Edit Profile (opens in new tab) Akiyama, Shigeki Co-Author Distance Author ID: akiyama.shigeki Published as: Akiyama, Shigeki; Akiyama, S. External Links: ORCID Videos: carmin.tv Documents Indexed: 126 Publications since 1988, including 8 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 67 Co-Authors with 89 Joint Publications 1,565 Co-Co-Authors all top 5 Co-Authors 37 single-authored 15 Pethő, Attila 15 Thuswaldner, Jörg Maximilian 11 Brunotte, Horst 8 Lee, Jeong-Yup 6 Kaneko, Hajime 6 Tanigawa, Yoshio 5 Loridant, Benoit 5 Steiner, Wolfgang 3 Borbély, Tibor 3 Caalim, Jonathan V. 3 Frougny, Christiane 3 Sakarovitch, Jacques 3 Scheicher, Klaus 3 Zaïmi, Toufik Mostepha 2 Bassino, Frédérique 2 Berthé, Valérie 2 Gjini, Nertila 2 Imai, Katsunobu 2 Kamae, Teturo 2 Lee, Dong-Il 2 Luo, Jun 2 Marsault, Victor 2 Nagai, Yasushi 2 Rao, Hui 2 Siegel, Anne 1 Abe, Toshikazu 1 Ahara, Kazushi 1 Araki, Yoshiaki 1 Barat, Guy 1 Barge, Marcy M. 1 Dorfer, Gerhard 1 Drungilas, Paulius 1 Egami, Shigeki 1 Evertse, Jan-Hendrik 1 Feng, De-Jun 1 Gähler, Franz 1 Großkopf, Paul 1 Harriss, Edmund Orme 1 Hatori, Osamu 1 Hayashi, Hiroko 1 Hichri, Hachem 1 Hiramatsu, Toyokazu 1 Ishikawa, Hideaki 1 Jankauskas, Jonas 1 Jiang, Yunping 1 Kamiya, Yuichi 1 Kempton, Tom 1 Komatsu, Kazushi 1 Komornik, Vilmos 1 Korfanty, Emily R. 1 Kwon, DoYong 1 Luca, Florian 1 Matsumoto, Kohji 1 Mercat, Paul 1 Murata, Leo 1 Okazaki, Ryotaro 1 Persson, Tomas 1 Sadahiro, Taizo 1 Shirasaka, Masayuki 1 Sugita, Hiroshi 1 Suzuki, Tomonari 1 Tan, Bo 1 Wen, Fan 1 Wheeler, John C. 1 Williams, Paul T. 1 Winkler, Reinhard 1 Xu, Yanli 1 Yuasa, Hisatoshi 1 Zhang, Shuqin all top 5 Serials 8 RIMS Kokyuroku 6 Journal of Number Theory 5 Acta Arithmetica 5 Journal of the Mathematical Society of Japan 4 Ergodic Theory and Dynamical Systems 4 Discrete & Computational Geometry 3 Advances in Mathematics 3 Nagoya Mathematical Journal 3 Indagationes Mathematicae. New Series 3 Discrete Mathematics and Theoretical Computer Science. DMTCS 3 Uniform Distribution Theory 2 Nonlinearity 2 Periodica Mathematica Hungarica 2 Geometriae Dedicata 2 Hiroshima Mathematical Journal 2 Monatshefte für Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Acta Mathematica Hungarica 2 Linear Algebra and its Applications 2 Discrete and Continuous Dynamical Systems 2 Journal of Fractal Geometry 1 Astrophysics and Space Science 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Japanese Journal of Mathematics. New Series 1 Publicationes Mathematicae Debrecen 1 Theoretical Computer Science 1 Tsukuba Journal of Mathematics 1 Topology and its Applications 1 European Journal of Combinatorics 1 Kobe Journal of Mathematics 1 Information and Computation 1 Journal of the Ramanujan Mathematical Society 1 Mathematica Pannonica 1 IMRN. International Mathematics Research Notices 1 Journal de Théorie des Nombres de Bordeaux 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 The Ramanujan Journal 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 Nihonkai Mathematical Journal 1 Central European Journal of Mathematics 1 Advanced Studies in Pure Mathematics 1 Lecture Notes in Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Science China. Mathematics 1 Acta Crystallographica. Section A 1 Research in Number Theory 1 Actes des Rencontres du C.I.R.M. all top 5 Fields 94 Number theory (11-XX) 45 Dynamical systems and ergodic theory (37-XX) 29 Convex and discrete geometry (52-XX) 19 Measure and integration (28-XX) 14 Computer science (68-XX) 5 General topology (54-XX) 4 Combinatorics (05-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 994 times in 554 Documents Cited by ▼ Year ▼ Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085 Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio 79 2001 On the Pisot substitution conjecture. Zbl 1376.37043 Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A. 42 2015 Generalized radix representations and dynamical systems. I. Zbl 1110.11003 Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 42 2005 Powers of rationals modulo 1 and rational base number systems. Zbl 1214.11089 Akiyama, Shigeki; Frougny, Christiane; Sakarovitch, Jacques 41 2008 Cubic Pisot units with finite beta expansions. Zbl 1001.11038 Akiyama, Shigeki 40 2000 Multiple zeta values at non-positive integers. Zbl 1002.11069 Akiyama, Shigeki; Tanigawa, Yoshio 40 2001 A survey on topological properties of tiles related to number systems. Zbl 1073.37017 Akiyama, Shigeki; Thuswaldner, Jörg M. 35 2004 On the boundary of self-affine tilings generated by Pisot numbers. Zbl 1032.11033 Akiyama, Shigeki 35 2002 Self affine tiling and Pisot numeration system. Zbl 0999.11065 Akiyama, Shigeki 32 1999 Pisot numbers and greedy algorithm. Zbl 0919.11063 Akiyama, Shigeki 27 1998 Generalized radix representations and dynamical systems. II. Zbl 1142.11055 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 25 2006 The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004 Akiyama, Shigeki; Thuswaldner, J. M. 23 2005 On analytic continuation of multiple \(L\)-functions and related zeta functions. Zbl 1028.11058 Akiyama, Shigeki; Ishikawa, Hideaki 21 2002 Discrete spectra and Pisot numbers. Zbl 1285.11106 Akiyama, Shigeki; Komornik, Vilmos 21 2013 Symmetric shift radix systems and finite expansions. Zbl 1164.11007 Akiyama, Shigeki; Scheicher, Klaus 18 2007 Boundary parametrization of self-affine tiles. Zbl 1226.28006 Akiyama, Shigeki; Loridant, Benoît 17 2011 On canonical number systems. Zbl 0988.68101 Akiyama, Shigeki; Pethő, Attila 17 2002 On the connectedness of self-affine attractors. Zbl 1063.37008 Akiyama, Shigeki; Gjini, Nertila 17 2004 Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005 Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne 17 2008 New criteria for canonical number systems. Zbl 1049.11008 Akiyama, Shigeki; Rao, Hui 17 2004 A certain finiteness property of Pisot number systems. Zbl 1052.11055 Akiyama, Shigeki; Rao, Hui; Steiner, Wolfgang 17 2004 Topological properties of two-dimensional number systems. Zbl 1012.11072 Akiyama, Shigeki; Thuswaldner, Jörg M. 16 2000 Calculation of values of \(L\)-functions associated to elliptic curves. Zbl 0923.11100 Akiyama, Shigeki; Tanigawa, Yoshio 16 1999 On the boundary connectedness of connected tiles. Zbl 1070.37010 Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M. 15 2004 Algorithm for determining pure pointedness of self-affine tilings. Zbl 1219.37013 Akiyama, Shigeki; Lee, Jeong-Yup 15 2011 A self similar tiling generated by the minimal Pisot number. Zbl 1024.11066 Akiyama, Shigeki; Sadahiro, Taizo 15 1998 On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001 Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R. 14 2009 Connectedness of number theoretic tilings. Zbl 1162.11366 Akiyama, Shigeki; Gjini, Nertila 13 2005 Isometries of the special orthogonal group. Zbl 1297.47038 Abe, Toshikazu; Akiyama, Shigeki; Hatori, Osamu 11 2013 Periodicity of certain piecewise affine planar maps. Zbl 1209.37018 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 11 2008 Boundary parametrization of planar self-affine tiles with collinear digit set. Zbl 1209.28004 Akiyama, Shigeki; Loridant, Benoît 10 2010 From number systems to shift radix systems. Zbl 1217.11008 Akiyama, Shigeki; Scheicher, Klaus 9 2005 Height reducing problem on algebraic integers. Zbl 1290.11144 Akiyama, Shigeki; Drungilas, Paulius; Jankauskas, Jonas 