Rademacher's convergent series for p(n) define an analytic function?

Example of a Mathematician/Physicist whose Other Publications during their PhD eclipsed their PhD Thesis

Geodesics on the sphere

What to do if you notice a substantial improvement to a result in a paper whilst refereeing it?

Why is Gauss credited with this connection?

Is two years without a referee report normal?

What is $\infty^6$?

Does the proof of Picard's theorem become simpler by increasing the number of points that are not attained?

Do's and don'ts of writing survey papers

What should one do before submitting a paper?

Can the topologist's sine curve be realized as a Julia set?

What does analyticity imply in complex analysis?

The Unreasonable Effectiveness of Physics in Mathematics. Why ? What/how to catch?

The Paley-Wiener theorem and exponential decay.