{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,7]],"date-time":"2024-10-07T04:16:59Z","timestamp":1728274619253},"reference-count":0,"publisher":"Combinatorial Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2024,9,30]]},"abstract":"<jats:p>Let  p &gt; 2  be prime and  r \u2208 { 1 , 2 , \u2026 , p \u2212 1 } . Denote by  c p ( n )  the number of  p -regular partitions of  n  in which parts can occur not more than three times. We prove the following: If  8 r + 1  is a quadratic non-residue modulo  p ,  c p ( p n + r ) \u2261 0 ( mod 2 )  for all nonnegative integers  n .<\/jats:p>","DOI":"10.61091\/ars160-01","type":"journal-article","created":{"date-parts":[[2024,10,6]],"date-time":"2024-10-06T21:36:01Z","timestamp":1728250561000},"page":"3-5","source":"Crossref","is-referenced-by-count":0,"title":["A Parity Result for Some  p -Regular Partitions"],"prefix":"10.61091","volume":"160","author":[{"name":"School of Mathematics University of the Witwatersrand Wits 2050, Johannesburg, South Africa","sequence":"first","affiliation":[]},{"given":"Darlison","family":"Nyirenda","sequence":"first","affiliation":[]}],"member":"39747","published-online":{"date-parts":[[2024,9,30]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2024,10,6]],"date-time":"2024-10-06T21:36:03Z","timestamp":1728250563000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-160\/a-parity-result-for-some-p-regular-partitions\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9,30]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,9,30]]},"published-print":{"date-parts":[[2024,9,30]]}},"URL":"https:\/\/doi.org\/10.61091\/ars160-01","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"value":"0381-7032","type":"print"},{"value":"2817-5204","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,9,30]]}}}