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location  Chennai, India  
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visits  member for  2 years, 4 months 
seen  yesterday  
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2d

comment 
Rational points on a sphere in $\mathbb{R}^d$
If the radius $r$ is an integer express it as a sum of squares $r= \sum_{i=1}^k x_i^2 $ with $1\leq k \leq 4$. If the ambient dimension is $d$ then we can find ${d\choose k}$ integer points from the above expression and they should be affinely independent as required in Misha's comment above. 
Jul 8 
comment 
Subgroup property stronger than being characteristic
Thanks. I learnt something new and interesting today. 
Jul 8 
comment 
Variations to Cayley's Embedding Theorem for Groups
@ David: I checked that link and learnt something very much interesting and explained beautifully. Thanks. 
Jul 6 
comment 
Conjecture on irrational algebraic numbers
I did not know this was transcendental. Then this answers 3rd part of the question by OP. Thanks, Douglas Zare for such a detailed information and pointing out the reference. But I am still not able to figure out how to see that given number is the sum of the series you have described, also not able to see the connection to the Theta function paper you have cited. I'll think about it. 
Jul 6 
answered  Conjecture on irrational algebraic numbers 
Jul 4 
awarded  Good Question 
Jul 2 
awarded  Curious 
May 4 
revised 
Groups like symmetric group
Typos: "eith" > "with" and plural for property. 
May 4 
suggested  suggested edit on Groups like symmetric group 
Apr 25 
awarded  Informed 
Apr 24 
comment 
Which finite groups can be characterized by their subgroup orders?
How do you handle it when there are many suggroups of the same order. If you discount multiplicity the two groups of order 4 will have the same 'horoscope'. 
Apr 21 
comment 
Variations to Cayley's Embedding Theorem for Groups
If you can provide me the clarification about embedding Weyl groups of a Lie group in the Lie group itself I'd accept your answer. 
Apr 17 
comment 
lattice in number field already a fractional ideal?
You are specifying $f$ at all $x_i\cdot x_j$ which is more than $n$ in number, exceeding the degree of $K$; how can you guarantee such a linear map exists? 
Apr 17 
comment 
Variations to Cayley's Embedding Theorem for Groups
@ Derek Holt: Your second paragraph is the interpretation I had in my mind. But the Weyl groups $N(T)/T$ are not subgroups of Lie groups, Only the group $N(T)$ is a subgroup of $G$. Can you clarify? 
Apr 17 
asked  Variations to Cayley's Embedding Theorem for Groups 
Apr 17 
comment 
Advice for number theory library
I have heard that L.E. Dickson's centuryold work History of the Theory of Numbers in three volumes is a great work. According to Wikepedia this totals to 1600+ pages. 
Apr 13 
awarded  Yearling 
Apr 13 
comment 
Secant Lines contained in Hypersurfaces
+1 for a clear answer. 
Apr 12 
comment 
Is the big cell a principal open set?
Is this an intrinsic property? Does not it depend on how the affine algebraic group is realized as a linear algebraic group? 
Apr 12 
comment 
How can I solve a cubic equation in a finite field with characteristic 2?
Nice idea; it is amazing that linear algebra can be exploited to solve a cubic equation. Are there any similar tricks in other characteristics , especially 0? 