2011/05/11 by Armen Bagdasaryan, Bagdasaryan, Armen
Mathematics · Physics and Astronomy · #06A99 #11B68 #11M06 #26A03 #40A25 #40A99 #40C99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #math-ph #math.CA #math.MP #math.NT #msc:06A99 #msc:11B68 #msc:11M06 #msc:26A03 #msc:40A25 #msc:40A99 #msc:40C99
paper · pdf · doi:10.48550/arxiv.1105.2787
32 pages, amsart style; misprints corrected; in section 4, added propositions 4.14, 4.32 and remark 4.16 concerning Bernoulli numbers and remark 4.31; in section 6, added a paragraph on factorial function; some other minor additions throughout the text
arxiv created 2011/10/25 · arxiv updated 2011/10/26
A new general and unified method of summation, which is both regular and consistent, is invented. It is based on the idea concerning a way of integers reordering. The resulting theory includes a number of explicit and closed form summation formulas, and assigns limits to certain unbounded or oscillating functions. Some problems and future lines of research are briefly discussed.