The definite integral \(\int_{-\infty}^\infty {e^{ax^2+bx}\over e^{cx+d}}dx\) and the analytic theory of numbers
From MaRDI portal
Publication:1839654
DOI10.1007/BF02547795zbMath0008.05501MaRDI QIDQ1839654
No author found.
Publication date: 1933
Published in: Acta Mathematica (Search for Journal in Brave)
Related Items (20)
Quantum invariants, modular forms, and lattice points II ⋮ On the \(\text{SU}(2| 1)\) WZNW model and its statistical mechanics applications ⋮ Gauge threshold corrections for \( \mathcal{N}=2 \) heterotic local models with flux, and mock modular forms ⋮ Moments of the logit-normal distribution ⋮ Hodge-elliptic genera and how they govern \(K3\) theories ⋮ Applications of the theory of modular forms to number theory ⋮ Transformation formula of the ``second order mock theta function ⋮ Ramanujan's ``lost notebook. II: Theta-function expansions ⋮ The Mordell integral, quantum modular forms, and mock Jacobi forms ⋮ Integral representations for the Dirichlet L-functions and their expansions in Meixner–Pollaczek polynomials and rising factorials† ⋮ On the Riemann–Siegel formula ⋮ On summability of formal solutions to a Cauchy problem and generalization of Mordell's theorem ⋮ Addendum to ``The logistic-normal integral and its generalizations ⋮ \({\mathcal N}=2\) superconformal algebra and the entropy of Calabi-Yau manifolds ⋮ On the mock-theta behavior of Appell-Lerch series ⋮ Characters of admissible representations of the affine superalgebra \(\widehat{\text{sl}}(2|1;{\mathbb{C}})_k\) ⋮ Universal mock theta functions as quantum Jacobi forms ⋮ Computing the truncated theta function via Mordell integral ⋮ A generalization of the Riemann-Siegel formula ⋮ Supersymmetric \(U(N)\) Chern-Simons-matter theory and phase transitions
Cites Work
This page was built for publication: The definite integral \(\int_{-\infty}^\infty {e^{ax^2+bx}\over e^{cx+d}}dx\) and the analytic theory of numbers
