Intereting Posts

Proving equivalence of different definitions of sub modular functions
Is the size of the Galois group always $n$ factorial?
Overdetermined System Ax=b
A group generated by two elements such that its product with itself is not generated by two elements.
If $X$ is an infinite set and there exists an injection $X \to \mathbb{N}$, is there also a bijection?
Mean value theorem and the axiom of choice
finitely generated over invariants
Saturated damped harmonic oscillator
Computing with ideals: over $K$ or over $\mathbb{Q}\subseteq K$? does it matter?
Order preserve after taking expectation “piecewisely”
Fourier Series of $f(x) = x$
Solving a sum of exponentials
Prove the fractions aren't integers
Cardinality of the set of all real functions of real variable
Size of a union of two sets

We know that we can prove weak Goldbach Conjecture (three prime theorem) if we assume GRH (Hardy-Littlewood had proved this).

Can we also prove strong Goldbach Conjecture if we assume GRH ?

Also, any results on reverse direction ?

If we assume Goldbach Conjecture holds true, can we get any results about GRH ?

- Euler Totient Issues
- What is known about the 'Double log Eulers constant', $\lim_{n \to \infty}{\sum_{k=2}^n\frac{1}{k\ln{k}}-\ln\ln{n}}$?
- Tying some pieces regarding the Zeta Function and the Prime Number Theorem together
- Sum of squares of sum of squares function $r_2(n)$
- Why does zeta have infinitely many zeros in the critical strip?
- Counting squarefree numbers which have $k$ prime factors?

- Mean Value of a Multiplicative Function close to $n$ in Terms of the Zeta Function
- Calculating the limit of the derivative of a sum of digamma functions
- Primes and arithmetic progressions
- Intuitive explanation with rigorous details why zeta has infinitely many zeros?
- Two exercises on characters on Marcus (Part 2)
- On $x^3+y^3=z^3$, the Dixonian elliptic functions, and the Borwein cubic theta functions
- Proving that $\pi(2x) < 2 \pi(x) $
- What are dirichlet characters?
- Could it be that Goldbach conjecture is undecidable?
- The value of a Dirichlet $L$-function (and its derivative) at $s=0$

- Is any Banach space a dual space?
- Integration double angle
- Asymptotics for Mertens function
- A number when successively divided by $9$, $11$ and $13$ leaves remainders $8$, $9$ and $8$ respectively
- Can someone give me an example of how to work out an exact linear second order differential equation?
- Continuous function and open set
- Show that the following is a metric on $\mathbb R$
- Abelian $2$-groups
- Is Arens Square a Urysohn space?
- Given complex $|z_{1}| = 2\;\;,|z_{2}| = 3\;\;, |z_{3}| = 4\;\;$ : when and what is $\max$ of $|z_{1}-z_{2}|^2+|z_{2}-z_{3}|^2+|z_{3}-z_{1}|^2$
- Integration of $1/(x^2+x\sqrt{x})$
- Integrable function whose Fourier transform is not integrable
- Easy criteria to determine isomorphism of fields?
- Unique quadratic subfield of $\mathbb{Q}(\zeta_p)$ is $\mathbb{Q}(\sqrt{p})$ if $p \equiv 1$ $(4)$, and $\mathbb{Q}(\sqrt{-p})$ if $p \equiv 3$ $(4)$
- Proof of Cauchy-Schwarz inequality – Why select s so that so that $||x-sy||$ would be minimized?