Can I add non-cited reference to bibliography? I want to add non-cited references to bibliography for two reasons.


Sometimes, it is not clear whether I referred to it or not. Clearly, not only citing a statement is a citation, but also citing an idea is a citation. But if I didn't cite the ideas and if another idea comes across my mind, sometimes I can not sure my idea is inspired by the references or not. In that case, I want to add the references to bibliography.
There are some references I didn't cite but it would be useful for the readers.


May I feel free to add non-cited reference to bibliography?

Addition: Maybe I had to clarify I am in Mathematics field, and many authors add the references to bibliography as a "reference", not as a "cited writing". If I cited anything, then I will definitely notify the readers the citation specifically. However, is it not allowed to add some papers or books to bibliography that I just referred to?
If an idea or a statement is novel and it's appearing for the first time there is nothing to cite. Anything else needs to be cited. And don't add any citations in the bibliography which you are not citing in the text. Otherwise the reader will wonder why you didn't cite it.