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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 $...
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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 ...