9 2012 Intersecting two-dimensional fractals with lines. Zbl 1111.11006 Akiyama, Shigeki; Scheicher, Klaus 8 2005 Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert. Zbl 1021.11005 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila 8 2003 Positive finiteness of number systems. Zbl 1211.11011 Akiyama, Shigeki 8 2006 Comments on the height reducing property. Zbl 1356.11074 Akiyama, Shigeki; Zaimi, Toufik 7 2013 On the distribution of polynomials with bounded roots. I: Polynomials with real coefficients. Zbl 1305.33006 Akiyama, Shigeki; Pethő, Attila 7 2014 Mahler’s \(Z\)-number and \(3/2\) number systems. Zbl 1212.11073 Akiyama, Shigeki 7 2008 Remarks on a conjecture on certain integer sequences. Zbl 1121.11014 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 7 2006 Constructions of Pisot and Salem numbers with flat palindromes. Zbl 1178.11069 Akiyama, Shigeki; Kwon, Do Yong 7 2008 On the Hausdorff dimension of Bernoulli convolutions. Zbl 1483.28004 Akiyama, Shigeki; Feng, De-Jun; Kempton, Tom; Persson, Tomas 7 2020 On the distribution of polynomials with bounded roots. II: Polynomials with integer coefficients. Zbl 1384.11081 Akiyama, Shigeki; Pethő, Attila 6 2014 Overlap coincidence to strong coincidence in substitution tiling dynamics. Zbl 1348.37027 Akiyama, Shigeki; Lee, Jeong-Yup 6 2014 Lehmer numbers and an asymptotic formula for \(\pi\). Zbl 0708.11016 Akiyama, Shigeki 6 1990 Comments on the height reducing property. II. Zbl 1308.11097 Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 6 2015 Spiral Delone sets and three distance theorem. Zbl 1487.37050 Akiyama, Shigeki 6 2020 A criterion to estimate the least common multiple of sequences and asymptotic formulas for \(\zeta(3)\) arising from recurrence relation of an elliptic function. Zbl 0860.11044 Akiyama, Shigeki 5 1996 On the least common multiple of Lucas subsequences. Zbl 1306.11002 Akiyama, Shigeki; Luca, Florian 5 2013 Generalized radix representations and dynamical systems. IV. Zbl 1190.11041 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 On a generalization of the radix representation – a survey. Zbl 1135.11007 Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 5 2004 Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096 Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 5 2015 Generalized radix representations and dynamical systems. III. Zbl 1217.11007 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Salem numbers and uniform distribution modulo 1. Zbl 1072.11053 Akiyama, Shigeki; Tanigawa, Yoshio 5 2004 On the pure Jacobi sums. Zbl 0849.11094 Akiyama, Shigeki 4 1996 A new type of inclusion exclusion principle for sequences and asymptotic formulas for \(\zeta(k)\). Zbl 0789.11010 Akiyama, Shigeki 4 1993 Pentagonal domain exchange. Zbl 1316.37024 Akiyama, Shigeki; Harriss, Edmund 4 2013 Discretized rotation has infinitely many periodic orbits. Zbl 1351.37281 Akiyama, Shigeki; Pethő, Attila 4 2013 On some dimension formula for automorphic forms of weight one. III. Zbl 0655.10027 Hiramatsu, Toyokazu; Akiyama, Shigeki 3 1988 The dynamical norm conjecture and Pisot tilings. Zbl 0951.11551 Akiyama, Shigeki 3 1999 Symbolic dynamical system and number theoretical tilings. Zbl 1160.37315 Akiyama, Shigeki 3 2008 A note on aperiodic Ammann tiles. Zbl 1252.52018 Akiyama, Shigeki 3 2012 Rotational beta expansion: ergodicity and soficness. Zbl 1379.37010 Akiyama, Shigeki; Caalim, Jonathan 3 2017 Higher order oscillation and uniform distribution. Zbl 1479.11134 Akiyama, Shigeki; Jiang, Yunping 3 2019 Topology of planar self-affine tiles with collinear digit set. Zbl 1470.28005 Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg 