Hajime Kaneko

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All published works

Action	Title	Year	Authors
+ PDF Chat	Rotational beta expansions and Schmidt games	2025	Hajime Kaneko Jonathan Caalim Nathaniel Nollen
+	Markoff-Lagrange spectrum of one-sided shifts	2023	Hajime Kaneko Wolfgang Steiner
+ PDF Chat	Curious congruences for cyclotomic polynomials	2022	Shigeki Akiyama Hajime Kaneko
+ PDF Chat	On the binary digits of n and n2	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+ PDF Chat	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+ PDF Chat	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+ PDF Chat	Products of Integers with Few Nonzero Digits	2022	Hajime Kaneko Thomas Stoll
+ PDF Chat	The digit exchanges in the rotational beta expansions of algebraic numbers	2022	Hajime Kaneko Makoto Kawashima
+	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+ PDF Chat	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+	On the binary digits of n and n²	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+	Exponential Diophantine approximation and symbolic dynamics	2022	Shigeki Akiyama Teturo Kamae Hajime Kaneko
+	Curious congruences for cyclotomic polynomials	2022	Shigeki Akiyama Hajime Kaneko
+	On the binary digits of $n$ and $n^2$	2022	Karam Aloui Damien Jamet Hajime Kaneko Steffen Kopecki Pierre Popoli Thomas Stoll
+ PDF Chat	Products of integers with few nonzero digits	2021	Hajime Kaneko Thomas Stoll
+	Corrigendum to “Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers” [Adv. Math. 380 (2021) 107547]	2021	Shigeki Akiyama Hajime Kaneko
+ PDF Chat	Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers	2021	Shigeki Akiyama Hajime Kaneko
+	Products of integers with few nonzero digits	2021	Hajime Kaneko Thomas Stoll
+ PDF Chat	Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers	2019	Shigeki Akiyama Hajime Kaneko
+ PDF Chat	Generic point equivalence and Pisot numbers	2019	Shigeki Akiyama Hajime Kaneko Dong Han Kim
+	Hensel’s lemma for general continuous functions	2019	Hajime Kaneko Thomas Stoll
+	The digit exchanges in the beta expansion of algebraic numbers	2019	Hajime Kaneko Makoto Kawashima
+	Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers	2019	Shigeki Akiyama Hajime Kaneko
+ PDF Chat	ON PERFECT POWERS IN LINEAR RECURRENCE SEQUENCES OF INTEGERS	2019	Yann Bugeaud Hajime Kaneko
+	The digit exchanges in the rotational beta expansions of algebraic numbers	2019	Hajime Kaneko Makoto Kawashima
+ PDF Chat	Corona Limits of Tilings: Periodic Case	2018	Shigeki Akiyama Jonathan Caalim Katsunobu Imai Hajime Kaneko
+ PDF Chat	Arithmetical properties of real numbers related to beta-expansions	2018	Hajime Kaneko
+ PDF Chat	On the digital representation of smooth numbers	2017	Yann Bugeaud Hajime Kaneko
+	On subwords in the base-$q$ expansion of polynomial and exponential functions	2017	Hajime Kaneko Thomas Stoll
+	Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers	2017	Hajime Kaneko Takao Komatsu
+	Hensel's lemma for general continuous functions	2017	Hajime Kaneko Thomas Stoll
+	On subwords in the base-$q$ expansion of polynomial and exponential functions	2017	Hajime Kaneko Thomas Stoll
+	Corona limits of tilings : Periodic case	2017	Shigeki Akiyama Jonathan Caalim Katsunobu Imai Hajime Kaneko
+	Arithmetical properties of real numbers related to beta-expansions	2017	Hajime Kaneko
