Mohsen Shahriari's user avatar
Mohsen Shahriari's user avatar
Mohsen Shahriari's user avatar
Mohsen Shahriari
  • Member for 9 years
  • Last seen this week
  • Tehran, Iran
20 votes
4 answers
1k views

Does $f(0)=0$ and $\left|f^\prime(x)\right|\leq\left|f(x)\right|$ imply $f(x)=0$?

13 votes
3 answers
638 views

Solving the Functional Equation $ f \big( x + y f ( x ) \big) = f ( x ) f ( y ) $

12 votes
2 answers
2k views

Solving $z^z=z$ in Complex Numbers

11 votes
3 answers
404 views

If $B(x+y)-B(x)-B(y)\in\mathbb Z$ can we add an integer function to $B$ to make it additive?

10 votes
2 answers
874 views

Is the sequence defined by the recurrence $ a _ { n + 2 } = \frac 1 { a _ { n + 1 } } + \frac 1 { a _ n } $ convergent? [duplicate]

9 votes
1 answer
153 views

Does $\forall v ( T_1 v = 0 \lor T_2 v = 0 \lor \dots \lor T_n v =0 )$ imply $T_1 = 0 \lor T_2 = 0 \lor \dots \lor T_n = 0$?

8 votes
1 answer
335 views

Functional equation $f(x+y)-f(x)-f(y)=\alpha\big(f(xy)-f(x)f(y)\big)$ is solvable without regularity conditions

7 votes
1 answer
140 views

Extending a Model of $ T + \operatorname {Con} ( T ) $ to a model of $ T + \neg \operatorname {Con} ( T ) $

6 votes
1 answer
1k views

d'Alembert functional equation: $f(x+y)+f(x-y)=2f(x)f(y)$

4 votes
1 answer
165 views

What does Morley rank of a quotient group mean?

4 votes
1 answer
113 views

A polynomial with unique root in every $ \mathbb Z _ n $

3 votes
1 answer
227 views

Cauchy's Functional Equation $ f ( x + y ) = f ( x ) + f ( y ) $ with the Additional Assumption $ f \left( x ^ { n + 1 } \right) = x ^ n f ( x ) $

3 votes
1 answer
91 views

Density of CLT functions for ergodic dynamical systems

2 votes
1 answer
109 views

The functional equation $ f ^ 4 \left( x f ( x ) ^ 2 + y f ( x ) - x \right) = x ^ 3 + x f ^ 2 ( y ) - x $

1 vote
1 answer
127 views

Functions with $ f \bigg( p \Big( f \big( p ( x ) \big) \Big) \bigg) = p \bigg( f \Big( p \big( f ( x ) \big) \Big) \bigg) $ for all polynomials $ p $

1 vote
1 answer
124 views

The functional equation $ f \left( x ^ 2 y + f ( y ) \right) = x ^ 2 f ( y ) + f \big( f ( y ) \big) $

1 vote
1 answer
156 views

Solving the functional equation $ f \left( x ^ 2 + f ( y ) \right) = f \big( f ( x ) \big) + f \big( f ( y ) \big) + x ^ 2 f ( y ) + y ^ 2 f ( x ) $

1 vote
0 answers
31 views

minimum size of a constructing set

1 vote
3 answers
206 views

If a certain kind of object exists and is unique, can we prove its existence and uniqueness without axiom of choice?

0 votes
1 answer
99 views

Existence of a continuous function $ \theta $ with $ f ( x ) = | f ( x ) | \exp \big( i \theta ( x ) \big) $

0 votes
0 answers
159 views

Common Roots of Several Multivariate Polynomials with Integer Coefficients with an Additional Property: Their GCD is Linear when Some Variables Fixed