3 2021 Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Zbl 1454.37001 3 2020 A note on Hecke’s absolute invariants. Zbl 0754.11013 Akiyama, Shigeki 2 1992 The computation of overlap coincidence in Taylor-Socolar substitution tiling. Zbl 1455.52021 Akiyama, Shigeki; Lee, Jeong-Yup 2 2014 Determining pure discrete spectrum for some self-affine tilings. Zbl 1400.37019 Akiyama, Shigeki; Gähler, Franz; Lee, Jeong-Yup 2 2014 Similar dissection of sets. Zbl 1226.52006 Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg 2 2011 On nearly linear recurrence sequences. Zbl 1414.11020 Akiyama, Shigeki; Evertse, Jan-Hendrik; Pethő, Attila 2 2017 Strong coincidence and overlap coincidence. Zbl 1351.52025 Akiyama, Shigeki 2 2016 A family of non-sofic beta expansions. Zbl 1355.37017 Akiyama, Shigeki 2 2016 Periodic expansion of one by Salem numbers. Zbl 1531.37027 Akiyama, Shigeki; Hichri, Hachem 2 2023 Refinements of class number formulas for quadratic fields. Zbl 0973.11519 Akiyama, Shigeki 2 1994 Selberg trace formula for odd weight. I, II. Zbl 0672.10021 Akiyama, Shigeki 2 1988 Arithmetic Meyer sets and finite automata. Zbl 1106.11028 Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 2 2005 Invariant measure of rotational beta expansion and Tarski’s Plank problem. Zbl 1365.37003 Akiyama, Shigeki; Caalim, Jonathan 2 2017 Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers. Zbl 1466.11046 Akiyama, Shigeki; Kaneko, Hajime 2 2021 Yet another characterization of the Pisot substitution conjecture. Zbl 1458.37015 Mercat, Paul; Akiyama, Shigeki 2 2020 Corona limits of tilings: periodic case. Zbl 1416.52013 Akiyama, Shigeki; Caalim, Jonathan; Imai, Katsunobu; Kaneko, Hajime 2 2019 The Selberg trace formula for modular correspondences. Zbl 0702.11035 Akiyama, Shigeki; Tanigawa, Yoshio 1 1990 Selberg trace formula for odd weight. II. Zbl 0709.11504 Akiyama, Shigeki 1 1988 Browder’s convergence for one-parameter nonexpansive semigroups. Zbl 1259.47071 Akiyama, Shigeki; Suzuki, Tomonari 1 2012 The corona limit of Penrose tilings is a regular decagon. Zbl 1350.68194 Akiyama, Shigeki; Imai, Katsunobu 1 2016 Asymptotic formula for balanced words. Zbl 1492.11137 Akiyama, Shigeki 1 2022 Calculation of elliptic \(L\) functions in the critical strip. Zbl 1043.11531 Akiyama, Shigeki; Tanigawa, Yoshio 1 1996 On the \(2^n\) divisibility of the Fourier coefficients of \(J_q\) functions and the Atkin conjecture for \(p=2\). Zbl 0978.11019 Akiyama, Shigeki 1 1993 Automata for arithmetic Meyer sets. Zbl 1196.68116 Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 1 2004 Reducible cubic CNS polynomials. Zbl 1164.11006 Akiyama, Shigeki; Brunotte, Horst; Pethö, Attila 1 2007 Recent progress related to the classification of canonical number systems. Zbl 1127.11309 Akiyama, Shigeki 1 2002 Almost uniform distribution modulo 1 and the distribution of primes. Zbl 0902.11027 Akiyama, S. 1 1998 On arithmetic progressions in non-periodic self-affine tilings. Zbl 1503.37036 Nagai, Yasushi; Akiyama, Shigeki; Lee, Jeong-Yup 1 2022 Primitive matrices over polynomial semirings. Zbl 1242.15030 Akiyama, Shigeki; Brunotte, Horst 1 2012 Boundary parametrization and the topology of tiles. Zbl 1369.28007 Akiyama, Shigeki; Loridant, Benoît 1 2017 Finiteness and periodicity of beta expansions – number theoretical and dynamical open problems. Zbl 1474.11022 Akiyama, Shigeki 1 2009 Curious congruences for cyclotomic polynomials. Zbl 1503.11007 Akiyama, Shigeki; Kaneko, Hajime 1 2022 Generic point equivalence and Pisot numbers. Zbl 1467.37039 Akiyama, Shigeki; Kaneko, Hajime; Kim, Dong Han 1 2020 Periodic expansion of one by Salem numbers. Zbl 1531.37027 Akiyama, Shigeki; Hichri, Hachem 