User math is fun

6 votes

1 answer

166 views

Integration is zero implies $g$ is continuous

asked Dec 27, 2020 at 23:33

5 votes

1 answer

154 views

eliminate A,B and C

trigonometry proof-writing systems-of-equations

asked May 3, 2017 at 17:39

5 votes

2 answers

1k views

$\ell^2$ is not locally compact

compactness locally-compact-groups

asked May 20, 2017 at 20:19

4 votes

2 answers

154 views

All prime divisors of $\frac{x^m+1}{x+1}$ are of the form $2km+1$.

number-theory elementary-number-theory prime-numbers algebraic-number-theory analytic-number-theory

asked May 31, 2020 at 8:57

4 votes

1 answer

121 views

Understanding Sylvester' s $1871$ paper of primes in arithmetic progression of the forms $4n+3$ and $6n+5$

number-theory prime-numbers algebraic-number-theory analytic-number-theory prime-gaps

asked Jun 2, 2020 at 9:14

4 votes

1 answer

85 views

There exist infinitely many subsequences of $(f_{m})_{m \geq 1}$ which converge at every point of $E$

real-analysis functional-analysis analysis uniform-convergence

asked May 14, 2020 at 22:01

4 votes

2 answers

108 views

$ a^2 <10^{\sqrt{a}}$ for $a\geq 2$.

real-analysis inequality

asked Jun 14, 2020 at 11:18

3 votes

2 answers

109 views

To check whether $ 10^{c} \frac{N}{e} > (N!)^{\frac{1}{N}} > \frac{N}{e}$

real-analysis number-theory elementary-number-theory analytic-number-theory

asked Jun 13, 2020 at 9:52

3 votes

2 answers

81 views

$\frac{1}{4} (a^2+ 3 b^2)$ is of the form $(c^2+ 3 d^2)$

number-theory elementary-number-theory

asked Jun 9, 2020 at 22:37

3 votes

1 answer

104 views

Behmann's proof of Infinitude of primes.

number-theory elementary-number-theory prime-numbers algebraic-number-theory analytic-number-theory

asked Jun 20, 2020 at 16:47

3 votes

0 answers

76 views

Proving certain inequality related to Primes [closed]

number-theory elementary-number-theory prime-numbers algebraic-number-theory analytic-number-theory

asked Jun 2, 2020 at 18:34

3 votes

1 answer

104 views

Number of group homomorphism from $ \mathbb{Z}_{2} * \mathbb{Z}_{2} \to D_{8}$.

abstract-algebra group-theory finite-groups abelian-groups symmetric-groups

asked May 14, 2020 at 16:00

2 votes

0 answers

44 views

There exist a point $ c \in [a,b]$ such that $f(c)= \frac{f(x_{1})+f(x_{2})+...+f(x_{n})}{n}$.

real-analysis continuity real-numbers uniform-continuity piecewise-continuity

asked May 14, 2020 at 20:13

2 votes

1 answer

167 views

$f_{p} (x^{p^{e-1}})$ is an irreducible polynomial in $\mathbb{Q}[x]$ for every prime $p$ and every postive integer$e$.

abstract-algebra ring-theory prime-numbers factoring irreducible-polynomials

asked May 8, 2020 at 22:12

2 votes

0 answers

85 views

Riemann-Stieltjes integral.

real-analysis complex-analysis functional-analysis analysis

asked Dec 27, 2020 at 22:46

2 votes

1 answer

147 views

L. Gegenbauer's proof of Infinitude of Primes

number-theory prime-numbers algebraic-number-theory analytic-number-theory prime-gaps

asked Jun 5, 2020 at 9:31

2 votes

1 answer

112 views

Infinite Primes in Arithmetic progression $10n+9$

prime-numbers algebraic-number-theory analytic-number-theory prime-gaps coprime

asked May 29, 2020 at 8:51

2 votes

0 answers

171 views

There are more primes than square

number-theory elementary-number-theory prime-numbers algebraic-number-theory analytic-number-theory

asked Jun 15, 2020 at 21:36

1 vote

1 answer

133 views

Understanding Wittgenstein's proof of Infinitude of prime

number-theory prime-numbers analytic-number-theory prime-gaps

asked Jun 17, 2020 at 22:10

1 vote

1 answer

91 views

Infinitude of prime in the arithmetic progression$4n+1$

number-theory elementary-number-theory prime-numbers algebraic-number-theory analytic-number-theory

asked Jun 5, 2020 at 16:13

1 vote

1 answer

59 views

Odd prime divisor of $ 3x^2+y^2$ (where $x$, $y$ are relatively prime) is again of the same form

number-theory elementary-number-theory prime-numbers prime-factorization primality-test

asked Jun 7, 2020 at 8:32

1 vote

1 answer

192 views

$\mathbb{K}[x,y] /( xy - 1)$ has infinitely many prime ideals.

