User Sandeep Silwal

38 votes

5 answers

2k views

Unexpected Proofs Using Generating Functions

asked Dec 31, 2016 at 1:38

19 votes

2 answers

574 views

Sumset that covers $\mathbb{Z}/p\mathbb{Z}$.

combinatorics number-theory prime-numbers additive-combinatorics

asked Nov 25, 2017 at 18:31

16 votes

4 answers

690 views

Applications of Switching Sums and Integrals

integration limits summation

asked Dec 27, 2016 at 2:08

13 votes

1 answer

876 views

Families of Polynomials Irreducible in $\mathbb{Z}$ but reducible in $\mathbb{Z}/p\mathbb{Z}$ for all primes $p$.

polynomials field-theory irreducible-polynomials

asked Aug 2, 2014 at 14:44

8 votes

2 answers

7k views

Lambert's Original Proof that $\pi$ is irrational.

irrational-numbers pi

asked Aug 12, 2014 at 22:30

8 votes

3 answers

400 views

If a sequence grows too fast, then its harmonic sum cannot be rational

real-analysis sequences-and-series irrational-numbers rational-numbers

asked Mar 3, 2017 at 2:43

7 votes

1 answer

254 views

Probability that Random Harmonic Type Series Converges

real-analysis sequences-and-series probability-theory stochastic-processes

asked Mar 31, 2017 at 17:42

7 votes

2 answers

2k views

Eigenvalues of Symmetric Matrix Plus Diagonal Matrix

linear-algebra eigenvalues-eigenvectors numerical-linear-algebra

asked Jan 7, 2018 at 3:11

7 votes

1 answer

138 views

Special Vertex Partitioning

combinatorics graph-theory reference-request

asked Dec 26, 2015 at 0:09

7 votes

2 answers

261 views

Quantifying how crowded points are in $d$ dimensional cube

geometry inequality upper-lower-bounds

asked Dec 24, 2018 at 1:47

7 votes

4 answers

1k views

Finding all primes $(p,q)$ for perfect squares.

number-theory elementary-number-theory contest-math

asked Apr 19, 2014 at 14:45

6 votes

3 answers

304 views

Evaluating $\int_0^{1/2} \log(1-x) \log(1-2x) \ dx$.

calculus integration definite-integrals

asked Dec 28, 2016 at 22:50

5 votes

1 answer

110 views

Sum of Residues Modulo $p^2$.

number-theory elementary-number-theory prime-numbers

asked May 20, 2014 at 20:20

5 votes

1 answer

83 views

Help Understanding Step in Proof of Convergence

real-analysis convergence-divergence

asked Sep 14, 2014 at 5:06

5 votes

1 answer

177 views

Partitioning Integers into Equal Sets to Guarantee Arithmetic Progression

combinatorics ramsey-theory

asked Dec 28, 2014 at 22:34

5 votes

1 answer

1k views

Polynomial with a root modulo every prime but not in $\mathbb{Q}$. [duplicate]

abstract-algebra number-theory irreducible-polynomials

asked Dec 30, 2014 at 22:32

5 votes

3 answers

443 views

Factoring product of two primes from solutions of congruence

elementary-number-theory cryptography

asked May 19, 2015 at 1:17

4 votes

0 answers

334 views

Finding the sum of the coefficient squared of a polynomial

number-theory polynomials

asked Dec 30, 2014 at 8:12

4 votes

1 answer

82 views

Primes in an Infinite Set

number-theory elementary-number-theory prime-numbers

asked May 15, 2014 at 4:03

4 votes

2 answers

3k views

Extending 'Guess 2/3 of the Average' Game

limits functions game-theory

asked Aug 11, 2016 at 18:43

3 votes

2 answers

1k views

Discrete Harmonic Function Problem

functions discrete-mathematics harmonic-functions

asked Aug 12, 2016 at 15:13

3 votes

1 answer

475 views

What is the simplest to prove, non-trivial upper bound of prime counting function?

prime-numbers

asked Aug 18, 2016 at 18:29

3 votes

0 answers

49 views

Vector Maximizing Numerical Range of Matrix

linear-algebra reference-request eigenvalues-eigenvectors spectral-theory

asked Jan 3, 2018 at 5:36

3 votes

2 answers

356 views

Upper Bound on Expected Value of $n$ i.i.d. Poisson random variables.

probability probability-distributions expected-value

asked Dec 6, 2018 at 18:41

3 votes

3 answers

299 views

Existence of $x,y$ Satisfying Diophantine Equation

elementary-number-theory

asked May 21, 2014 at 22:41

3 votes

0 answers

233 views

Efficient way to count number of arithmetic progression on coloring of $\mathbb{N}$.

coloring arithmetic-combinatorics

asked Aug 2, 2014 at 19:17

3 votes

1 answer

100 views

Behavior of Two Functions

real-analysis functions

asked Jun 9, 2014 at 21:54

3 votes

1 answer

134 views

Counting the Number of Points in an Algebraic Variety

number-theory algebraic-geometry combinatorial-number-theory

asked Sep 13, 2014 at 18:52

2 votes

1 answer

64 views

Convergence of Difference of Sequences

real-analysis sequences-and-series

asked Oct 14, 2014 at 1:09

2 votes

0 answers

43 views

When to Stop Rolling and Bail [duplicate]

probability combinatorics statistics

asked Dec 11, 2015 at 7:10

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59 Questions

Unexpected Proofs Using Generating Functions

Sumset that covers $\mathbb{Z}/p\mathbb{Z}$.

Applications of Switching Sums and Integrals

Families of Polynomials Irreducible in $\mathbb{Z}$ but reducible in $\mathbb{Z}/p\mathbb{Z}$ for all primes $p$.

Lambert's Original Proof that $\pi$ is irrational.

If a sequence grows too fast, then its harmonic sum cannot be rational

Probability that Random Harmonic Type Series Converges

Eigenvalues of Symmetric Matrix Plus Diagonal Matrix

Special Vertex Partitioning

Quantifying how crowded points are in $d$ dimensional cube

Finding all primes $(p,q)$ for perfect squares.

Evaluating $\int_0^{1/2} \log(1-x) \log(1-2x) \ dx$.

Sum of Residues Modulo $p^2$.

Help Understanding Step in Proof of Convergence

Partitioning Integers into Equal Sets to Guarantee Arithmetic Progression

Polynomial with a root modulo every prime but not in $\mathbb{Q}$. [duplicate]

Factoring product of two primes from solutions of congruence

Finding the sum of the coefficient squared of a polynomial

Primes in an Infinite Set

Extending 'Guess 2/3 of the Average' Game

Discrete Harmonic Function Problem

What is the simplest to prove, non-trivial upper bound of prime counting function?

Vector Maximizing Numerical Range of Matrix

Upper Bound on Expected Value of $n$ i.i.d. Poisson random variables.

Existence of $x,y$ Satisfying Diophantine Equation

Efficient way to count number of arithmetic progression on coloring of $\mathbb{N}$.

Behavior of Two Functions

Counting the Number of Points in an Algebraic Variety

Convergence of Difference of Sequences

When to Stop Rolling and Bail [duplicate]