↓ Skip to main content

Analytic Number Theory, Modular Forms and q-Hypergeometric Series

Overview of attention for book
Cover of 'Analytic Number Theory, Modular Forms and q-Hypergeometric Series'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Plus-Minus Weighted Zero-Sum Constants: A Survey
  3. Altmetric Badge
    Chapter 2 Vector-valued Modular Forms and the Seventh Order Mock Theta Functions
  4. Altmetric Badge
    Chapter 3 The Alladi–Schur Polynomials and Their Factorization
  5. Altmetric Badge
    Chapter 4 New Representations for $$\sigma (q)$$ via Reciprocity Theorems
  6. Altmetric Badge
    Chapter 5 Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet L -Functions
  7. Altmetric Badge
    Chapter 6 New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions
  8. Altmetric Badge
    Chapter 7 The Appearance of H.F. Baker and E.W. Hobson in “The Man Who Knew Infinity”
  9. Altmetric Badge
    Chapter 8 A Bibasic Heine Transformation Formula and Ramanujan’s $$_2\phi _1$$ Transformations
  10. Altmetric Badge
    Chapter 9 Adventures with the OEIS
  11. Altmetric Badge
    Chapter 10 Three-Colored Partitions and Dilated Companions of Capparelli’s Identities
  12. Altmetric Badge
    Chapter 11 Nearly Equal Distributions of the Rank and the Crank of Partitions
  13. Altmetric Badge
    Chapter 12 Holonomic Alchemy and Series for $$1/\pi $$
  14. Altmetric Badge
    Chapter 13 Integral Points on a Very Flat Convex Curve
  15. Altmetric Badge
    Chapter 14 Unification, Refinements and Companions of Generalisations of Schur’s Theorem
  16. Altmetric Badge
    Chapter 15 Integrals Involving Rudin–Shapiro Polynomials and Sketch of a Proof of Saffari’s Conjecture
  17. Altmetric Badge
    Chapter 16 From Ramanujan to Groups of Rationals: A Personal History of Abstract Multiplicative Functions
  18. Altmetric Badge
    Chapter 17 On an Additive Prime Divisor Function of Alladi and Erdős
  19. Altmetric Badge
    Chapter 18 Ramanujan’s Tau Function
  20. Altmetric Badge
    Chapter 19 Construction of Cusp Forms Using Rankin–Cohen Brackets
  21. Altmetric Badge
    Chapter 20 An Open Problem of Corteel, Lovejoy, and Mallet
  22. Altmetric Badge
    Chapter 21 On the Asymptotics of Partial Theta Functions
  23. Altmetric Badge
    Chapter 22 Overpartitions and Truncated Partition Identities
  24. Altmetric Badge
    Chapter 23 Congruences Modulo Powers of 2 for the Number of Unique Path Partitions
  25. Altmetric Badge
    Chapter 24 Complex Form of Classical and Quantum Electrodynamics
  26. Altmetric Badge
    Chapter 25 On a System of q -Partial Differential Equations with Applications to q -Series
  27. Altmetric Badge
    Chapter 26 Asymmetric Generalizations of Schur’s Theorem
  28. Altmetric Badge
    Chapter 27 Local Behavior of the Composition of the Aliquot and Co-Totient Functions
  29. Altmetric Badge
    Chapter 28 On the Universal Mock Theta Function $$g_{{{\scriptstyle 2}}}$$ and Zwegers’ $$\mu $$ -Function
  30. Altmetric Badge
    Chapter 29 Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series
  31. Altmetric Badge
    Chapter 30 Littlewood Polynomials
  32. Altmetric Badge
    Chapter 31 Trapezoidal Numbers, Divisor Functions, and a Partition Theorem of Sylvester
  33. Altmetric Badge
    Chapter 32 Estimates of $${{\mathrm{li}}}(\theta (x))-\pi (x)$$ and the Riemann Hypothesis
  34. Altmetric Badge
    Chapter 33 Partition-Theoretic Formulas for Arithmetic Densities
  35. Altmetric Badge
    Chapter 34 A New Witness Identity for $$\varvec{11\mid p(11n+6)}$$
  36. Altmetric Badge
    Chapter 35 On the Representations of a Positive Integer by Certain Classes of Quadratic Forms in Eight Variables
  37. Altmetric Badge
    Chapter 36 A Note on Thue Inequalities with Few Coefficients
  38. Altmetric Badge
    Chapter 37 Basic Hypergeometric Summations from Rook Theory
  39. Altmetric Badge
    Chapter 38 Overpartitions and Singular Overpartitions
  40. Altmetric Badge
    Chapter 39 A classical $q$-hypergeometric approach to the standard $A_2^{(2)}$ standard modules
  41. Altmetric Badge
    Chapter 40 Generalized Mertens Sums
Overall attention for this book and its chapters
Altmetric Badge

Mentioned by

twitter
5 X users
facebook
1 Facebook page
wikipedia
1 Wikipedia page

Citations

dimensions_citation
3 Dimensions
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Title
Analytic Number Theory, Modular Forms and q-Hypergeometric Series
Published by
Springer International Publishing, February 2018
DOI 10.1007/978-3-319-68376-8
ISBNs
978-3-31-968375-1, 978-3-31-968376-8
Editors

Andrews, George E., Garvan, Frank

X Demographics

X Demographics

The data shown below were collected from the profiles of 5 X users who shared this research output. Click here to find out more about how the information was compiled.