1,156 reputation
1117
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location Chennai, India
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visits member for 3 years, 3 months
seen Jul 26 at 13:35

Teaching at the Chennai campus of Vellore Institute of Technology, exclusively to engineering students since 2011. In an earlier job was teaching Mathematics majors; missing that atmosphere drove me to search for this type of site.


May
9
answered Roots of not-necessarily reciprocal polynomials
Apr
28
comment Factoring a polynomial in a specific manner
Your definition of $d'$ involves an undefined $l$. Can you look into it.
Apr
25
comment Density of polynomials with a prescribed number field extension
or rather $(2N+1)^{n+1}$? (I missed zero!)
Apr
25
comment Density of polynomials with a prescribed number field extension
As the coefficients $a_i$ can lie between $-N$ and $N$, should not the definition of density have $(2N)^{n+1}$ in the denominator?
Apr
24
comment Open source mathematical software
OP wanted abstract mathematics, and plotting is mostly about numerical mathematics and applied mathematics.
Apr
17
comment Primes as uncorrelated random variables
I once saw a heuristic argument that the probability of two numbers being relatively prime is $6/\pi^2$, the computation involving calculating the value of Euler's zeta function value $\zeta(2)$. How does this gel with this?
Apr
15
comment How to handle a polynomial whose roots exhibit obvious symmetry
Can I assume all your polynomials are irreducible?
Apr
15
comment How to handle a polynomial whose roots exhibit obvious symmetry
You say you expect to reduce the polynomial because of cyclic group of order 3. What exactly do you mean by reducing? Your polynomials are not irreducible? And your plot needs info on how to interpret: are the dots hights represent roots (real numbers always?) Multiple dots at same level does that means roots of same modulus?
Apr
14
comment Decomposition space of $\mathbb{C}$ by concentric circles
Thats right; you gave the answer first; I gave an explanation justifyuing; I'd encourage you to rewrite your comment as answer, then I'll upvote that and delete my answer. OK?
Apr
13
awarded  Yearling
Apr
13
answered Decomposition space of $\mathbb{C}$ by concentric circles
Mar
26
answered Existence of functions on finite sets with specific propertise
Mar
16
comment Range of a trace preserving completely positive projection
Request Eckhardt to make the comment into an answer and H\'ector to accept it so that the question does not end up as showing unanswered.
Feb
20
accepted Do all algebraic number fields arise from Eisenstein polynomials?
Feb
20
comment Do all algebraic number fields arise from Eisenstein polynomials?
Thanks for a clear answer, Michael Stoll, and also to Mostafa.
Feb
20
revised Do all algebraic number fields arise from Eisenstein polynomials?
added note on abelian extension
Feb
20
asked Do all algebraic number fields arise from Eisenstein polynomials?
Feb
20
answered Irreducibility of cyclotomic polynomial over real quadratic number field
Feb
17
comment Set nor its compliment contain an uncountable closed set
The set of irrational numbers? The complement being countable satisfies. I don't know if there is an uncountable subset of irrationals that form a closed set.
Feb
12
comment Is there any Lefschetz-like principle for representations of finite groups?
Nice to get a comment from the master himself! Thanks for your explicit statement about divisibility that I did not know earlier. (Perhaps I did not study the textbooks carefully). As the divisibility proofs used the fact an algebraic integer that is rational is a usual integer I could not guess about representations in prime characteristic.