This is the 16634th most frequent Russian word.
сербского
"Serbian."
In this sentence, 'сербского' is used as the genitive case of the adjective 'сербский', describing the language (языка) being studied.
Я изучаю сербского языка.
I am studying the Serbian language.
Here, 'сербского' is in the genitive case, agreeing with 'писателя' (writer) to indicate possession or origin.
Это книга сербского писателя.
This is a book by a Serbian writer.
In this example, 'сербского' is an adjective in the genitive case, associated with 'искусства' (art), denoting the origin of the art.