| bio | website | |
|---|---|---|
| location | Kanpur, India | |
| age | ||
| visits | member for | 11 months |
| seen | 13 hours ago | |
| stats | profile views | 414 |
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. |