bio  website  

location  Chennai, India  
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visits  member for  3 years 
seen  38 mins ago  
stats  profile views  558 
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.
4h

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Density of polynomials with a prescribed number field extension
or rather $(2N+1)^{n+1}$? (I missed zero!) 
4h

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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? 
19h

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Open source mathematical software.
OP wanted abstract mathematics, and plotting is mostly about numerical mathematics and applied mathematics. 
Apr 17 
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Integer solution to the equation
No motivation, problem looks detailed and involved 
Apr 17 
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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 
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How to handle a polynomial whose roots exhibit obvious symmetry
Can I assume all your polynomials are irreducible? 
Apr 15 
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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 
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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 
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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 
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Is there any Lefschetzlike 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. 
Feb 8 
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Nonprincipal ideals in cyclotomic fields
Here is a way: Assume the prime ideal to be principal say generated by a cyclotomic integer $\alpha$. Calculate the norm of the prime above. Then the $N(\alpha)$, is also norma of a suitable integer in a quadratic subfield. Choose an imaginary quadratic subfield in $Q[\zeta_{39}]$, where the norm is a positive definite quadratic form; for a binary form it should be easy to check if it assumes a specific value or not. 