List questions from analytic-number-theory

Published on 13 Apr 2026 - 21:49

91

Views

Semiprime of the form $x^2 + 5 y^2$

Published on 15 Apr 2026 - 17:34

355

Views

Estimating sums over primes

Published on 12 Apr 2026 - 23:30

26

Views

Integers with prescribed divisor count

Published on 26 Mar 2026 - 9:39

471

Views

Exercise 2 from Terry Tao's blog on Euler-Maclaurin, Bernouilli numbers, and the zeta function

Published on 26 Mar 2026 - 9:41

217

Views

Analytical Way of Estimating Sums of Floor Functions

Published on 26 Mar 2026 - 13:01

1.1k

Views

M and n are positive integers such that $2^n - 3^m > 0$. Prove (or disprove) that $2^n - 3^m \geqslant 2^{n-m}-1$.

Published on 27 Mar 2026 - 5:41

193

Views

What was the heuristics behind Gauss's guess on the asymptotic distribution of k-almost primes?

Published on 12 Apr 2026 - 11:54

86

Views

How well are the real parts of Zeta function zeros bounded?

Published on 10 Apr 2026 - 11:17

583

Views

How do we prove that the Riemann zeta function has at least one zero with real part being one half?

Published on 10 Apr 2026 - 13:06

78

Views

What about the convergence of $\lim_{x\to\infty}\sum_{1\leq n\leq x}\frac{\lambda(n)}{\operatorname{rad}(n)}\log\left(\frac{x}{n}\right)$?

Published on 27 Mar 2026 - 2:03

35

Views

Upper bound of $\left| \sum_{n=1}^N e^{2\pi i\psi(n+1)} \right|$, where $\psi(x)$ is the digamma function

Published on 15 Apr 2026 - 9:46

160

Views

Are there too many 8-digit primes $p$ for Mersenne primes $M_p$?

Published on 09 Apr 2026 - 15:13

185

Views

Convergence of $\sum_{n=1}^\infty\mu(n)\int_0^1\cos\left(\sqrt{\pi n z}\right)dz$, where $\mu(n)$ is the Möbius function

Published on 27 Mar 2026 - 14:03

47

Views

An inequality involving the Möbius function deduced using the Steffensen's inequality

Published on 27 Mar 2026 - 14:10

List Question

Related to bounds for n-th prime

Semiprime of the form $x^2 + 5 y^2$

Estimating sums over primes

Integers with prescribed divisor count

Exercise 2 from Terry Tao's blog on Euler-Maclaurin, Bernouilli numbers, and the zeta function

Analytical Way of Estimating Sums of Floor Functions

M and n are positive integers such that $2^n - 3^m > 0$. Prove (or disprove) that $2^n - 3^m \geqslant 2^{n-m}-1$.

What was the heuristics behind Gauss's guess on the asymptotic distribution of k-almost primes?

How well are the real parts of Zeta function zeros bounded?

How do we prove that the Riemann zeta function has at least one zero with real part being one half?

What about the convergence of $\lim_{x\to\infty}\sum_{1\leq n\leq x}\frac{\lambda(n)}{\operatorname{rad}(n)}\log\left(\frac{x}{n}\right)$?

Upper bound of $\left| \sum_{n=1}^N e^{2\pi i\psi(n+1)} \right|$, where $\psi(x)$ is the digamma function

Are there too many 8-digit primes $p$ for Mersenne primes $M_p$?

Convergence of $\sum_{n=1}^\infty\mu(n)\int_0^1\cos\left(\sqrt{\pi n z}\right)dz$, where $\mu(n)$ is the Möbius function

An inequality involving the Möbius function deduced using the Steffensen's inequality

Trending Questions

Popular # Hahtags

Popular Questions