Distributions of parity differences and biases in partitions into distinct parts

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508577" target="_blank" >RIV/00216208:11320/25:10508577 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=yNnzT5FKIu" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=yNnzT5FKIu</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejc.2025.104157" target="_blank" >10.1016/j.ejc.2025.104157</a>

Result language
angličtina
Original language name
Distributions of parity differences and biases in partitions into distinct parts
Original language description
For a partition ? fH n, we let pd(?), the parity difference of ?, be the number of odd parts of ? minus the number of even parts of ?. We prove for c0 E R an asymptotic expansion for the number of partitions of n into distinct parts with normalised parity difference n-1/4 pd(?) greater than c0 as n -> co. As a corollary, we find the distribution of the parity differences and parity biases for partitions of n into distinct parts. We also establish analogous results for generalised parity differences modulo N. (c) 2025 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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