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2 votes
0 answers
836 views

Polynomials for the indicator function

The (one-variable) indicator function (or characteristic function) is defined as $f_{t^*}:\mathbb{Z}_q\to \mathbb{Z}_q$ satisfying that $f_{t^*}(t)=1$ if $t=t^*$ and $f_{t^*}(t)=0$, otherwise. (Here $...
Huy Le's user avatar
  • 31
1 vote
0 answers
73 views

On a type of equations that involve certain multiplicative functions and polynomials, in relation to their number of solutions

Past weekend I was interested in the sequence A058891 from the On-Line Encyclopedia of Integer Sequences, from this, inspired by the equation due to Benoit Cloitre (2002) that shows the comments, I ...
user142929's user avatar
7 votes
1 answer
1k views

Menon’s identity

I also put this question in stackexchange, but remained unanswered. https://math.stackexchange.com/questions/506996/menons-identity Let $G$ be a group of order $n$. Consider an action of $U_n$, the ...
zacarias's user avatar
  • 801