Titlebook: Automorphic Forms, Representation Theory and Arithmetic; Papers presented at Gelbart Harder Iwasawa,Jacquet Katz Piatetski-Shap Conference

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Derivatives of L-Series at s = 0,ned, especially for certain types of characters [6; II, III, IV]. It is appropriate to present a paper on this subject here since it was at the Tata Institute that the complex quadratic case was treated in the lectures of Siegel [4] and later work of Ramachandra [3]. It has become clear in recent ye

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,War and Controversy: 1940–1945,essarily totally real) algebraic number field. At the time of the Bombay Colloquium (1979), H. M. Stark orally communicated to the author that he has obtained such a result for non-real cubic fields. His oral communication was an initial impetus to the present work. The author wishes to express his gratitude to Stark.

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Sabine Bollig,Sabrina Göbel,Angelika Sichmas of Eisenstein series, and L. is the continuous part of the spectrum, given by integrals of Eisenstein series. If . is a function of compact support or of sufficiently rapid decay on G, then convolution with . defines an endomorphism T. of L.(.G), and the kernel function ..

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A Remark on Zeta Functions of Algebraic Number Fields,essarily totally real) algebraic number field. At the time of the Bombay Colloquium (1979), H. M. Stark orally communicated to the author that he has obtained such a result for non-real cubic fields. His oral communication was an initial impetus to the present work. The author wishes to express his gratitude to Stark.

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