Holomorphic Functions
Mostrando 13-16 de 16 artigos, teses e dissertações.
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13. CLASSES OF HOLOMORPHIC FUNCTIONS OF SEVERAL VARIABLES IN CIRCULAR DOMAINS*
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14. TWO KINDS OF THETA CONSTANTS AND PERIOD RELATIONS ON A RIEMANN SURFACE
It was recognized in Riemann's work more than one hundred years ago and proved recently by Rauch (cf. Bull. Am. Math. Soc., 71, 1-39 (1965) that the g(g + 1)/2 unnormalized periods of the normal differentials of first kind on a compact Riemann surface S of genus g ≥ 2 with respect to a canonical homology basis are holomorphic functions of 3g - 3 complex va
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15. L and ε functions for GSp(4) × GL(2)
The construction of L functions for automorphic cuspidal representations of GSp(4, A) × GL(2, A) with a Whittaker model has been given by Novodvorsky [Novodvorsky, M. (1979) Proc. Symp. Pure Math. 33 (2), 87-95]. In this paper, we prove that this L function has nontrivial poles if and only if the representation of GSp(4, A) is a lifting from split O4. We al
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16. Zeta functions and Eisenstein series on classical groups
We construct an Euler product from the Hecke eigenvalues of an automorphic form on a classical group and prove its analytic continuation to the whole complex plane when the group is a unitary group over a CM field and the eigenform is holomorphic. We also prove analytic continuation of an Eisenstein series on another unitary group, containing the group
The National Academy of Sciences of the USA.