Towards quantized complex numbers: \(q\)-deformed Gaussian integers and the Picard group

DOI10.46298/OCNMP.7480zbMATH Open1547.05037MaRDI QIDQ6580252

Valentin Ovsienko

Publication date: 29 July 2024

Published in: Open Communications in Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-binomial coefficients\(q\)-deformed rational numbers

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Structure of modular groups and generalizations; arithmetic groups (11F06) Designs and configurations (05B99) Miscellaneous topics of analysis in the complex plane (30E99)

Cites Work

• Title not available (Why is that?)
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• Title not available (Why is that?)
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• Diophantine approximation of complex numbers
• On the reduction of binary quadratic forms with complex coefficients and variables.
• On the representation of complex numbers as continued fractions
• \(q\)-deformations in the modular group and of the real quadratic irrational numbers
• Quantum numbers and \(q\)-deformed Conway-Coxeter friezes
• Generators and relations for certain special linear groups
• The On-Line Encyclopedia of Integer Sequences
• Analysis of the basic matrix representation ofGL q(2,C)
• On q-Deformed Real Numbers
• -DEFORMED RATIONALS AND -CONTINUED FRACTIONS
• On a rank-unimodality conjecture of Morier-Genoud and Ovsienko
• Quantum calculus

Related Items (1)

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