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Topics in Analytic Number Theory
The Euler-MacLaurin Sum Formula
other
Author(s):
Hans Rademacher
Publication date
(Print):
1973
Publisher:
Springer Berlin Heidelberg
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Book Chapter
Publication date (Print):
1973
Pages
: 14-30
DOI:
10.1007/978-3-642-80615-5_2
SO-VID:
62804407-a520-45ac-8b2c-ee575ac5f86f
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Book chapters
pp. 1
Bernoulli Polynomials and Bernoulli Numbers
pp. 14
The Euler-MacLaurin Sum Formula
pp. 30
The Γ-function and Mellin’s Theorem
pp. 58
The Phragmén-Lindelöf Theorem
pp. 70
The Poisson Sum Formula and Applications
pp. 80
The Riemann ζ-function
pp. 93
About the Prime-number Theorem and the Zeros of the ζ-function
pp. 117
The Eisenstein Series
pp. 137
The Transformation of log η(τ) and the Theory of the Dedekind Sums
pp. 164
The ϑ-functions
pp. 183
Elliptic Functions and their Applications to Number Theory
pp. 209
Formal Power Series and the Theory of Partitions
pp. 237
Ramanujan’s Congruences and Identities
pp. 264
Analytic Theory of Partitions
pp. 303
Application of the Circle Method to Modular Forms of Positive Dimension
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