List questions from analytic-number-theory

Published on 16 Apr 2026 - 2:37

51

Views

On an identity relating to primes in arithmetic progression

Published on 14 Apr 2026 - 3:31

28

Views

Interchanging sum and integral in proof of summation by parts

Published on 14 Apr 2026 - 23:21

263

Views

A disproof of RH?

Published on 15 Apr 2026 - 10:42

61

Views

How to prove the inequality $\frac{1}{2}\lfloor\frac{x}{n(j)}\rfloor\lceil\frac{x}{n(j)}\rceil\ge s_j(x)$ on the Mertens function?

Published on 17 Apr 2026 - 8:34

82

Views

Big O in integral representation of arctan

Published on 13 Apr 2026 - 22:20

51

Views

Estimating number of 5th power free numbers

Published on 13 Apr 2026 - 11:38

101

Views

On a question regarding Zeta function integral similar to Balazard, Saias ,Yor integral

Published on 13 Apr 2026 - 13:59

82

Views

Stuck on Derivation of Chebyshev's Estimates for $\pi(n)$

Published on 11 Apr 2026 - 13:14

101

Views

Pustyl’nikov’s equivalent criteria for RH

Published on 15 Apr 2026 - 11:54

66

Views

How to deduce the inequality to show that $\frac{\pi(x)}{x} \to 0$?

Published on 14 Apr 2026 - 3:01

78

Views

Using Euler totient function to show density of primes is 0.

Published on 11 Apr 2026 - 6:54

62

Views

Does the mean of sum of the reciprocal of the distinct prime divisors of a number converge to the prime zeta function $P(2)$

Published on 13 Apr 2026 - 11:31

154

Views

Why is the reverse of a prime about $45\%$ more likely to be a prime than that of a composite?

Published on 13 Apr 2026 - 16:25

65

Views

How to show $2c_1 > c_2$ in Chebyshev's estimates for $\pi(x)$ to prove Bertrand's Postulate

Published on 15 Apr 2026 - 5:55

List Question

The estimate of the sum of $\frac{\log p_i}{p_i}$

On an identity relating to primes in arithmetic progression

Interchanging sum and integral in proof of summation by parts

A disproof of RH?

How to prove the inequality $\frac{1}{2}\lfloor\frac{x}{n(j)}\rfloor\lceil\frac{x}{n(j)}\rceil\ge s_j(x)$ on the Mertens function?

Big O in integral representation of arctan

Estimating number of 5th power free numbers

On a question regarding Zeta function integral similar to Balazard, Saias ,Yor integral

Stuck on Derivation of Chebyshev's Estimates for $\pi(n)$

Pustyl’nikov’s equivalent criteria for RH

How to deduce the inequality to show that $\frac{\pi(x)}{x} \to 0$?

Using Euler totient function to show density of primes is 0.

Does the mean of sum of the reciprocal of the distinct prime divisors of a number converge to the prime zeta function $P(2)$

Why is the reverse of a prime about $45\%$ more likely to be a prime than that of a composite?

How to show $2c_1 > c_2$ in Chebyshev's estimates for $\pi(x)$ to prove Bertrand's Postulate

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