+ PDF Chat	Cauchy–Carlitz numbers	2016	Hajime Kaneko Takao Komatsu
+	Applications of numerical systems to transcendental number theory (Numeration and Substitution 2012)	2014	Hajime Kaneko
+	Algebraic independence of the power series related to the beta expansions of real numbers (Analytic Number Theory : Arithmetic Properties of Transcendental Functions and their Applications)	2014	Hajime Kaneko
+	On the beta-expansions of 1 and algebraic numbers for a Salem number beta	2014	Hajime Kaneko
+	On the transcendental degrees of the fields generated by special values of power series (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)	2012	Hajime Kaneko
+	On the fractional parts of powers of algebraic numbers (Functions in Number Theory and Their Probabilistic Aspects)	2012	Hajime Kaneko
+ PDF Chat	Algebraic independence of real numbers with low density of nonzero digits	2012	Hajime Kaneko
+	On the b-ary expansions of algebraic irrational numbers (survey)	2011	Hajime Kaneko Masaaki Amou Masanori Katsurada
+ PDF Chat	ON THE BINARY DIGITS OF ALGEBRAIC NUMBERS	2010	Hajime Kaneko
+	LIMIT POINTS OF FRACTIONAL PARTS OF GEOMETRIC SEQUENCES	2010	Hajime Kaneko
+	On the complexity of the binary expansions of algebraic irrational numbers (survey)	2010	Hajime Kaneko Takao Komatsu
+	On Normal Numbers and Powers of Algebraic Numbers	2010	Hajime Kaneko
+	Algebraic independence of real numbers with low density of nonzero digits (survey)	2010	Hajime Kaneko Takao Komatsu
+	Distribution of Geometric Sequences Modulo 1	2008	Hajime Kaneko

Common Coauthors

Coauthor	Papers Together
Thomas Stoll	17
Steffen Kopecki	12
Karam Aloui	12
Damien Jamet	12
Pierre Popoli	12
Shigeki Akiyama	10
Takao Komatsu	4
Jonathan Caalim	3
Makoto Kawashima	3
Katsunobu Imai	2
Yann Bugeaud	2
Thomas Stoll	2
Masaaki Amou	1
Nathaniel Nollen	1
Dong Han Kim	1
Teturo Kamae	1
Wolfgang Steiner	1
Masanori Katsurada	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the binary expansions of algebraic numbers	2004	David H. Bailey Jonathan M. Borwein Richard E. Crandall Carl Pomerance	8
+	On the $b$-ary expansion of an algebraic number	2007	Yann Bugeaud	6
+	On the distance from a rational power to the nearest integer	2005	Artūras Dubickas	5
+ PDF Chat	None	2002	Pietro Corvaja Umberto Zannier	4
+ PDF Chat	Perfect powers with few binary digits and related Diophantine problems, II	2012	Michael A. Bennett Yann Bugeaud Maurice Mignotte	4
+ PDF Chat	On the <i>β</i>-Expansion of an Algebraic Number in an Algebraic Base <i>β</i>	2009	Yann Bugeaud	4
+ PDF Chat	On two notions of complexity of algebraic numbers	2008	Yann Bugeaud Jan‐Hendrik Evertse	4
+ PDF Chat	ON THE BINARY DIGITS OF ALGEBRAIC NUMBERS	2010	Hajime Kaneko	4
+	Invariant densities for generalized<i>β</i>-maps	2007	Paweł Góra	3
+	PERFECT POWERS WITH THREE DIGITS	2013	Michael A. Bennett Yann Bugeaud	3
+	ARITHMETICAL PROPERTIES OF POWERS OF ALGEBRAIC NUMBERS	2006	ARTURAS DUBICKAS	3
+ PDF Chat	Stolarsky’s conjecture and the sum of digits of polynomial values	2010	Kevin G. Hare Shanta Laishram Thomas Stoll	3
+ PDF Chat	On the number of nonzero digits in the beta-expansions of algebraic numbers	2016	Hajme Kaneko	3
+ PDF Chat	Dynamics for<i>β</i>-shifts and Diophantine approximation	2007	Boris Adamczewski Yann Bugeaud	3
