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Eta Products and Theta Series Identities

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Cover of 'Eta Products and Theta Series Identities'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Dedekind’s Eta Function and Modular Forms
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    Chapter 2 Eta Products
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    Chapter 3 Eta Products and Lattice Points in Simplices
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    Chapter 4 An Algorithm for Listing Lattice Points in a Simplex
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    Chapter 5 Theta Series with Hecke Character
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    Chapter 6 Groups of Coprime Residues in Quadratic Fields
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    Chapter 7 Ideal Numbers for Quadratic Fields
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    Chapter 8 Eta Products of Weight $\frac{1}{2}$ and $\frac{3}{2}$
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    Chapter 9 Level 1: The Full Modular Group
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    Chapter 10 The prime level N =2
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    Chapter 11 The prime level N =3
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    Chapter 12 Prime levels N = p ≥5
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    Chapter 13 Level N =4
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    Chapter 14 Levels N = p 2 with Primes p ≥3
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    Chapter 15 Levels N = p 3 and p 4 for Primes p
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    Chapter 16 Levels N = pq with Primes 3≤ p < q
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    Chapter 17 Weight 1 for Levels N =2 p with Primes p ≥5
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    Chapter 18 Level N =6
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    Chapter 19 Weight 1 for Prime Power Levels p 5 and p 6
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    Chapter 20 Levels p 2 q for distinct primes p ≠2 and q
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    Chapter 21 Levels 4 p for the Primes p =23 and 19
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    Chapter 22 Levels 4 p for p =17 and 13
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    Chapter 23 Levels 4 p for p =11 and 7
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    Chapter 24 Weight 1 for level N =20
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    Chapter 25 Cuspidal Eta Products of Weight 1 for Level 12
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    Chapter 26 Non-cuspidal Eta Products of Weight 1 for Level 12
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    Chapter 27 Weight 1 for Fricke Groups Γ ∗ ( q 3 p )
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    Chapter 28 Weight 1 for Fricke Groups Γ ∗ (2 pq )
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    Chapter 29 Weight 1 for Fricke Groups Γ ∗ ( p 2 q 2 )
  31. Altmetric Badge
    Chapter 30 Weight 1 for the Fricke Groups Γ ∗ (60) and Γ ∗ (84)
  32. Altmetric Badge
    Chapter 31 Some More Levels 4 pq with Odd Primes p ≠ q
Overall attention for this book and its chapters
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Title
Eta Products and Theta Series Identities
Published by
Springer Science & Business Media, January 2011
DOI 10.1007/978-3-642-16152-0
ISBNs
978-3-64-216152-0, 978-3-64-216151-3
Authors

Köhler, Günter

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 16 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 6%
Unknown 15 94%

Demographic breakdown

Readers by professional status Count As %
Professor 3 19%
Student > Ph. D. Student 3 19%
Student > Master 2 13%
Professor > Associate Professor 2 13%
Researcher 1 6%
Other 1 6%
Unknown 4 25%
Readers by discipline Count As %
Mathematics 9 56%
Physics and Astronomy 3 19%
Unknown 4 25%