Bilgici G.Bilgici, G2023-05-092023-05-092013-04-012013.01.011382-4090https://hdl.handle.net/20.500.12597/12615Let M(r,m,n) be the number of unrestricted partitions of n with crank congruent to r modulo m. Here the relations between the numbers M(r,13,13n+k) when 0≤r<13 are given. All of the results are proved by elementary methods. © 2012 Springer Science+Business Media, LLC.falseCrank | Partition | RankArticle10.1007/s11139-012-9430-610.1007/s11139-012-9430-62-s2.0-84875369231WOS:00031636530000640342430