Tropical formulae for summation over a part of \(\mathrm{SL}(2,\mathbb{Z})\)

DOI10.1007/s40879-018-0218-0zbMath1469.14118arXiv1711.02089OpenAlexW2792535194MaRDI QIDQ2326971

Mikhail Shkolnikov, Nikita Kalinin

Publication date: 10 October 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02089

zbMATH Keywords

summationtropical geometry\(\pi\)\(\mathrm{SL}(2,\mathbb{Z})\)

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) Lattices and convex bodies (number-theoretic aspects) (11H06) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Continued fractions (11A55) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

• Unnamed Item
• Introduction to tropical series and wave dynamic on them
• The number \(\pi \) and a summation by \(\mathrm{SL}(2,\mathbb {Z})\)
• The number of vertices of a tropical curve is bounded by its area
• Hamiltoniens périodiques et images convexes de l'application moment
• Brief introduction to tropical geometry
• Lectures on symplectic geometry

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