2007/11/21 by Vladimir Shevelev, Shevelev, Vladimir
Mathematics · #05E05 #26D05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:05E05 #msc:26D05
paper · pdf · doi:10.48550/arxiv.0711.3420
11 pages
arxiv created 2007/11/21 · openalex publication_date 2007/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A polynomial x3+px2+qx+r with the condition pr^(1/3)+ 3r^(2/3)+q=0 we call a Ramanujan cubic polynomial (RCP). We study different interest properties of RCP, in particular, an important role of a parameter pq/r. We prove some new beautiful identities containing sums of 6 cubic radicals of values of trigonometrical functions as well.