Euler’s Partition Theorem

Karol Pąk

doi:10.1515/forma-2015-0009

.blurhash-client-img { display: none !important; }

Euler’s Partition Theorem

Formalized Mathematics

Volume 23 (2015): Issue 2 (June 2015)

By: Karol Pąk

Open Access

|Aug 2015

[1] George E. Andrews and Kimmo Eriksson. Integer Partitions. ISBN 9780521600903.
Search in Google Scholar
[2] Grzegorz Bancerek. Cardinal numbers., 1(2):377-382, 1990.
Search in Google Scholar
[3] Grzegorz Bancerek. König’s theorem., 1(3):589-593, 1990.
Search in Google Scholar
[4] Grzegorz Bancerek. Countable sets and Hessenberg’s theorem., 2(1):65-69, 1991.
Search in Google Scholar
[5] Grzegorz Bancerek. The fundamental properties of natural numbers., 1(1):41-46, 1990.
Search in Google Scholar
[6] Grzegorz Bancerek. The ordinal numbers., 1(1):91-96, 1990.
Search in Google Scholar
[7] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1(1):107-114, 1990.
Search in Google Scholar
[8] Czesław Bylinski. Finite sequences and tuples of elements of a non-empty sets., 1(3):529-536, 1990.
Search in Google Scholar
[9] Czesław Bylinski. Functions and their basic properties., 1(1): 55-65, 1990.
Search in Google Scholar
[10] Czesław Bylinski. Functions from a set to a set., 1(1):153-164, 1990.
Search in Google Scholar
[11] Czesław Bylinski. Partial functions., 1(2):357-367, 1990.
Search in Google Scholar
[12] Czesław Bylinski. The sum and product of finite sequences of real numbers., 1(4):661-668, 1990.
Search in Google Scholar
[13] Czesław Bylinski. Some basic properties of sets., 1(1):47-53, 1990.
Search in Google Scholar
[14] Marco B. Caminati. Preliminaries to classical first order model theory., 19(3):155-167, 2011. doi:10.2478/v10037-011-0025-2.
Open DOI Search in Google Scholar
[15] Marco B. Caminati. First order languages: Further syntax and semantics., 19(3):179-192, 2011. doi:10.2478/v10037-011-0027-0.
Open DOI Search in Google Scholar
[16] Agata Darmochwał. Finite sets., 1(1):165-167, 1990.
Search in Google Scholar
[17] Magdalena Jastrzȩbska and Adam Grabowski. Some properties of Fibonacci numbers., 12(3):307-313, 2004.
Search in Google Scholar
[18] Rafał Kwiatek. Factorial and Newton coefficients., 1(5):887-890, 1990.
Search in Google Scholar
[19] Karol Pak. Flexary operations., 23(2):81-92, 2015. doi:10.1515 /forma-2015-0008.
Open DOI Search in Google Scholar
[20] Karol Pak. The Nagata-Smirnov theorem. Part II., 12(3):385-389, 2004.
Search in Google Scholar
[21] Karol Pak. Stirling numbers of the second kind., 13(2):337-345, 2005.
Search in Google Scholar
[22] Piotr Rudnicki and Andrzej Trybulec. Abian’s fixed point theorem., 6(3):335-338, 1997.
Search in Google Scholar
[23] Andrzej Trybulec. Binary operations applied to functions., 1 (2):329-334, 1990.
Search in Google Scholar
[24] Michał J. Trybulec. Integers., 1(3):501-505, 1990.
Search in Google Scholar
[25] Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences., 1(3):569-573, 1990.
Search in Google Scholar
[26] Zinaida Trybulec. Properties of subsets., 1(1):67-71, 1990.
Search in Google Scholar
[27] Freek Wiedijk. Formalizing 100 theorems.
Search in Google Scholar
[28] Herbert S. Wilf. Lectures on integer partitions.
Search in Google Scholar
[29] Edmund Woronowicz. Relations and their basic properties., 1 (1):73-83, 1990.
Search in Google Scholar
[30] Bo Zhang and Yatsuka Nakamura. The definition of finite sequences and matrices of probability, and addition of matrices of real elements., 14(3): 101-108, 2006. doi:10.2478/v10037-006-0012-1.
Open DOI Search in Google Scholar