Analytic Functions of Several Complex Variables: Lectures Delivered at the Institute for Advanced Study, 1948-1949 |
Contents
4 The Quotient Field of the Ring of Power Series | 8 |
Periodic Functions | 24 |
Difference Equations | 49 |
12 other sections not shown
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Common terms and phrases
2n by 2n 2n matrix 2n strongly independent Abelian functions absolute value algebraic function field analytic mappings automorphic forms automorphic functions B₂ bounded domain C₁ C₂ Cartan closed subset coefficients common divisor compact analytic manifold complex dimension complex numbers complex variables condition consider constant converge coprime d₂ direct continuations discontinuous group entire function equation equivalence class exists field of Abelian function f function regular fundamental region G₁ Gaussian integers group of analytic Hence Hermitian identically zero isobaric polynomial Jacobian functions lemma linear mapping linear transformations meromorphic function modular forms modular function n-circle neighborhood non-degenerate function non-singular non-zero period matrix positive integer positive number power series proof proved quotient replaced right cosets roup satisfy space strongly independent periods Suppose t₁ T₂ Theorem 12 theta functions topological group unimodular unimodular matrix unit unit-circle upper half-plane z₁