2 2023 Asymptotic formula for balanced words. Zbl 1492.11137 Akiyama, Shigeki 1 2022 On arithmetic progressions in non-periodic self-affine tilings. Zbl 1503.37036 Nagai, Yasushi; Akiyama, Shigeki; Lee, Jeong-Yup 1 2022 Curious congruences for cyclotomic polynomials. Zbl 1503.11007 Akiyama, Shigeki; Kaneko, Hajime 1 2022 Topology of planar self-affine tiles with collinear digit set. Zbl 1470.28005 Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg 3 2021 Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers. Zbl 1466.11046 Akiyama, Shigeki; Kaneko, Hajime 2 2021 On the Hausdorff dimension of Bernoulli convolutions. Zbl 1483.28004 Akiyama, Shigeki; Feng, De-Jun; Kempton, Tom; Persson, Tomas 7 2020 Spiral Delone sets and three distance theorem. Zbl 1487.37050 Akiyama, Shigeki 6 2020 Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Zbl 1454.37001 3 2020 Yet another characterization of the Pisot substitution conjecture. Zbl 1458.37015 Mercat, Paul; Akiyama, Shigeki 2 2020 Generic point equivalence and Pisot numbers. Zbl 1467.37039 Akiyama, Shigeki; Kaneko, Hajime; Kim, Dong Han 1 2020 Higher order oscillation and uniform distribution. Zbl 1479.11134 Akiyama, Shigeki; Jiang, Yunping 3 2019 Corona limits of tilings: periodic case. Zbl 1416.52013 Akiyama, Shigeki; Caalim, Jonathan; Imai, Katsunobu; Kaneko, Hajime 2 2019 Rotational beta expansion: ergodicity and soficness. Zbl 1379.37010 Akiyama, Shigeki; Caalim, Jonathan 3 2017 On nearly linear recurrence sequences. Zbl 1414.11020 Akiyama, Shigeki; Evertse, Jan-Hendrik; Pethő, Attila 2 2017 Invariant measure of rotational beta expansion and Tarski’s Plank problem. Zbl 1365.37003 Akiyama, Shigeki; Caalim, Jonathan 2 2017 Boundary parametrization and the topology of tiles. Zbl 1369.28007 Akiyama, Shigeki; Loridant, Benoît 1 2017 Strong coincidence and overlap coincidence. Zbl 1351.52025 Akiyama, Shigeki 2 2016 A family of non-sofic beta expansions. Zbl 1355.37017 Akiyama, Shigeki 2 2016 The corona limit of Penrose tilings is a regular decagon. Zbl 1350.68194 Akiyama, Shigeki; Imai, Katsunobu 1 2016 On the Pisot substitution conjecture. Zbl 1376.37043 Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A. 42 2015 Comments on the height reducing property. II. Zbl 1308.11097 Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 6 2015 Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096 Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 5 2015 On the distribution of polynomials with bounded roots. I: Polynomials with real coefficients. Zbl 1305.33006 Akiyama, Shigeki; Pethő, Attila 7 2014 On the distribution of polynomials with bounded roots. II: Polynomials with integer coefficients. Zbl 1384.11081 Akiyama, Shigeki; Pethő, Attila 6 2014 Overlap coincidence to strong coincidence in substitution tiling dynamics. Zbl 1348.37027 Akiyama, Shigeki; Lee, Jeong-Yup 6 2014 The computation of overlap coincidence in Taylor-Socolar substitution tiling. Zbl 1455.52021 Akiyama, Shigeki; Lee, Jeong-Yup 2 2014 Determining pure discrete spectrum for some self-affine tilings. Zbl 1400.37019 Akiyama, Shigeki; Gähler, Franz; Lee, Jeong-Yup 2 2014 Discrete spectra and Pisot numbers. Zbl 1285.11106 Akiyama, Shigeki; Komornik, Vilmos 21 2013 Isometries of the special orthogonal group. Zbl 1297.47038 Abe, Toshikazu; Akiyama, Shigeki; Hatori, Osamu 11 2013 Comments on the height reducing property. Zbl 1356.11074 Akiyama, Shigeki; Zaimi, Toufik 7 2013 On the least common multiple of Lucas subsequences. Zbl 1306.11002 Akiyama, Shigeki; Luca, Florian 5 2013 Pentagonal domain exchange. Zbl 1316.37024 Akiyama, Shigeki; Harriss, Edmund 4 2013 Discretized rotation has infinitely many periodic