(2) Page 137, paragraph after (1.4), “(Because of our normalization

This generalization, performed for p-ad- missible primes, is used by the author in [L2] to prove the Birch and Swinnerton-Dyer conjecture for modular elliptic curves E with every-

Abstract We describe algorithms to compute elliptic functions and their rela- tives (Jacobi theta functions, modular forms, elliptic integrals, and the arithmetic- geometric

Note that in general, non-isomorphic algebraic varieties may give isomorphic complex manifolds, and some complex manifold may fail to have an algebraic structure.. The situation

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In section 5, we make use of the Rankin-Selberg integral representation derived by Im [I] to prove the algebraicity of the distribution, and we can verify this via the

The development of the theory of modular forms as holomorphic func- tions in the Poincaré upper half plane has shown that many of problems related to modular forms can be proved if

The induction step, in the case of binary theta functions, is provided by Theorem 4.7 of Part I, which in turn is based on my joint work.. with Kudla on

HIRZEBRUCH: The ring of Hilbert modular forms for real quadratic number fields of small discriminant, Lecture Notes in Math.. PRESTEL: Die elliptische Fixpunte