+	Les probabilités dénombrables et leurs applications arithmétiques	1909	M. Émile Borel	3
+ PDF Chat	Sums of digits in q-ary expansions	2014	JOHN C. SAUNDERS	3
+ PDF Chat	Finiteness of odd perfect powers with four nonzero binary digits	2013	Pietro Corvaja Umberto Zannier	3
+ PDF Chat	Perfect powers with few binary digits and related Diophantine problems	2013	Michael A. Bennett Yann Bugeaud Maurice Mignotte	3
+ PDF Chat	On Simultaneous Digital Expansions of Polynomial Values	2014	Manfred G. Madritsch Thomas Stoll	3
+ PDF Chat	Ergodic transformations from an interval into itself	1978	Tien-Yien Li James A. Yorke	3
+	Ein mengentheoretischer Satz über die Gleichverteilung modulo Eins	1935	J.F. Koksma	2
+	On the Sum and Product of Continued Fractions	1947	Marshall Hall	2
+ PDF Chat	Chiffres non nuls dans le développement en base entière des nombres algébriques irrationnels	2011	Boris Adamczewski Colin Faverjon	2
+	On the complexity of algebraic numbers I. Expansions in integer bases	2007	Boris Adamczewski Yann Bugeaud	2
+	Canonical Unit Adjoint Tensor Operators in <i>U</i>(<i>n</i>)	1970	James D. Louck L. C. Biedenharn	2
+	On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic	2005	Sangtae Jeong Min-Soo Kim Jin-Woo Son	2
+ PDF Chat	Algebraic independence of real numbers with low density of nonzero digits	2012	Hajime Kaneko	2
+	The connection between the Lagrange and Markoff spectra	1975	Thomas W. Cusick	2
+ PDF Chat	On the generalized Ramanujan-Nagell equation I	1981	Frits Beukers	2
+	Quadratic Lagrange spectrum	2016	Tomislav Pejković	2
+ PDF Chat	Transcendence of Jacobi's theta series	1996	Daniel Duverney Keiji Nishioka Kumiko Nishioka Iekata Shiokawa	2
+	On theβ-expansions of real numbers	1960	William Parry	2
+ PDF Chat	Spiraling spectra of geodesic lines in negatively curved manifolds	2010	Jouni Parkkonen Frédéric Paulin	2
+ PDF Chat	The diophantine equation x<sup>2</sup>=p<sup>a</sup>±p<sup>b</sup>+1	2004	Florian Luca	2
+ PDF Chat	Dynamical properties of the negative beta-transformation	2011	Lingmin Liao Wolfgang Steiner	2
+ PDF Chat	Transcendance « à la Liouville » de certains nombres réels	2004	Boris Adamczewski	2
+	On the beta-expansions of 1 and algebraic numbers for a Salem number beta	2014	Hajime Kaneko	2
+ PDF Chat	On the number of good approximations of algebraic numbers by algebraic numbers of bounded degree	1999	Helmut Locher	2
+ PDF Chat	Simultaneous approximation and algebraic independence of numbers	1962	Wolfgang M. Schmidt	2
+	Generalization of Hensel's lemma: Finding the roots of p-adic Lipschitz functions	2015	Ekaterina Yurova Axelsson Andrei Khrennikov	2
+	Inverse problem in the layer-by-layer growth model	2014	А. В. Шутов A. V. Maleev	2
+	Distribution of Geometric Sequences Modulo 1	2008	Hajime Kaneko	2
+	Rational approximations to algebraic numbers	1957	David Ridout	2
+	The equations 2N ± 2M ± 2L = z2	2002	László Szalay	2
+	Beta-Expansions with Negative Bases	2009	Shunji Ito Taizo Sadahiro	2
+ PDF Chat	On simultaneous binary expansions of n and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2005	Giuseppe Melfi	2
+	On gaps between numbers that are sums of three cubes	1997	Stephan Daniel	2
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	2
+	On Divisors of Fermat, Fibonacci, Lucas, and Lehmer Numbers	1977	C. L. Stewart	2
+	Distribution Modulo One and Diophantine Approximation	2012	Yann Bugeaud	2