Chapter: Application of the Circle Method to Modular Forms of Positive Dimension

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Home > Topics in Analytic Number Theory > Application of the Circle Method to Modular Forms of Positive Dimension

Topics in Analytic Number Theory |

Hans Rademacher

Springer Berlin Heidelberg

Application of the Circle Method to Modular Forms of Positive Dimension

Chapter Info

Authors

Hans Rademacher

ARI Id

1674219766068_3346542

Access

Not Available Free

Pages

303-313

DOI

10.1007/978-3-642-80615-5_15

Chapter URL

https://rd.springer.com/chapter/10.1007/978-3-642-80615-5_15

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		N1-IX
Bernoulli Polynomials and Bernoulli Numbers	Hans Rademacher	1-13
The Euler-MacLaurin Sum Formula	Hans Rademacher	14-30
The Γ-function and Mellin’s Theorem	Hans Rademacher	30-58
The Phragmén-Lindelöf Theorem	Hans Rademacher	58-70
The Poisson Sum Formula and Applications	Hans Rademacher	70-79
The Riemann ζ-function	Hans Rademacher	80-92
About the Prime-number Theorem and the Zeros of the ζ-function	Hans Rademacher	93-116
The Eisenstein Series	Hans Rademacher	117-137
The Transformation of log η(τ) and the Theory of the Dedekind Sums	Hans Rademacher	137-163
The ϑ-functions	Hans Rademacher	164-183
Elliptic Functions and their Applications to Number Theory	Hans Rademacher	183-208
Formal Power Series and the Theory of Partitions	Hans Rademacher	209-237
Ramanujan’s Congruences and Identities	Hans Rademacher	237-263
Analytic Theory of Partitions	Hans Rademacher	264-302
Application of the Circle Method to Modular Forms of Positive Dimension	Hans Rademacher	303-313
Back Matter		314-322
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