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This paper shows that entropy is a completer metric similarity invariant for the continuous ergodic group automorphisms of the two-dimensional torus.
In this book, the authors establish global Rankin Selberg integrals which determine the standard [italic capital]L function for the group [italic capitals]GL[subscript italic]r x [italic capital]Gʹ, where [italic capital]Gʹ is an isometry group of a nondegenerate symmetric form.…
Starting with Green's functions on adele points of GL(2) GL(2) considered over a totally real number field, we elaborate an explicit version of the relative trace formula, whose spectral side encodes the informaton on period integrals of cuspidal waveforms along a maximal split …