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Mathematica programs to compute overlap coincidence

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Related meetings

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6-th International Conference on Uniform Distribution Theory, 10/1-10/5, 2018 at CIRM
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Research Interest:

Pisot number, Number system

Non-standard way to express numbers, such as beta-expansion, canonical number system, 3/2 number system, Shift radix system, e.t.c. Applications to number theory, Diophantine approximation and others.

Fractal Tiling, Symbolic Dynamical System

Tiling associated with discrete dynamical systems. Arithmetic/ergodic studies of number theoretical algorithms. Quasiperiodic structures and their spectral study.

Uniform Distribution

Irregularity of distribution of a given sequence. Coding of irrational rotation and its generalization. Continued fractions.

Automorphic Forms, L-function

Selberg's trace formula. Riemann Hypothesis of zeta functions. Fourier coefficients of automorphic forms.

Analytic Number Theory in general

All topics related to analytic number theory. Primes, integers, special numbers like (Seki-)Benoulli numbers. Multiple zeta function.

Introductory Articles:

Open Problems:
Finiteness and periodicity of beta expansions, Number theoretical and Dynamical open problems (2009 CIRM)
Pisot expansion in self-inducing systems, Open problems for youngsters (2009 Kanazawa).

Dual Pisot tiling:
Pisot number system and its dual tiling, IOS Press (2007) 133-154.

Shift Radix System:
From number systems to shift radix systems, Nihonkai Math. J. 16 (2005) no. 2, 95-106.

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