9 дек. 2019 г. · Ramanujan influenced many areas of mathematics, but his work on q-series, on the growth of coefficients of modular forms and on mock modular forms stands out ... Historical remarks · Black hole entropy, the AdS... |
10 мая 2019 г. · It turns out that Ramanujan's mock theta functions are closely related to another type of mock Jacobi forms very similar to the ones that appear ... |
7 июн. 2019 г. · For the rest of the 20th century, Mock theta functions remained as troubling to number theorists as black holes to physicists... ... until ... |
14 дек. 2021 г. · Abstract. In the present research thesis, we have obtained various interesting new mathematical connections concerning the Ramanujan's mock ... |
Ramanujan gives no definition of mock theta functions but only a list of 17 examples and a qualitative description of the key property that he had noticed: that ... |
Abstract: We show that the quantum degeneracies of single-centered black holes in N = 4 theories are coefficients of a mock modular form. |
28 дек. 2023 г. · Relations between black hole partition functions, functions called indefinite theta series (which are closely related to mock modular forms),. |
Don Zagier defines a mock theta function as a rational power of q = e2πi𝜏 times a mock modular form of weight 1 whose shadow is a theta series of the form. Definition · Indefinite theta series · Applications · Examples |
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