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Asymptotic Diophantine Approximations [PDF]

Proceedings of the National Academy of Sciences, 1966
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Diophantine approximation in characteristiep

Monatshefte f�r Mathematik, 1995
Let \(K_v\) be the completion of a global field \(K\) of positive characteristic \(p\), with respect to a valuation \(v\) of \(K\). For \(y\in K_v \setminus K\), the author defines \(\alpha (y)= \limsup_{r\in K} v(y- r)/ h(r)\), where \(h(r)= [K: k(r)]\) and \(k\) is the constant field of \(K\).
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Summing μ ( n ) : a faster elementary algorithm. [PDF]

Res Number Theory, 2023
Helfgott HA, Thompson L.
europepmc   +1 more source

On prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source

A method in diophantine approximation (III) [PDF]

Acta Arithmetica, 1968
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Unconventional height functions in simultaneous Diophantine approximation. [PDF]

Mon Hefte Math, 2017
Fishman L, Simmons D.
europepmc   +1 more source

On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]

Bol Soc Mat Mex, 2021
Ddamulira M.
europepmc   +1 more source

Online Optimization Method for Nonlinear Model-Predictive Control in Angular Tracking for MEMS Micromirror. [PDF]

Micromachines (Basel), 2022
Cao Q, Tan Y.
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On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]

Ramanujan J, 2021
Ddamulira M, Luca F.
europepmc   +1 more source

Translates of rational points along expanding closed horocycles on the modular surface. [PDF]

Math Ann, 2022
Burrin C, Shapira U, Yu S.
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