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- W3082052022 abstract "Let (Gamma =SL(2,mathbb Z)) act in the plane by linear changes of coordinates. The resulting spectral theory of the automorphic Euler operator, which refines the theory of modular forms of non-holomorphic type, has definite advantages. One of these lies in the enrichment gained by interpreting automorphic distributions as symbols in the Weyl pseudodifferential calculus: the formula making the sharp composition of modular distributions explicit is given in terms of L-function theory. On the other hand, starting from distributions of arithmetic interest for symbols, we obtain operators the structure of which expresses itself nicely in terms of congruence arithmetic, providing a possible new approach to the Riemann hypothesis." @default.
- W3082052022 created "2020-09-08" @default.
- W3082052022 creator A5065915283 @default.
- W3082052022 date "2020-01-01" @default.
- W3082052022 modified "2023-09-27" @default.
- W3082052022 title "Making the Case for Pseudodifferential Arithmetic" @default.
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- W3082052022 doi "https://doi.org/10.1007/978-3-030-44651-2_26" @default.
- W3082052022 hasPublicationYear "2020" @default.
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