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Height zeta functions II

Yu. Tschinkel



Abstract: Height zeta functions play a central role in the study of asymptotics of rational points of bounded height on algebraic varieties of low degree. Of particular interest are varieties closely related to linear algebraic groups. The corresponding height zeta functions can be analyzed via spectral techniques on the underlying adelic group. I will explain the main concepts and tools in this area.


© Steklov Math. Inst. of RAS, 2024