Requesting a referee's report on my paper from a math journal
No, you do not have this right. When this first happened to me (more precisely, to my student), I also was outraged and demanded a report. They replied that this is a journal policy: they decide when to send a report to an author and when not to. Gradually I understood that this is a right of a journal, to establish any policy they find appropriate. At the present time many journals even do not send all papers to referees. Many papers are rejected without refereeing. They show the paper to one or several experts for a "quick opinion". If this quick opinion is negative, (or not sufficiently positive) they just reject the paper without having any formal report. Of course this has a simple explanation: some journals, especially those which are considered highly rated, are really overwhelmed with papers, and it is difficult for them to find a referee for each. As a referee, I also receive too many papers some of which I do not want to read. So sometimes I advise the journal to reject just after a brief look, without writing a report. The time each of us can spend on refereeing is limited.
And in general, what is a "right"? It is a principle recognized by an overwhelming majority in some community. Using this definition, I am afraid that nowadays, the authors do not have a right to receive a report on each paper that they submit. 30 years ago I thought that there exists such a right. Probably this changed.
Since this hasn't been mentioned, I should point out that at many journals, the referee is allowed to indicate whether they are willing for their report to be shared with the author. The editor is then, I feel, obligated to follow the referee's desire.
To my knowledge, this does not happen with any journal for which I'm an editor. If rejected without a ref, the author is told the editors do not feel it is suitable for our journal, often with a recommendation to try `lower' - said more politely.
Any one having this problem, do let us know the journal.