orbits. Zbl 1351.37281 Akiyama, Shigeki; Pethő, Attila 4 2013 Height reducing problem on algebraic integers. Zbl 1290.11144 Akiyama, Shigeki; Drungilas, Paulius; Jankauskas, Jonas 9 2012 A note on aperiodic Ammann tiles. Zbl 1252.52018 Akiyama, Shigeki 3 2012 Browder’s convergence for one-parameter nonexpansive semigroups. Zbl 1259.47071 Akiyama, Shigeki; Suzuki, Tomonari 1 2012 Primitive matrices over polynomial semirings. Zbl 1242.15030 Akiyama, Shigeki; Brunotte, Horst 1 2012 Boundary parametrization of self-affine tiles. Zbl 1226.28006 Akiyama, Shigeki; Loridant, Benoît 17 2011 Algorithm for determining pure pointedness of self-affine tilings. Zbl 1219.37013 Akiyama, Shigeki; Lee, Jeong-Yup 15 2011 Similar dissection of sets. Zbl 1226.52006 Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg 2 2011 Boundary parametrization of planar self-affine tiles with collinear digit set. Zbl 1209.28004 Akiyama, Shigeki; Loridant, Benoît 10 2010 On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001 Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R. 14 2009 Finiteness and periodicity of beta expansions – number theoretical and dynamical open problems. Zbl 1474.11022 Akiyama, Shigeki 1 2009 Powers of rationals modulo 1 and rational base number systems. Zbl 1214.11089 Akiyama, Shigeki; Frougny, Christiane; Sakarovitch, Jacques 41 2008 Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005 Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne 17 2008 Periodicity of certain piecewise affine planar maps. Zbl 1209.37018 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 11 2008 Mahler’s \(Z\)-number and \(3/2\) number systems. Zbl 1212.11073 Akiyama, Shigeki 7 2008 Constructions of Pisot and Salem numbers with flat palindromes. Zbl 1178.11069 Akiyama, Shigeki; Kwon, Do Yong 7 2008 Generalized radix representations and dynamical systems. IV. Zbl 1190.11041 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Generalized radix representations and dynamical systems. III. Zbl 1217.11007 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Symbolic dynamical system and number theoretical tilings. Zbl 1160.37315 Akiyama, Shigeki 3 2008 Symmetric shift radix systems and finite expansions. Zbl 1164.11007 Akiyama, Shigeki; Scheicher, Klaus 18 2007 Reducible cubic CNS polynomials. Zbl 1164.11006 Akiyama, Shigeki; Brunotte, Horst; Pethö, Attila 1 2007 Generalized radix representations and dynamical systems. II. Zbl 1142.11055 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 25 2006 Positive finiteness of number systems. Zbl 1211.11011 Akiyama, Shigeki 8 2006 Remarks on a conjecture on certain integer sequences. Zbl 1121.11014 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 7 2006 Generalized radix representations and dynamical systems. I. Zbl 1110.11003 Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 42 2005 The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004 Akiyama, Shigeki; Thuswaldner, J. M. 23 2005 Connectedness of number theoretic tilings. Zbl 1162.11366 Akiyama, Shigeki; Gjini, Nertila 13 2005 From number systems to shift radix systems. Zbl 1217.11008 Akiyama, Shigeki; Scheicher, Klaus 9 2005 Intersecting two-dimensional fractals with lines. Zbl 1111.11006 Akiyama, Shigeki; Scheicher, Klaus 8 2005 Arithmetic Meyer sets and finite automata. Zbl 1106.11028 Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 2 2005 A survey on topological properties of tiles related to number systems. Zbl 1073.37017 Akiyama, Shigeki; Thuswaldner, Jörg M. 35 2004 On the connectedness of self-affine attractors. Zbl 1063.37008 Akiyama, Shigeki; Gjini, Nertila 17 2004 New criteria for canonical number systems. Zbl 1049.11008 