Results 71 to 80 of about 162 (133)
Quantum Black Holes, Wall Crossing, and Mock Modular Forms
, 2012 We show that the meromorphic Jacobi form that counts the quarter-BPS states in N=4 string theories can be canonically decomposed as a sum of a mock Jacobi form and an Appell-Lerch sum.
Zagier, Don +6 more
core
Exceptional modular form of weight 4 on an exceptional domain contained in C27.
, 1993 Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multiples of 1/2, 1, 2, 4 for the Siegel, Hermitian, quaternion and exceptional cases, respectively.
Kim, Hasuck
core
Ramanujan's influence on string theory, black holes and moonshine. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Harvey JA.
europepmc +1 more source
On a question of Mordell. [PDF]
Proc Natl Acad Sci U S A, 2021 Booker AR, Sutherland AV.
europepmc +1 more source
Modular forms: a classical approach
, 2017 The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and "fun" subject in itself and abounds with an amazing number of surprising identities.
Strömberg, Fredrik, Cohen, Henri
core
From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Gillman N +4 more
europepmc +1 more source
Solvable models of quantum black holes: a review on Jackiw-Teitelboim gravity. [PDF]
Living Rev Relativ, 2023 Mertens TG, Turiaci GJ.
europepmc +1 more source
On the real zeroes of half-integral weight Hecke cusp forms. [PDF]
Math AnnJääsaari J.
europepmc +1 more source
The Ramanujan conjecture and its applications. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Winnie Li WC.
europepmc +1 more source
Flipping operators and locally harmonic Maass forms. [PDF]
Ramanujan JBringmann K, Mono A, Rolen L.
europepmc +1 more source