2014/05/31 by M. L. Glasser, Michael S. Milgram, Michael Milgram +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Applied mathematics #Binary quadratic form #Combinatorics #Gauss #Gauss sum #Geometry #Mathematical functions and polynomials #Mathematics #Pure mathematics #Quadratic Gauss sum #Quadratic equation #Quadratic function #Series (stratigraphy) #math.CA #math.NT #msc:11L03 #msc:11T23 #msc:11T24 #msc:30B50 #msc:42A32 #msc:65B10
paper · pdf · open access · doi:10.1080/23311835.2015.1021187
published in Cogent Mathematics 2(1), 1021187 (Taylor & Francis) · Minor revisions and corrections
arxiv created 2014/10/23 · openalex publication_date 2015/03/24 · openalex created_date 2016/06/24 · arxiv updated 2018/10/23 · openalex updated_date 2026/08/05
A number of new terminating series involving sin(n2/k) and cos(n2/k) are presented and connected to Gauss quadratic sums. Several new closed forms of generic Gauss quadratic sums are obtained and previously known results are generalized.