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Quantum modular forms and singular combinatorial series with repeated roots of unity
Acta Arithmetica
◽
10.4064/aa190326-23-10
◽
2020
◽
Vol 194
(4)
◽
pp. 393-421
Author(s):
Amanda Folsom
◽
Min-Joo Jang
◽
Sam Kimport
◽
Holly Swisher
Keyword(s):
Modular Forms
◽
Roots Of Unity
◽
Quantum Modular Forms
Download Full-text
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Cited By
References
Quantum Modular Forms and Singular Combinatorial Series with Distinct Roots of Unity
Association for Women in Mathematics Series - Research Directions in Number Theory
◽
10.1007/978-3-030-19478-9_9
◽
2019
◽
pp. 173-195
Author(s):
Amanda Folsom
◽
Min-Joo Jang
◽
Sam Kimport
◽
Holly Swisher
Keyword(s):
Modular Forms
◽
Roots Of Unity
◽
Quantum Modular Forms
Download Full-text
Integer partitions, probabilities and quantum modular forms
Research in the Mathematical Sciences
◽
10.1186/s40687-017-0102-4
◽
2017
◽
Vol 4
(1)
◽
Author(s):
Hieu T. Ngo
◽
Robert C. Rhoades
Keyword(s):
Modular Forms
◽
Integer Partitions
◽
Quantum Modular Forms
Download Full-text
The Mordell integral, quantum modular forms, and mock Jacobi forms
Research in Number Theory
◽
10.1007/s40993-015-0002-x
◽
2015
◽
Vol 1
(1)
◽
Cited By ~ 2
Author(s):
Bobbie Chern
◽
Robert C Rhoades
Keyword(s):
Modular Forms
◽
Jacobi Forms
◽
Quantum Modular Forms
◽
Mordell Integral
◽
Integral Quantum
Download Full-text
Quantum modular forms and plumbing graphs of 3-manifolds
Journal of Combinatorial Theory Series A
◽
10.1016/j.jcta.2019.105145
◽
2020
◽
Vol 170
◽
pp. 105145
◽
Cited By ~ 1
Author(s):
Kathrin Bringmann
◽
Karl Mahlburg
◽
Antun Milas
Keyword(s):
Modular Forms
◽
Quantum Modular Forms
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A note on additive twists, reciprocity laws and quantum modular forms
The Ramanujan Journal
◽
10.1007/s11139-020-00270-1
◽
2020
◽
Author(s):
Asbjørn Christian Nordentoft
Keyword(s):
Modular Forms
◽
Quantum Modular Forms
◽
Reciprocity Laws
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Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis
Research in the Mathematical Sciences
◽
10.1007/s40687-018-0159-8
◽
2018
◽
Vol 6
(1)
◽
Cited By ~ 1
Author(s):
John Lewis
◽
Don Zagier
Keyword(s):
Modular Forms
◽
Riemann Hypothesis
◽
Generalized Riemann Hypothesis
◽
Quantum Modular Forms
Download Full-text
“Strange” combinatorial quantum modular forms
Journal of Number Theory
◽
10.1016/j.jnt.2016.06.005
◽
2017
◽
Vol 170
◽
pp. 315-346
◽
Cited By ~ 7
Author(s):
Amanda Folsom
◽
Caleb Ki
◽
Yen Nhi Truong Vu
◽
Bowen Yang
Keyword(s):
Modular Forms
◽
Quantum Modular Forms
Download Full-text
Mock modular forms and quantum modular forms
Proceedings of the American Mathematical Society
◽
10.1090/proc/12907
◽
2015
◽
Vol 144
(6)
◽
pp. 2337-2349
◽
Cited By ~ 12
Author(s):
Dohoon Choi
◽
Subong Lim
◽
Robert C. Rhoades
Keyword(s):
Modular Forms
◽
Quantum Modular Forms
◽
Mock Modular Forms
Download Full-text
Torus knots and quantum modular forms
Research in the Mathematical Sciences
◽
10.1186/s40687-014-0016-3
◽
2015
◽
Vol 2
(1)
◽
Cited By ~ 13
Author(s):
Kazuhiro Hikami
◽
Jeremy Lovejoy
Keyword(s):
Modular Forms
◽
Torus Knots
◽
Quantum Modular Forms
Download Full-text
Higher depth quantum modular forms and plumbed 3-manifolds
Letters in Mathematical Physics
◽
10.1007/s11005-020-01310-z
◽
2020
◽
Vol 110
(10)
◽
pp. 2675-2702
Author(s):
Kathrin Bringmann
◽
Karl Mahlburg
◽
Antun Milas
Keyword(s):
Modular Forms
◽
Quantum Modular Forms
Download Full-text
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