Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations
classification
🧮 math.NT
keywords
methoddiagonalequationshyperbolicalgebraicanalysisarithmeticasymptotic
read the original abstract
A method is described to sum multi-dimensional arithmetic functions subject to hyperbolic summation conditions, provided that asymptotic formulae in rectangular boxes are available. In combination with the circle method, the new method is a versatile tool to count rational points on algebraic varieties defined by multi-homogeneous diagonal equations.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.