ON SOME PARTITIONS WHERE EVEN PARTS DO NOT REPEAT
نویسندگان
چکیده
منابع مشابه
Arithmetic properties of partitions with even parts distinct
In this work, we consider the function ped(n), the number of partitions of an integer n wherein the even parts are distinct (and the odd parts are unrestricted). Our goal is to consider this function from an arithmetical point of view in the spirit of Ramanujan’s congruences for the unrestricted partition function p(n). We prove a number of results for ped(n) including the following: For all n≥...
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Bousquet-Mélou and Eriksson showed that the number of partitions of n into distinct parts whose alternating sum is k is equal to the number of partitions of n into k odd parts, which is a refinement of a well-known result by Euler. We give a different graphical interpretation of the bijection by Sylvester on partitions into distinct parts and partitions into odd parts, and show that the bijecti...
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2009
ISSN: 2391-4661
DOI: 10.1515/dema-2009-0205