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6 votes
1 answer
166 views

Integration is zero implies $g$ is continuous

5 votes
1 answer
154 views

eliminate A,B and C

5 votes
2 answers
1k views

$\ell^2$ is not locally compact

4 votes
2 answers
154 views

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

4 votes
1 answer
121 views

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

4 votes
1 answer
85 views

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

4 votes
2 answers
108 views

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

3 votes
2 answers
109 views

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

3 votes
2 answers
81 views

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

3 votes
1 answer
104 views

Behmann's proof of Infinitude of primes.

3 votes
0 answers
76 views

Proving certain inequality related to Primes [closed]

3 votes
1 answer
104 views

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

2 votes
0 answers
44 views

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

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$e$.

2 votes
0 answers
85 views

Riemann-Stieltjes integral.

2 votes
1 answer
147 views

L. Gegenbauer's proof of Infinitude of Primes

2 votes
1 answer
112 views

Infinite Primes in Arithmetic progression $10n+9$

2 votes
0 answers
171 views

There are more primes than square

1 vote
1 answer
133 views

Understanding Wittgenstein's proof of Infinitude of prime

1 vote
1 answer
91 views

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

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

1 vote
1 answer
192 views

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

1 vote
2 answers
46 views

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

1 vote
0 answers
77 views

Showing the integral $=0$

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

1 vote
0 answers
60 views

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

1 vote
0 answers
48 views

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

1 vote
1 answer
73 views

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

1 vote
1 answer
65 views

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

1 vote
1 answer
489 views

cardinality of any two bases are same