## Algebraic Number Theory and Representations: 1965Dmitriĭ Konstantinovich Faddéev |

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### Contents

Skubenko B F On the distribution of integral matrices and the evalua | 129 |

Tpyau MaTeMaTimecKoro HHCTHTyTa mm B A OreKiOBa t LXXX 1965 | 227 |

Andrianov A N and Fomenko O M On mean squares in progressions | 5 |

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A-module algebra annulus arbitrary arcwise connected ball boundary cellularly imbedded cellularly separated Chapter closure coefficients components compute Consequently consider construct contained continuous mapping Corollary cube cyclic cyclic group cylindrically imbedded Dedekind ring defining relations denote disjoint disk domain elements endpoints equal equation Euclidean space Example exists a homeomorphism exists an isotopy field finite number follows formula fractional free group function fundamental group group G Hence homeomorphism homotopic identity mapping inequality integral interior intersection isomorphic isotopy F l)-sphere lattice Lemma line segment linear manifold Math matrix module morphism multiplication n-cell n-sphere neighborhood null-homotopic o-lattice o-ring obtain path f polygonal line polyhedral polyhedron polynomial problem proof Proposition proved ring of multipliers satisfies the conditions Schoenflies theorem semilinear isotopy sequence simple arc simple closed curve simplex Sn_1 space stationary sufficient Suppose taking Theorem 2.1 triangulation trivial vertex zero-dimensional compactum