Akiyama, Shigeki; Rao, Hui 17 2004 A certain finiteness property of Pisot number systems. Zbl 1052.11055 Akiyama, Shigeki; Rao, Hui; Steiner, Wolfgang 17 2004 On the boundary connectedness of connected tiles. Zbl 1070.37010 Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M. 15 2004 On a generalization of the radix representation – a survey. Zbl 1135.11007 Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 5 2004 Salem numbers and uniform distribution modulo 1. Zbl 1072.11053 Akiyama, Shigeki; Tanigawa, Yoshio 5 2004 Automata for arithmetic Meyer sets. Zbl 1196.68116 Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 1 2004 Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert. Zbl 1021.11005 Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila 8 2003 On the boundary of self-affine tilings generated by Pisot numbers. Zbl 1032.11033 Akiyama, Shigeki 35 2002 On analytic continuation of multiple \(L\)-functions and related zeta functions. Zbl 1028.11058 Akiyama, Shigeki; Ishikawa, Hideaki 21 2002 On canonical number systems. Zbl 0988.68101 Akiyama, Shigeki; Pethő, Attila 17 2002 Recent progress related to the classification of canonical number systems. Zbl 1127.11309 Akiyama, Shigeki 1 2002 Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085 Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio 79 2001 Multiple zeta values at non-positive integers. Zbl 1002.11069 Akiyama, Shigeki; Tanigawa, Yoshio 40 2001 Cubic Pisot units with finite beta expansions. Zbl 1001.11038 Akiyama, Shigeki 40 2000 Topological properties of two-dimensional number systems. Zbl 1012.11072 Akiyama, Shigeki; Thuswaldner, Jörg M. 16 2000 Self affine tiling and Pisot numeration system. Zbl 0999.11065 Akiyama, Shigeki 32 1999 Calculation of values of \(L\)-functions associated to elliptic curves. Zbl 0923.11100 Akiyama, Shigeki; Tanigawa, Yoshio 16 1999 The dynamical norm conjecture and Pisot tilings. Zbl 0951.11551 Akiyama, Shigeki 3 1999 Pisot numbers and greedy algorithm. Zbl 0919.11063 Akiyama, Shigeki 27 1998 A self similar tiling generated by the minimal Pisot number. Zbl 1024.11066 Akiyama, Shigeki; Sadahiro, Taizo 15 1998 Almost uniform distribution modulo 1 and the distribution of primes. Zbl 0902.11027 Akiyama, S. 1 1998 A criterion to estimate the least common multiple of sequences and asymptotic formulas for \(\zeta(3)\) arising from recurrence relation of an elliptic function. Zbl 0860.11044 Akiyama, Shigeki 5 1996 On the pure Jacobi sums. Zbl 0849.11094 Akiyama, Shigeki 4 1996 Calculation of elliptic \(L\) functions in the critical strip. Zbl 1043.11531 Akiyama, Shigeki; Tanigawa, Yoshio 1 1996 Refinements of class number formulas for quadratic fields. Zbl 0973.11519 Akiyama, Shigeki 2 1994 A new type of inclusion exclusion principle for sequences and asymptotic formulas for \(\zeta(k)\). Zbl 0789.11010 Akiyama, Shigeki 4 1993 On the \(2^n\) divisibility of the Fourier coefficients of \(J_q\) functions and the Atkin conjecture for \(p=2\). Zbl 0978.11019 Akiyama, Shigeki 1 1993 A note on Hecke’s absolute invariants. Zbl 0754.11013 Akiyama, Shigeki 2 1992 Lehmer numbers and an asymptotic formula for \(\pi\). Zbl 0708.11016 Akiyama, Shigeki 6 1990 The Selberg trace formula for modular correspondences. Zbl 0702.11035 Akiyama, Shigeki; Tanigawa, Yoshio 1 1990 On some dimension formula for automorphic forms of weight one. III. Zbl 0655.10027 Hiramatsu, Toyokazu; Akiyama, Shigeki 3 1988 Selberg trace formula for odd weight. I, II. Zbl 0672.10021 Akiyama, Shigeki 2 1988 Selberg trace formula for odd weight. II. Zbl 0709.11504 Akiyama, Shigeki 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 564 Authors 42 Thuswaldner, Jörg Maximilian 40 