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7h
comment Goldbach's conjecture and number of ways in which an even number can be expressed as a sum of two primes
Your $g(n)$ is clearly no bigger than the number of primes up to $2n$. For $n$ large, the number of primes less than $2n$ is roughly $2n/\log n$, which is much smaller than $n/8$. So the "quick and dirty" estimate can't be much good, once $n$ is large enough. Also, to the best of my knowledge, the Riemann Hypothesis has nothing to do with it.
1d
comment How find this diophantine equation $(3x-1)^2+2=(2y^2-4y)^2+y(2y-1)^2-6y$ integer solution
So you don't really know whether it is solvable, or whether there is an elementary approach.
1d
comment How find this diophantine equation $(3x-1)^2+2=(2y^2-4y)^2+y(2y-1)^2-6y$ integer solution
Where does this come from? Do you have some reason to believe that it's possible to solve it?
1d
comment full row rank matrix and 2-norm solution
You can do better than this.
Dec
18
comment $a=3X^2+X+2 \in \mathbb{Z}_7[X]$. Compute the inverse of $[a]$ in $\mathbb{Z}_7[X]/(X^3+4)$
So, what did your professor say?
Dec
17
comment polynomial algebra and multiplications of its elements
Any developments?
Dec
17
comment Finding the different numbers whose sum squares give a number which has same digits
Anything to say/ask about the answers you've had, Ehegh?
Dec
14
comment $a=3X^2+X+2 \in \mathbb{Z}_7[X]$. Compute the inverse of $[a]$ in $\mathbb{Z}_7[X]/(X^3+4)$
I think all you have to check is whether you can find a polynomial $f$ such that $(4x^2+x+4)(3x^2+x+2)-1=(x^3+4)f(x)$. Do you need a professor for that?
Dec
14
comment Linear transformation, matrix and basis
Are you still here?
Dec
14
comment $a=3X^2+X+2 \in \mathbb{Z}_7[X]$. Compute the inverse of $[a]$ in $\mathbb{Z}_7[X]/(X^3+4)$
Are you still here?
Dec
14
comment Find smallest $x$ such that $a^x \equiv b \bmod p$
@PVa, not if the closed formula was computationally infeasible.
Dec
14
comment Find smallest $x$ such that $a^x \equiv b \bmod p$
Proof? Citation?
Dec
14
comment Find the number of elements of quotient rings
Can you show that the elements $1+(2x+4),x+(2x+4),x^2+(2x+4),\dots$ are all distinct?
Dec
14
comment Classic Circle and Adjacent Arrangement Problem
HMMT problems and solutions seem to be available at hmmt.mit.edu/archive/problems though I didn't see this one (but I wasn't sure where to look). Anyway, can you find some value of $n$ that works? If you have some $n$, then you can work on trying to decrease it, or trying to show the one you have is minimal.
Dec
13
comment Classic Circle and Adjacent Arrangement Problem
I mean what I wrote. What's the source of this problem, please?
Dec
13
comment polynomial algebra and multiplications of its elements
That doesn't really answer my question. Anyway, I suggest you have a look at the exact wording of the definition, wherever you found it, and see whether you have reproduced it accurately.
Dec
13
comment Classic Circle and Adjacent Arrangement Problem
What's the source of this problem, please?
Dec
13
comment polynomial algebra and multiplications of its elements
Where did you see this "definition" of $A(n,m)$? Something is clearly wrong, either in the definition or in your report on it.
Dec
13
comment References for Riemann Hypotheis giving the best bound for Prime Number Theorem
Have you tried picking up any book about Analytic Number Theory? These questions are discussed in many textbooks.
Dec
13
comment Greatest common divisor is divisible by every common divisor
What definition of gcd do you use? The one I use says that the gcd is the positive common divisor divisible by all the other common divisors, so your question is part of my definition.