abstract-algebra commutative-algebra maximal-and-prime-ideals localization

asked May 8, 2020 at 21:31

1 vote

2 answers

46 views

Simplification of $ [(n+1) \alpha ]- [ n \alpha]$

elementary-number-theory ceiling-and-floor-functions

asked Jul 14, 2020 at 16:46

1 vote

0 answers

77 views

Showing the integral $=0$

real-analysis complex-analysis functional-analysis analysis

asked Dec 28, 2020 at 21:27

1 vote

3 answers

319 views

When does the series $\sum_{n=1}^\infty \frac{\ln\left(1+\frac{1}{n}\right)}{n^a}$ converge

sequences-and-series

asked May 24, 2017 at 2:59

1 vote

0 answers

60 views

proving $f$ and $g$ are constant [duplicate]

complex-analysis

asked Jun 19, 2017 at 19:52

1 vote

0 answers

48 views

Sequence $\{a_{n}\}$ satisfying certain properties

real-analysis sequences-and-series continuity cauchy-sequences

asked May 9, 2020 at 19:41

1 vote

1 answer

73 views

Find the values of $\theta$ for which the series is convergent

real-analysis sequences-and-series complex-analysis power-series divergent-series

asked May 10, 2020 at 6:01

1 vote

1 answer

65 views

to show this function does not belong to the uniform closure of A

real-analysis analysis

asked May 21, 2017 at 5:51

1 vote

1 answer

489 views

cardinality of any two bases are same

vector-spaces

asked May 24, 2017 at 6:09

Stack Exchange Network

current community

your communities

more stack exchange communities

69 Questions

Integration is zero implies $g$ is continuous

eliminate A,B and C

$\ell^2$ is not locally compact

All prime divisors of $\frac{x^m+1}{x+1}$ are of the form $2km+1$.

Understanding Sylvester' s $1871$ paper of primes in arithmetic progression of the forms $4n+3$ and $6n+5$

There exist infinitely many subsequences of $(f_{m})_{m \geq 1}$ which converge at every point of $E$

$ a^2 <10^{\sqrt{a}}$ for $a\geq 2$.

To check whether $ 10^{c} \frac{N}{e} > (N!)^{\frac{1}{N}} > \frac{N}{e}$

$\frac{1}{4} (a^2+ 3 b^2)$ is of the form $(c^2+ 3 d^2)$

Behmann's proof of Infinitude of primes.

Proving certain inequality related to Primes [closed]

Number of group homomorphism from $ \mathbb{Z}_{2} * \mathbb{Z}_{2} \to D_{8}$.

There exist a point $ c \in [a,b]$ such that $f(c)= \frac{f(x_{1})+f(x_{2})+...+f(x_{n})}{n}$.

$f_{p} (x^{p^{e-1}})$ is an irreducible polynomial in $\mathbb{Q}[x]$ for every prime $p$ and every postive integer$e$.

Riemann-Stieltjes integral.

L. Gegenbauer's proof of Infinitude of Primes

Infinite Primes in Arithmetic progression $10n+9$

There are more primes than square

Understanding Wittgenstein's proof of Infinitude of prime

Infinitude of prime in the arithmetic progression$4n+1$

Odd prime divisor of $ 3x^2+y^2$ (where $x$, $y$ are relatively prime) is again of the same form

$\mathbb{K}[x,y] /( xy - 1)$ has infinitely many prime ideals.

Simplification of $ [(n+1) \alpha ]- [ n \alpha]$

Showing the integral $=0$

When does the series $\sum_{n=1}^\infty \frac{\ln\left(1+\frac{1}{n}\right)}{n^a}$ converge

proving $f$ and $g$ are constant [duplicate]

Sequence $\{a_{n}\}$ satisfying certain properties

Find the values of $\theta$ for which the series is convergent

to show this function does not belong to the uniform closure of A

cardinality of any two bases are same