Convexity of quotients of theta functions

DOI10.1016/j.jmaa.2011.08.012zbMath1253.33022arXiv1104.2401OpenAlexW2964294751MaRDI QIDQ640975

Atul Dixit, Arindam Roy, Alexandru Zaharescu

Publication date: 21 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2401

zbMATH Keywords

monotonicityheat equationWeierstrass elliptic functionJacobi theta function

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other wave functions (33E15)

Related Items (5)

Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions ⋮ Heating long pipes ⋮ On a conjecture of Faulhuber and Steinerberger on the logarithmic derivative of \(\vartheta_{4}\) ⋮ Monotonicity results for Dirichlet \(L\)-functions ⋮ On the Riesz constants for systems of integer translates

Cites Work

• Complete monotonicity of some functions involving polygamma functions
• Geometric theorems and problems for harmonic measure
• Some new properties of Jacobi's theta functions
• Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions
• Monotonicity of quotients of theta functions related to an extremal problem on harmonic measure
• Partial Fractions and Four Classical Theorems of Number Theory
• On the harmonic measure of slit domains
• Integral Representations and Complete Monotonicity of Various Quotients of Bessel Functions
• Harmonic measure of radial line segments and symmetrization
• Completely monotonic functions
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