@article{ec3f1bc80e84462783aad507f68edb74,
title = "The Collector's Brotherhood Problem using the Newman-Shepp symbolic method",
abstract = "Further computations are made on the traditional coupon collector's problem when the collector shares his harvest with his younger brothers. When the book of the p-th brother of the collector is completed, the books of the younger brothers have certain numbers of empty spots. On the average, how many? Several answers can be brought to that question.",
keywords = "Coupon collector's problem, Hyperharmonic numbers, Newman-Shepp symbolic method, Surjection calculus",
author = "Dominique Foata and Doron Zeilberger",
note = "Funding Information: Presented by J. Kung. Received September 14, 2001; accepted in final form March 13, 2003. 2000 Mathematics Subject Classification: 05A15, 05E05, 60C05. Key words and phrases: Coupon collector{\textquoteright}s problem, Surjection calculus, Newman-Shepp symbolic method, Hyperharmonic numbers. First author supported in part by the NSF, as a consultant on Zeilberger{\textquoteright}s grant. Second author supported in part by the NSF.",
year = "2003",
doi = "https://doi.org/10.1007/s00012-003-1815-3",
language = "American English",
volume = "49",
pages = "387--395",
journal = "Algebra Universalis",
issn = "0002-5240",
publisher = "Birkhauser Verlag Basel",
number = "4",
}