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Summation of Singular Series Corresponding to Representations of Numbers by Some Quadratic Forms in Twelve Variables
Authors:Lomadze  G
Institution:(1) Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi, 380043, Georgia
Abstract:Formulas for calculating the sum of singular series corresponding to the number of representations of integers by some quadratic forms in 12 variables with integral coefficient are derived.
Keywords:Quadratic form  Gaussian sum  Ramanujan's sum  singular series  Riemann zeta-function" target="_blank">gif" alt="zeta" align="MIDDLE" BORDER="0">-function
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