Preprints

・Shigeki Akiyama, Teturo Kamae, Hajime Kaneko,
Exponential Diophantine approximation and symbolic dynamics. Link to arxiv.


Published papers. Additionally, these include papers that are scheduled for publication.

・Hajime Kaneko, Wolfgang Steiner,
Markoff-Lagrange spectrum of one-sided shifts, to appear in Mathematika, Link to arxiv.
・Karam Aloui, Damien Jamet, Hajime Kaneko, Steffen Kopecki, Pierre Popoli, Thomas Stoll,
On the binary digits of $n$ and $n^2$,
Theoretical Computer Science, 939, (January) 2023, 119-139. Link to arxiv.
・Shigeki Akiyama, Hajime Kaneko,
Curious congruences for cyclotomic polynomials,
Research in Number Theory volume 8, Article number: 102 (2022). Link to arxiv.
・Hajime Kaneko, Makoto Kawashima,
The digit exchanges in the rotational beta expansions of algebraic numbers,
J. Number Theory 241 (2022), 430–449. Link to arxiv.
・Hajime Kaneko, Thomas Stoll, Products of integers with few nonzero digits
Unif. Distrib. Theory 17 (2022), no.1, 11-28. Link to arxiv.
・Shigeki Akiyama, Hajime Kaneko, Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers,
Adv. Math. Volume 380, 26 March 2021, 107547. Link to arxiv.
・Shigeki Akiyama, Hajime Kaneko, Dong Han Kim, Generic point equivalence and Pisot numbers,
Ergodic Theory Dynam. Systems 40 (2020), no. 12, 3169–3180. Link to arxiv
・Yann Bugeaud, Hajime Kaneko, On perfect powers in linear recurrence sequences of integers,
Kyushu J. Math. 73 (2019), no. 2, 221–227. PDF file
・Hajime Kaneko, Arithmetical properties of real numbers related to beta-expansions,
Funct. Approx. Comment. Math. 60 (2019), no. 2, 195–226. PDF file
・Hajime Kaneko, Thomas Stoll, Hensel's lemma for general continuous functions,
Indag. Math. (N.S.) 30 (2019), no. 4, 610–622. Link to arxiv
・Shigeki Akiyama, Jonathan Caalim, Katsunobu Imai, Hajime Kaneko, Corona limits of tilings: periodic case,
Discrete Comput. Geom. 61 (2019), no. 3, 626–652. Link to arxiv
・Hajime Kaneko, Takao Komatsu, Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers,
Algebraic number theory and related topics 2015, RIMS Kôkyûroku Bessatsu,
B72 (2018), 23–35, Res. Inst. Math. Sci. (RIMS), Kyoto. Link to arxiv
・Yann Bugeaud, Hajime Kaneko, On the digital representation of smooth numbers,
Math. Proc. Cambridge Philos. Soc. 165 (2018), no. 3, 533–540. Link to arxiv
・Hajime Kaneko, Thomas Stoll, On subwords in the base-q expansion of polynomial and exponential functions,
Integers 18A (2018), Paper No. A11, 11 pp. Link to arxiv
・Hajime Kaneko, Algebraic independence of the values of power series with unbounded coefficients,
Ark. Mat. 55 (2017), no. 1, 61–87. PDF file
・Hajime Kaneko, On the number of nonzero digits in the beta-expansions of algebraic numbers,
Rend. Semin. Mat. Univ. Padova 136 (2016), 205–223. PDF file
・Hajime Kaneko, Takao Komatsu, Cauchy-Carlitz numbers,
J. Number Theory 163 (2016), 238–254. Link to arxiv
・Hajime Kaneko, On the beta-expansions of 1 and algebraic numbers for a Salem number beta,
Ergodic Theory Dynam. Systems 35 (2015), no. 4, 1243–1262. PDF file
・Hajime Kaneko, Takeshi Kurosawa, Yohei Tachiya, Taka-aki Tanaka,
Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers,
Acta Arith. 168 (2015), no. 2, 161–186. PDF file
・Hajime Kaneko, Applications of numerical systems to transcendental number theory,
Numeration and substitution 2012, RIMS Kôkyûroku Bessatsu,
B46 (2014), 175–186, Res. Inst. Math. Sci. (RIMS), Kyoto. PDF file
・Hajime Kaneko, On the number of digit changes in base-b expansions of algebraic numbers,
Unif. Distrib. Theory 7 (2012), no. 2, 141–168. PDF file
・Hajime Kaneko, On the fractional parts of powers of algebraic numbers,
Functions in number theory and their probabilistic aspects, RIMS Kôkyûroku Bessatsu,
B34 (2012), 127–136, Res. Inst. Math. Sci. (RIMS), Kyoto. PDF file
・Hajime Kaneko, Algebraic independence of real numbers with low density of nonzero digits,
Acta Arith. 154 (2012), no. 4, 325–351. PDF file
・Hajime Kaneko, On the binary digits of algebraic numbers,
J. Aust. Math. Soc. 89 (2010), no. 2, 233–244. PDF file
・Hajime Kaneko, On normal numbers and powers of algebraic numbers,
Integers 10 (2010), A5, 31–64. PDF file
・Hajime Kaneko, Limit points of fractional parts of geometric sequences,
Unif. Distrib. Theory 4 (2009), no. 2, 1–37. PDF file
・Hajime Kaneko, Distribution of geometric sequences modulo 1,
Results Math. 52 (2008), no. 1-2, 91–109. PDF file

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