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词条 Shimura's reciprocity law
释义

  1. References

In mathematics, Shimura's reciprocity law, introduced by {{harvs|txt|last=Shimura|authorlink=Goro Shimura|year=1971}}, describes the action of ideles of imaginary quadratic fields on the values of modular functions at singular moduli. It forms a part of the Kronecker Jugendtraum, explicit class field theory for such fields. There are also higher-dimensional generalizations.

References

  • {{Citation | last1=Shimura | first1=Goro | authorlink=Goro Shimura | title=Introduction to the arithmetic theory of automorphic functions | publisher=Iwanami Shoten | location=Tokyo | series=Publications of the Mathematical Society of Japan | year=1971 | volume=11 | zbl=0221.10029 }}
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1 : Theorems in number theory

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