Parity of 4-regular and 8-regular partition functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493119" target="_blank" >RIV/00216208:11320/24:10493119 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=TTVZyUMD2_" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=TTVZyUMD2_</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11139-023-00784-4" target="_blank" >10.1007/s11139-023-00784-4</a>
Alternative languages
Result language
angličtina
Original language name
Parity of 4-regular and 8-regular partition functions
Original language description
We give a complete characterisation of the parity of b8(n), the number of 8-regular partitions of n. Namely, we prove that b8(n) is odd precisely when 24n + 7 has the form p4a+1m2 with p prime and p m.
Czech name
—
Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/GM21-00420M" target="_blank" >GM21-00420M: Universal Quadratic Forms and Class Numbers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Ramanujan Journal
ISSN
1382-4090
e-ISSN
1572-9303
Volume of the periodical
63
Issue of the periodical within the volume
October
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
8
Pages from-to
715-722
UT code for WoS article
001087984800002
EID of the result in the Scopus database
2-s2.0-85174184920