I am a beginning mathematician and I need some publishing advice. I have some results obtained during my PhD research and I was wondering about the best way to publish them.
My initial intuition was to write one long article containing all my results (because for me it is all part of the same research). On the other hand, a more experienced mathematician suggested to publish two medium articles, with the following rationalizations: a short article is more likely to be read/published, the results can be presented independently and as a beginning mathematician it is better that I have a reasonable number of short articles instead of very few long articles (this may sound a bit cynical).
This sounded reasonable enough, but when I wrote the two articles, I found out that a quit large part which I introduce the setting is practically the same in both articles (the results and main theorems are obviously different).
I am looking for advice – how reasonable is it for a mathematician to publish two articles which has a very similar beginning and themes? (I should stress – the results are different – I am not trying to publish the same result twice!)