Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6

WOS: 000395321000011Using modular forms, we determine formulas for the number of representations of a positive integer by diagonal octonary quadratic forms with coefficients 1, 2, 3 or 6.Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Discovery Grant from the Natural Sciences and Engineering Research Council of CanadaNatural Sciences and Engineering Research Council of Canada [RGPIN-418029-2013]The research was carried out during the first author's visit to Recep Tayyip Erdogan University, Rize, Turkey. She would like to thank Recep Tayyip Erdogan University for the hospitality during her stay. She thanks the Scientific and Technological Research Council of Turkey (TUBITAK)for their partial financial support. the research of the first author was also partially supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (RGPIN-418029-2013)