pritam

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	location	Kanpur, India
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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 ...

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142 Answers

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30	Proof: If n is a perfect square, $\,n+2\,$ is NOT a perfect square
17	How to evaluate the series $1+\frac34+\frac{3\cdot5}{4\cdot8}+\frac{3\cdot5\cdot7}{4\cdot8\cdot12}+\cdots$
12	Evaluate $\displaystyle\sum_{k=1}^nk\cdot k!$
12	Prove $a+b+c+d $ is composite
11	Example of a group which is abelian and has finite (except the $e$) and infinite order elements.

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5,139 Reputation

+5	A doubt about analytic functions
+10	Find maximum and minimum of $f(x, y) = xy$ on $D = \left\{ (x,y) \in \mathbb{R}^2: x^2+2y^2 \leq 1 \right\}$
+10	Number of solutions of $ax \equiv b \mod n$
+15	$\\|x -y\\|+\\|y-z\\|=\\|x-z\\|$ implies $y= a x + b z$ where $a +b =1$

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45 Questions

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9	Showing that a real number is an algebraic integer
8	Countable set having uncountably many infinite subsets
7	Fibonacci numbers divisible by $9$
7	Connectedness of $\lbrace z\in\mathbb{C} : \|z^2+az+b\|<r\rbrace$
6	How many points of intersection?

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106 Tags

43 proof-strategy × 3	32 elementary-number-theory × 12
41 homework × 12	28 abstract-algebra × 18
36 discrete-mathematics × 7	27 ring-theory × 8
34 calculus × 17	26 linear-algebra × 19
34 sequences-and-series × 11	23 commutative-algebra × 8

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45 Votes Cast

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