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I am a mathematics undergrad at IITK. I like discrete mathematics and interested in pursuing research in Algebraic Number Theory in future.

The most beautiful thing in discrete mathematics till now I have seen is Galois Theory. Hope to see more such amazing theories ...


1d
comment Bertrand's postulate in another point of view
$\pi (n)$ is not exactly equal to $n/\ln n$, they are approximately equal.
2d
comment Integral basis for a number field
Can you give some hint how to show that $|\Delta (x_1,\ldots ,x_n)|$ is minimal? The rest actually I knew :) I can compute this in terms of $\Delta ({1,\theta ,\ldots ,\theta^{n-1}})$ but I dont think that will help because we don't know any thing abot the latter.
2d
asked Integral basis for a number field
May
20
comment Showing that a real number is an algebraic integer
How do you show that $1,\vartheta,\vartheta^2/5$ is an integral basis ? Actually I encountered this problem while trying to show that $1,\vartheta,\vartheta^2/5$ is an integral basis, in that case the argument would be cyclic. But still there might be a different way to show that this is an integral basis.
May
20
asked Showing that a real number is an algebraic integer
May
17
asked Proof of Stickelberger’s Theorem
May
14
answered Integrating a sine function that is to an odd power
May
13
answered Trees and leaf: Graph Theory
May
13
answered Complex Solutions to Polynomials
May
11
answered Counting the numbers between $1$ and $1,000,000$ whose digits sum to $30$
May
9
revised Find the following integral:
added 1 characters in body
May
9
revised Find the following integral:
added 282 characters in body
May
9
comment Show that $\sqrt[3]{2+\frac {10} 9\sqrt 3}+\sqrt[3]{2-\frac {10} 9\sqrt 3}=2$
@Did: You are correct, I am really sorry.
May
9
comment Show that $\sqrt[3]{2+\frac {10} 9\sqrt 3}+\sqrt[3]{2-\frac {10} 9\sqrt 3}=2$
@DId: I think putting $y=2x/3$ one would get the same cubic equation as lab bhattacherjee got.
May
9
answered Find the following integral:
May
7
awarded  Caucus
May
6
awarded  Nice Answer
May
6
comment Why is it important to study combinatorics?
Combinatorics is used in almost everywhere for analyzing algorithms in Computer Science and to come up with efficient algorithms.
May
6
answered Prove $a+b+c+d $ is composite
May
5
comment How I can prove that: If $X$ is compact, then any map $f\colon X \to Y$ is proper?
@K.Stm. You are correct, I'll edit.