Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. III
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Publication:2045870
zbMath1497.11076arXiv2005.10377MaRDI QIDQ2045870
Publication date: 16 August 2021
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.10377
periodic pointsRogers-Ramanujan continued fractionalgebraic function5-adic fieldextended ring class fields
Complex multiplication and moduli of abelian varieties (11G15) Higher degree equations; Fermat's equation (11D41) Elliptic curves over local fields (11G07) Algebraic functions and function fields in algebraic geometry (14H05)
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Cites Work
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- Product formulas for the 5-division points on the Tate normal form and the Rogers-Ramanujan continued fraction
- Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. I.
- Primes of the form \(x^2+ny^2\) with conditions \(x\equiv 1 \bmod N\), \(y\equiv 0\bmod N\)
- Modular equations for the Rogers-Ramanujan continued fraction and the Dedekind eta-function
- Zur komplexen Multiplikation
- On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\)
- Periodic points of algebraic functions and Deuring's class number formula
- Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. II: The Rogers-Ramanujan continued fraction
- Explicit identities for invariants of elliptic curves
- Die Anzahl der Typen von Maximalordnungen einer definiten Quaternionenalgebra mit primer Grundzahl
- Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)
- Continued fractions and modular functions
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