# Questions tagged [riemann-hypothesis]

Questions about the famous conjecture from Riemann saying that the non-trivial zeroes of the Riemann Zeta function all lie on the so-called critical line $\Re(s)=\dfrac{1}{2}$, its various generalizations and the different approaches towards its solution.

**10**

**1**answer

### Normal numbers, Liouville function, and the Riemann Hypothesis

**1**

**0**answers

### On primes of specified length and bit pattern

**-4**

**1**answer

### Scaled Riemann zeta function with no zero in the critical strip

**2**

**1**answer

### Truncated Euler products, Dirichlet eta function, and convergence issues

**7**

**1**answer

### The (current) obstructions for a cohomological interpretation of the Riemann zeta function

**1**

**0**answers

### Prove that: $\sum _{c=1}^n \sum _{b=1}^n \sum _{a=1}^n \left(\left([b|c][b|a]\frac{\mu(b)b}{a}\right)-\frac{1}{a b\sqrt{c}}\right)<H_n+n$

**4**

**1**answer

### Can the Lagarias inequality be written as a “kernel inequality”?

**4**

**0**answers

### To which value does this infinite sum of power series coefficients converge?

**0**

**1**answer

### How differently would we model the distribution of primes if prime gap is larger?

**0**

**0**answers

### Axiom of determinacy as setting for studying rigs with $\operatorname{Aut}(\mathcal{M})\cong\operatorname {Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$?

**2**

**0**answers

### Mertens Bound and the Riemann Hypothesis

**3**

**0**answers

### Lower bound of the modulus $|\eta(s)|$ of the Dirichlet Eta function if $0.6 < \Re(s) < 0.9$

**3**

**0**answers

### On RH in the Clay Institute list

**3**

**1**answer

### A Hadamard product representation for Keiper's $\tau$-function?

**0**

**0**answers

### Some properties of special Dirichlet series, connection to Riemann Hypothesis

**1**

**1**answer

### On some property of the zeros of $\zeta(s)$ in the complex plane

**27**

**1**answer

### Riemann's attempts to prove RH

**2**

**0**answers

### Why didn't Robin prove the Riemann Hypothesis?

**16**

**1**answer

### More mysteries about the zeros of the Riemann zeta function

**2**

**1**answer

### Is there a Riemann Hypothesis criterion utilizing sum of squares of divisors?

**2**

**2**answers

### Prove that the real part of this limit converges to $\frac{1}{2}$

**2**

**0**answers

### An interesting sequence of numbers arising from the Riemann hypothesis

**0**

**1**answer

### Where can I find the problem by Lagarias?

**3**

**1**answer

### Error term for the summatory function of $k$-free numbers indicator and RH

**2**

**1**answer

### $\frac{\sigma(n)}{n} < e \ln \ln (n)$ is true?

**7**

**1**answer

### Riemann hypothesis for exponential sum

**0**

**0**answers

### Error term in a sum of prime powers

**2**

**3**answers

### Show that the ratio of limits converges to the nearest Riemann zeta zero except when the ratio is a singularity

**1**

**0**answers

### Is $T(n)=\sum_{k=1}^{n}\frac{\lambda(k)\Lambda(k)}{k} \geq 0$ and what is the upper bound of $T(x)=\sum_{n\leq x} \lambda(n)\Lambda(n) $?

**6**

**0**answers

### Is there a conjectured uniform Lindelof hypothesis for Hurwitz zeta functions

**7**

**1**answer

### Is there a collection of evidence and heuristic arguments against the Riemann hypothesis? [closed]

**11**

**0**answers

### On a revised quantum Riemann hypothesis

**10**

**0**answers

### Toward a cyclotomic Riemann hypothesis

**0**

**2**answers

### An observation on the Riemann $\xi$ function

**6**

**3**answers

### What is the asymptotic of the irregular blue curve? Is it $(8x)^{1/2}$ or is it something else?

**0**

**0**answers

### On the asymptotics of the Chebyshev psi function

**2**

**0**answers

### Explicit formula for $n$th prime in terms of Riemann zeros:

**5**

**1**answer

### Proving a specific case of Robin's Inequality

**7**

**0**answers

### What is known about “almost orthogonal vectors”?

**0**

**1**answer

### On provability of false statements in constructive mathematics [closed]

**4**

**0**answers

### Has any professional mathematician ever attempted to solve the Riemann hypothesis using only number theory? [closed]

**6**

**1**answer

### Attempt at applying linear programming to the partial sums of the Möbius inverse of the Harmonic numbers

**3**

**0**answers

### Largest observed value of $S(t)$

**10**

**0**answers

### Bounding $1/\zeta(s)$ given RH

**9**

**0**answers

### On Riesz criteria for Riemann hypothesis:

**2**

**1**answer

### On a possible equivalent of Riemann hypothesis

**21**

**1**answer

### Is the Hilbert–Pólya intuition vindicated in the function field case?

**2**

**1**answer

### Interpretation of an equivalence to the Riemann hypothesis due to de Reyna and Toulisse in the spirit of a formula from an article

**2**

**0**answers

### On the connection between $\pi(x)-Li(x)$ and $\theta(x)-x$

**2**

**1**answer