achavanakhash wrote: > >Hi gang, > >I have numerous conjectures raging around in my brain these >days, but I am greatly lacking in the background needed to >even attempt to prove them. I am interested in whatever is >combinatorially known about sums of combinations, such as >0Cn + 1Cn + ... + nCn = 2**n, but of course everyone knows > that one. Mine tend to involve situations modulo prime p >where p is an odd prime. I am generally interested in where >I might information about these things,l or be providedl with >information about these things. > >So please provided me with specific propositions, or books, > or whatever.
Based on how you've described your background, I highly recommend working diligently through the following book:
Intermediate Counting & Probability by David Patrick