## Collected Papers II: 1967–1977In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement for his "important and extensive work on arithmetical geometry and automorphic forms." His seminal work has resulted in the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 5 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present. |

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### Contents

II | 171 |

III | 30 |

IV | 132 |

V | 141 |

VI | 231 |

VII | 237 |

VIII | 273 |

IX | 299 |

XXI | 532 |

XXII | 574 |

XXIII | 596 |

XXIV | 633 |

XXV | 653 |

XXVI | 683 |

XXIX | 708 |

XXX | 716 |

X | 378 |

XII | 400 |

XIV | 406 |

XVI | 436 |

XVII | 449 |

XVIII | 459 |

XX | 471 |

XXXII | 740 |

XXXIV | 762 |

XXXV | 784 |

XXXVI | 790 |

XXXVII | 813 |

XXXVIII | 825 |

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### Common terms and phrases

abelian extension abelian varieties algebraic number field archimedean prime arithmetic assertion assume automorphic functions biregular isomorphism canonical system character class field class number CM-field CM-type completes the proof complex multiplication conductor congruence subgroup consider contained corresponding cusp form denote discontinuous groups divisor easily elliptic curve Endo(A endomorphism equivalent exists an element extension of F F-linear isomorphism field of moduli find an element fixed point Frobenius automorphisms Galois extension Grössen-character Hecke operators hence holomorphic ideal in F identity map integral ideal involution isogeny isomorphism Lemma Let f Let Q linearly disjoint Main Theorem Math matrix maximal order modular forms modulo Moreover morphism notation obtain PEL-structure positive integer prime factor prime ideal Prop Proposition prove quadratic field quaternion algebra quotient ramified rational over Q rational prime re-lattice representation resp Shimura shows subfield subgroup Suppose unramified vector space zeta functions