I am new to latex. I have all my references contains in bibfile.bib. However, I have formatted my document to output separate bibliographies after each section. In my main tex file I have:

\usepackage[section]{chapterbib}
\usepackage{apacite}

\include{section1}
\include{section2}
\include{section3}

In each section#.tex file, at the end, I have:

\bibliographystyle{apacite}
\bibliography{bibfile}

I am not using biblatex or natbib or anything else. Everything works perfectly, except each reference section starts like this:

I would like to get rid of these headers entirely, and perhaps use a \subsection so that the reference section is numbered properly. Or at least, get rid of two of the three "Reference" headings...

I see several similar threads, but they are using different packages and I can't seem to figure this out. I know I should be able to remap the Reference header, but I can't find a solution that works.

Note: \renewcommand{\refname}{} doesn't work. Not only does it leave a big space in place of the reference header, it doesn't get rid of the last *References

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Please post a short, complete example code that reproduces the problem. Without that it will be difficult for anyone to help you. –  Ian Thompson Jan 31 '13 at 10:18
Each \bibliography command prints such a title. Have a look at the following FAQ answer about multiple bibliographies –  Andrew Swann Jan 31 '13 at 10:32
@AndrewSwann hmm i think that's for using multiple bibliography files, no? I only have one .bib file –  Jeff Jan 31 '13 at 10:38
As Ian Thompson, said we need more details of what you are doing, to avoiding guessing too much. Providing a minimal working example (MWE) would be best. The FAQ I provided, links to another question about bibliographies per chapter, which also applies to other sectional units. –  Andrew Swann Jan 31 '13 at 10:42
@AndrewSwann I have already edited my question, but please let me know if this is not sufficient –  Jeff Jan 31 '13 at 10:44