User Lucia

97 votes

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Is the following identity true?

answered Jun 8, 2016 at 14:33

93 votes

Can the Poisson summation formula break?

answered Aug 23, 2013 at 16:38

68 votes

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Are the primes normally distributed? Or is this the Riemann hypothesis?

answered Apr 13, 2014 at 17:18

56 votes

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Is it possible to show that $\sum_{n=1}^{\infty} \frac{\mu(n)}{\sqrt{n}}$ diverges?

answered May 1, 2014 at 3:50

55 votes

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A family of polynomials whose zeros all lie on the unit circle

answered May 7, 2018 at 5:03

54 votes

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A remarkable almost-identity

answered Sep 5, 2018 at 21:02

48 votes

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Is this equivalent to RH - Riemann hypothesis?

answered Nov 6, 2017 at 1:36

43 votes

Why does the Riemann zeta function have non-trivial zeros?

answered Aug 29, 2013 at 23:34

42 votes

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A conjecture regarding prime numbers

answered Nov 26, 2017 at 17:38

42 votes

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Prime square offsets: Why is +7 more frequent than -7?

answered Apr 27, 2017 at 14:38

38 votes

Primes p=4k+1 such that k!+1 is divisible by p

answered May 7, 2014 at 19:06

37 votes

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When is the product $(1+1)(1+4)…(1+n^2)$ a perfect square?

answered Dec 27, 2013 at 15:02

37 votes

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Cricket and the Hardy-Littlewod maximal function

answered Mar 18, 2015 at 23:52

37 votes

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Is there a real nonintegral number $x >1$ such that $\lfloor x^n \rfloor$ is a square integer for all $n \in \mathbb{N}$?

answered Nov 9, 2020 at 2:08

36 votes

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Sets of unit fractions with sum $\leq 1$

answered Sep 14, 2017 at 11:49

35 votes

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Sum over permutations is 1

answered Feb 16, 2017 at 5:38

35 votes

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How strong is this conjecture? $(Z/nZ)^*$ is generated by "small" elements

answered May 11, 2014 at 5:48

34 votes

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Irrationality measure of log(2)/log(6)

answered May 14, 2014 at 1:20

34 votes

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Why does this sequence converges to $\pi$?

answered Jan 14, 2015 at 18:38

34 votes

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When does doubling the size of a set multiply the number of subsets by an integer?

answered Jul 8, 2018 at 5:31

33 votes

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Distribution of square roots mod 1

answered Feb 2, 2018 at 23:45

31 votes

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Euler and the Four-Squares Theorem

answered Sep 3, 2013 at 1:17

29 votes

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Diophantine equation $3^a+1=3^b+5^c$

answered Apr 22, 2019 at 0:44

29 votes

Is there a Kolmogorov complexity proof of the prime number theorem?

answered Aug 8, 2019 at 15:15

28 votes

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Is there an explicit expression for Chebyshev polynomials modulo $x^r-1$?

answered Nov 21, 2017 at 15:54

28 votes

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What's special about the circle problem?

answered Dec 17, 2015 at 22:13

28 votes

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distribution of $\sqrt{-1} \mod p$

answered Apr 14, 2015 at 18:29

28 votes

Is $\sum_{k=1}^{n} \sin(k^2)$ bounded by a constant $M$?

answered Apr 16, 2015 at 3:50

27 votes

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Distribution of $a^2+\alpha b^2$

answered May 5, 2014 at 13:59

26 votes

The prime numbers modulo $k$, are not periodic

answered May 28, 2014 at 19:47

Stack Exchange Network

288 Answers

Is the following identity true?

Can the Poisson summation formula break?

Are the primes normally distributed? Or is this the Riemann hypothesis?

Is it possible to show that $\sum_{n=1}^{\infty} \frac{\mu(n)}{\sqrt{n}}$ diverges?

A family of polynomials whose zeros all lie on the unit circle

A remarkable almost-identity

Is this equivalent to RH - Riemann hypothesis?

Why does the Riemann zeta function have non-trivial zeros?

A conjecture regarding prime numbers

Prime square offsets: Why is +7 more frequent than -7?

Primes p=4k+1 such that k!+1 is divisible by p

When is the product $(1+1)(1+4)…(1+n^2)$ a perfect square?

Cricket and the Hardy-Littlewod maximal function

Is there a real nonintegral number $x >1$ such that $\lfloor x^n \rfloor$ is a square integer for all $n \in \mathbb{N}$?

Sets of unit fractions with sum $\leq 1$

Sum over permutations is 1

How strong is this conjecture? $(Z/nZ)^*$ is generated by "small" elements

Irrationality measure of log(2)/log(6)

Why does this sequence converges to $\pi$?

When does doubling the size of a set multiply the number of subsets by an integer?

Distribution of square roots mod 1

Euler and the Four-Squares Theorem

Diophantine equation $3^a+1=3^b+5^c$

Is there a Kolmogorov complexity proof of the prime number theorem?

Is there an explicit expression for Chebyshev polynomials modulo $x^r-1$?

What's special about the circle problem?

distribution of $\sqrt{-1} \mod p$

Is $\sum_{k=1}^{n} \sin(k^2)$ bounded by a constant $M$?

Distribution of $a^2+\alpha b^2$

The prime numbers modulo $k$, are not periodic