Analytic Functions of Several Complex Variables: Lecture Delivered at the Institute for Advanced Study, 1948-1949 |
Contents
The Quotient Field of the Ring of Power Series | 8 |
Chapter X Automorphic Functions | 9 |
Two Lemmas | 21 |
11 other sections not shown
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Common terms and phrases
2n by 2n 2n matrix 2n strongly independent Abelian functions algebraic function field analytic mappings automorphic functions B₂ bilinear form bounded domain C₁ C₂ coefficients common divisor complex dimension complex numbers complex variables consider constant converge in C(a coprime coset D₂ diagonal direct continuations discontinuous group entire function equation equivalence classes everywhere coprime exists field of Abelian finite number function f function regular functions meromorphic fundamental region Gaussian integers group of analytic h₂ Hence Hermitian identically zero Jacobian functions lemma linear mapping linear transformations meromorphic function modulo n-circle n-rowed column vectors neighborhood non-degenerate function non-singular non-zero absolute value P₂ period matrix polynomial positive integer power series Problem proof prove quotient replaced space strongly independent periods subgroup Suppose symmetric t₁ t₂ Theorem 12 Theorem 9 theta functions topological unimodular unimodular matrix unit unit-circle upper half-plane z₁