Quadratic Reciprocity and Some “Non-differentiable” Functions

DOI10.1007/978-981-10-4337-6_8zbMath1383.11004arXiv1710.07777OpenAlexW2755719342MaRDI QIDQ4609698

Azizul Hoque, Kalyan Chakraborty

Publication date: 26 March 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07777

zbMATH Keywords

quadratic reciprocitynon-differentiable functiontheta transformation

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Power residues, reciprocity (11A15)

Cites Work

• Quadratic reciprocity and Riemann's non-differentiable function
• Differentiability of Riemann's function
• Pointwise analysis of Riemann's ``nondifferentiable function
• Riemann's example of a continuous, 'nondifferentiable' function
• Riemann's example of a continuous nondifferentiable function continued
• Remarks on `Riemann's example' \(\sum_{n=1}^ \infty {\sin n^ 2x\over n^ 2}\) of a continuous, non-differentiable function
• The spectrum of singularities of Riemann's function
• Signal processing and mathematical analysis
• Contributions to the Theory of Zeta-Functions
• On cubic lacunary Fourier series
• The Differentiability of the Riemann Function at Certain Rational Multiples of &#960
• More on the Differentiability of the Riemann Function
• The Differentiability of Riemann's Function
• Lacunary Taylor and Fourier series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quadratic Reciprocity and Some “Non-differentiable” Functions