Andrews, George E.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series
1. Plus-Minus Weighted Zero-Sum Constants: A Survey
Sukumar Das Adhikari
2. Vector-valued Modular Forms and the Seventh Order Mock Theta Functions
Nickolas Andersen
3. The Alladi–Schur Polynomials and Their Factorization
George E. Andrews
4. New Representations for 5. Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet 6. New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions 7. The Appearance of H.F. Baker and E.W. Hobson in “The Man Who Knew Infinity” 8. A Bibasic Heine Transformation Formula and Ramanujan’s 9. Adventures with the OEIS 10. Three-Colored Partitions and Dilated Companions of Capparelli’s Identities 11. Nearly Equal Distributions of the Rank and the Crank of Partitions 12. Holonomic Alchemy and Series for 13. Integral Points on a Very Flat Convex Curve 14. Unification, Refinements and Companions of Generalisations of Schur’s Theorem 15. Integrals Involving Rudin–Shapiro Polynomials and Sketch of a Proof of Saffari’s Conjecture 16. From Ramanujan to Groups of Rationals: A Personal History of Abstract Multiplicative Functions 17. On an Additive Prime Divisor Function of Alladi and Erdős 18. Ramanujan’s Tau Function 19. Construction of Cusp Forms Using Rankin–Cohen Brackets 20. An Open Problem of Corteel, Lovejoy, and Mallet 21. On the Asymptotics of Partial Theta Functions 22. Overpartitions and Truncated Partition Identities 23. Congruences Modulo Powers of 2 for the Number of Unique Path Partitions 24. Complex Form of Classical and Quantum Electrodynamics 25. On a System of 26. Asymmetric Generalizations of Schur’s Theorem 27. Local Behavior of the Composition of the Aliquot and Co-Totient Functions 28. On the Universal Mock Theta Function 29. Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series 30. Littlewood Polynomials 31. Trapezoidal Numbers, Divisor Functions, and a Partition Theorem of Sylvester 32. Estimates of 33. Partition-Theoretic Formulas for Arithmetic Densities 34. A New Witness Identity for 35. On the Representations of a Positive Integer by Certain Classes of Quadratic Forms in Eight Variables 36. A Note on Thue Inequalities with Few Coefficients 37. Basic Hypergeometric Summations from Rook Theory 38. Overpartitions and Singular Overpartitions 39. A Classical 40. Generalized Mertens Sums Avainsanat: Mathematics, Number Theory
Koustav Banerjee, Atul Dixit
Kübra Benli, Ertan Elma, Cem Yalçın Yıldırım
Alexander Berkovich, Ali Kemal Uncu
Bruce C. Berndt
Gaurav Bhatnagar
Jonathan M. Borwein
Kathrin Bringmann, Karl Mahlburg
William Y. C. Chen, Kathy Q. Ji, Wenston J. T. Zang
Shaun Cooper, James G. Wan, Wadim Zudilin
Jean-Marc Deshouillers, Georges Grekos
Jehanne Dousse
Shalosh B. Ekhad, Doron Zeilberger
P. D. T. A. Elliott
Dorian Goldfeld
Michael D. Hirschhorn
Abhash Kumar Jha, Arvind Kumar
Shashank Kanade, Kağan Kurşungöz, Matthew Russell
Susie Kimport
Louis W. Kolitsch
C. Krattenthaler
Sergey I. Kryuchkov, Nathan A. Lanfear, Sergei K. Suslov
Zhi-Guo Liu
Jeremy Lovejoy
Florian Luca, Carl Pomerance
Richard J. McIntosh
James Mc Laughlin
Hugh L. Montgomery
Melvyn B. Nathanson
Jean-Louis Nicolas
Ken Ono, Robert Schneider, Ian Wagner
Peter Paule, Cristian-Silviu Radu
B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
N. Saradha, Divyum Sharma
Michael J. Schlosser, Meesue Yoo
Seunghyun Seo, Ae Ja Yee
Andrew V. Sills
Gérald Tenenbaum
- Toimittaja
- Andrews, George E.
- Garvan, Frank
- Julkaisija
- Springer
- Julkaisuvuosi
- 2017
- Kieli
- en
- Painos
- 1
- Sarja
- Springer Proceedings in Mathematics & Statistics
- Sivumäärä
- 50 sivua
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9783319683768
- Painetun ISBN
- 978-3-319-68375-1