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Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations
- Publication Year :
- 2014
-
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.<br />Comment: 42 pages
- Subjects :
- Mathematics - Number Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1402.1122
- Document Type :
- Working Paper