Results 1 to 10 of about 10,632,527 (346)
KP solitons and the Riemann theta functions [PDF]
Letters in Mathematical Physics, 2023 We show that the τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$
Yuji Kodama
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M5 branes and theta functions [PDF]
Journal of High Energy Physics, 2019 We propose quantum states for Little String Theories (LSTs) arising from M5 branes probing A- and D-type singularities. This extends Witten’s picture of M5 brane partition functions as theta functions to this more general setup.
Babak Haghighat, Rui Sun
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Ramanujan's mock theta functions. [PDF]
Proc Natl Acad Sci U S A, 2013 In his famous deathbed letter, Ramanujan introduced the notion of a mock theta function , and he offered some alleged examples. Recent work by Zwegers [Zwegers S (2001) Contemp Math 291:268–277 and Zwegers S (2002) PhD thesis (Univ of Utrecht, Utrecht, The Netherlands)] has elucidated the ...
Griffin M, Ono K, Rolen L.
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Minimal Frame Operator Norms Via Minimal Theta Functions. [PDF]
J Fourier Anal Appl, 2018 We investigate sharp frame bounds of Gabor frames with chirped Gaussians and rectangular lattices or, equivalently, the case of the standard Gaussian and general lattices.
Faulhuber M.
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Mock theta functions and Appell–Lerch sums [PDF]
Journal of Inequalities and Applications, 2018 Recently, Mortenson (Proc. Edinb. Math. Soc. 4:1–13, 2015) explored the bilateral series in terms of Appell–Lerch sums for the universal mock theta function g2(x,q) $g_{2}{(x,q)}$.
Bin Chen
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Donaldson-Witten theory and indefinite theta functions [PDF]
Journal of High Energy Physics, 2017 We consider partition functions with insertions of surface operators of topologically twisted N=2 $$ \mathcal{N}=2 $$, SU(2) supersymmetric Yang-Mills theory, or Donaldson-Witten theory for short, on a four-manifold.
Georgios Korpas, Jan Manschot
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MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS [PDF]
Forum of Mathematics, Pi, 2013 Ramanujan’s last letter to Hardy concerns the asymptotic properties of modular forms and his ‘mock theta functions’. For the mock theta function $f(q)$, Ramanujan claims that as $q$ approaches an even-order $2k$ root of unity, we have $$\begin{eqnarray ...
AMANDA FOLSOM +2 more
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High moments of theta functions and character sums [PDF]
Mathematika, 2023 Assuming the Generalised Riemann Hypothesis, we prove a sharp upper bound on moments of shifted Dirichlet L‐functions. We use this to obtain conditional upper bounds on high moments of theta functions. Both of these results strengthen theorems of Munsch,
Barnab'as Szab'o
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Reduction Formulae for Products of Theta Functions. [PDF]
J Res Natl Inst Stand Technol, 2012 Walker PL.
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Recurrence relations connecting mock theta functions and restricted partition functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we provide some recurrence relations connecting restricted partition functions and mock theta functions. Elementary manipulations are used including Jacobi triple product identity, Euler's pentagonal number theorem, and Ramanujan's theta ...
M. Rana, H. Kaur, K. Garg
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