Science/Engineering Elementary Dirichlet Series and Modular Forms (0387724737)

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Publisher: Springer

Language: English

ISBN: 0387724737

Paperback: 152 pages

Data: Sep 2007

Format: PDF

Description: The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field, and various problems on elliptic modular forms. As to the values of Dirichlet L-functions, all previous papers and books reiterate a single old result with a single old method. After a review of elementry Fourier analysis, we present completely new results with new methods, though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications, new formulas for the second factor of the class number of a cyclotomic field will be given. The second half of the book assumes familiarity with basic knowledge of modular forms. However, all definitions and facts are clearly stated, and precise references are to the determination of the critical values of Hecke L-functions of an imaginary quadratic field. Other notable features of the book are: (1) some new results on classical Eisenstein series; (2) the discussion of isomorphism classes of ellitic curves with complex multiplication in connection with their zeta function and periods; (3) a new class of holomorphic differential operators that send modular forms to those of a different weight.

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	Science/Engineering Hecke's Theory of Modular Forms and Dirichlet Series Hecke's Theory of Modular Forms and Dirichlet SeriesWorld Scientific Publishing Company \| ISBN: 9812706356 \| 2008-04-30 \| PDF \| 137 pages \| 3 Mb In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory o ...
	Science/Engineering Modular Forms on Schiermonnikoog Bas Edixhoven, Gerard van der Geer, Ben Moonen, "Modular Forms on Schiermonnikoog" Cambridge University Press \| ISBN: 0521493544 \| 2008 \| 360 pages \| PDF \| 1,63 MB Product DescriptionThis collection of up-to-date articles originated from ...
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	Economics/Finances Error Calculus for Finance and Physics: The Language of Dirichlet Forms Nicolas Bouleau, "Error Calculus for Finance and Physics: The Language of Dirichlet Forms" Walter de Gruyter \| 2003 \| ISBN: 3110180367 \| 234 pages \| PDF \| 1,1 MB Many recent advances in modelling within the applied sciences and engineer ...
	Introduction to Siegel Modular Forms and Dirichlet Series Anatoli Andrianov, "Introduction to Siegel Modular Forms and Dirichlet Series" Springer \| 2008 \| ISBN: 0387787526 \| 184 pages \| PDF \| 1,2 MB This is intended for a graduate course on Siegel modular forms, Hecke operators, and related ze ...
	Science/Engineering Modular Forms Modular FormsSpringer \| 3540295925 \| 2006 \| PDF \| 335p \| 10MB \| RS \| FFFor the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English ...

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	Science/Engineering Hecke's Theory of Modular Forms and Dirichlet Series Hecke's Theory of Modular Forms and Dirichlet SeriesWorld Scientific Publishing Company \| ISBN: 9812706356 \| 2008-04-30 \| PDF \| 137 pages \| 3 Mb In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory o ...
	Science/Engineering Modular Forms on Schiermonnikoog Bas Edixhoven, Gerard van der Geer, Ben Moonen, "Modular Forms on Schiermonnikoog" Cambridge University Press \| ISBN: 0521493544 \| 2008 \| 360 pages \| PDF \| 1,63 MB Product DescriptionThis collection of up-to-date articles originated from ...
	Economics/Finances Dirichlet Forms and Markov Processes (Mathematical Library Series, Vol 23): Masatoshi Fukushima Dirichlet Forms and Markov Processes (Mathematical Library Series, Vol 23): Masatoshi Fukushima Elsevier Science \| ISBN: 0444854215 \| 1980-07 \| djvu (ocr) \| 206 pages \| 1.35 Mb A long time has passed since an intimate relationship between ...
	Economics/Finances Error Calculus for Finance and Physics: The Language of Dirichlet Forms Nicolas Bouleau, "Error Calculus for Finance and Physics: The Language of Dirichlet Forms" Walter de Gruyter \| 2003 \| ISBN: 3110180367 \| 234 pages \| PDF \| 1,1 MB Many recent advances in modelling within the applied sciences and engineer ...
	Introduction to Siegel Modular Forms and Dirichlet Series Anatoli Andrianov, "Introduction to Siegel Modular Forms and Dirichlet Series" Springer \| 2008 \| ISBN: 0387787526 \| 184 pages \| PDF \| 1,2 MB This is intended for a graduate course on Siegel modular forms, Hecke operators, and related ze ...
	Science/Engineering Modular Forms Modular FormsSpringer \| 3540295925 \| 2006 \| PDF \| 335p \| 10MB \| RS \| FFFor the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English ...

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