Akiyama, Shigeki 20 Dubickas, Artūras 16 Loridant, Benoit 14 Berthé, Valérie 14 Matsumoto, Kohji 14 Pethő, Attila 13 Pelantová, Edita 12 Masáková, Zuzana 12 Onozuka, Tomokazu 12 Steiner, Wolfgang 11 Tanigawa, Yoshio 10 Surer, Paul 10 Tsumura, Hirofumi 10 Vávra, Tomáš 9 Luo, Jun 9 Rao, Hui 9 Scheicher, Klaus 8 Baake, Michael 7 Brunotte, Horst 7 Frougny, Christiane 7 Jankauskas, Jonas 7 Lee, Jeong-Yup 7 Ngai, Sze-Man 7 Sirvent, Víctor F. 6 Grimm, Uwe 6 Jiang, Kan 6 Lau, Kasing 6 Leung, King-Shun 6 Luo, Jun Jason 6 Madritsch, Manfred G. 6 Murahara, Hideki 6 Siegel, Anne 6 Zaïmi, Toufik Mostepha 5 Barge, Marcy M. 5 Komori, Yasushi 5 Liu, Chuntai 5 Rigo, Michel 5 Shutov, Anton V. 4 Baker, Simon 4 Barnsley, Michael Fielding 4 Dajani, Karma 4 Deng, Guotai 4 Drungilas, Paulius 4 Hbaib, Mohamed 4 Ito, Shunji 4 Jolivet, Timo 4 Kaneko, Hajime 4 Kanemitsu, Shigeru 4 Kirschenhofer, Peter 4 Kiuchi, Isao 4 Labbé, Sébastien 4 Minervino, Milton 4 Okamoto, Takuya 4 Saha, Biswajyoti 4 Sakarovitch, Jacques 4 Sanna, Carlo 4 Solomyak, Boris 4 Vince, Andrew 4 Viswanadham, G. K. 4 Vivaldi, Franco 4 Xi, Lifeng 4 Zhang, Shuqin 3 Adiceam, Faustin 3 Allouche, Jean-Paul Simon 3 Bernat, Julien 3 Bruin, Henk 3 Charlier, Emilie 3 Conner, Gregory R. 3 Damanik, David 3 Gähler, Franz 3 Hejda, Tomáš 3 Hirose, Minoru 3 Kalle, Charlene 3 Kempton, Tom 3 Kirat, Ibrahim 3 Kong, Derong 3 Kwon, DoYong 3 Mañibo, Neil 3 Marsault, Victor 3 Masri, Riad 3 Nakamura, Takashi 3 Pankowski, Łukasz 3 Priebe Frank, Natalie 3 Sadahiro, Taizo 3 Sadaoui, Boualem 3 Sahoo, Dilip Kumar 3 Salehi, Sadegh 3 Sasaki, Yoshitaka 3 Sellami, Tarek 3 Srivastava, Hari Mohan 3 Taghavi Jelodar, Ali 3 Takamizo, Fumichika 3 van de Woestijne, Christiaan E. 3 Vignat, Christophe 3 Yang, Yamin 3 Zhao, Jianqiang 3 Ziegler, Volker 2 Alaca, Şaban 2 Bandt, Christoph ...and 464 more Authors all top 5 Cited in 168 Serials 36 Journal of Number Theory 21 Monatshefte für Mathematik 18 Indagationes Mathematicae. New Series 16 Theoretical Computer Science 16 Acta Mathematica Hungarica 14 The Ramanujan Journal 12 Advances in Mathematics 12 International Journal of Number Theory 11 Journal of Mathematical Analysis and Applications 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 10 Discrete & Computational Geometry 10 Research in Number Theory 9 Annales de l’Institut Fourier 9 Geometriae Dedicata 9 Ergodic Theory and Dynamical Systems 9 Journal de Théorie des Nombres de Bordeaux 8 Topology and its Applications 7 Osaka Journal of Mathematics 6 Israel Journal of Mathematics 6 Acta Arithmetica 6 Archiv der Mathematik 6 Functiones et Approximatio. Commentarii Mathematici 6 Mathematische Zeitschrift 6 Fractals 6 Discrete and Continuous Dynamical Systems 5 Bulletin de la Société Mathématique de France 5 Nagoya Mathematical Journal 5 Tokyo Journal of Mathematics 5 Advances in Applied Mathematics 5 Linear Algebra and its Applications 5 Experimental Mathematics 5 Integers 4 Discrete Mathematics 4 Nonlinearity 4 Journal of Algebra 4 Manuscripta Mathematica 4 Tsukuba Journal of Mathematics 4 Journal of Mathematical Sciences (New York) 4 Finite Fields and their Applications 3 Lithuanian Mathematical Journal 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Periodica Mathematica Hungarica 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Bulletin of the London Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy. Series A 3 Quaestiones Mathematicae 3 Journal of Symbolic Computation 3 St. Petersburg Mathematical Journal 3 Journal of Integer Sequences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Science China. Mathematics 3 Journal of Fractal Geometry 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Letters in Mathematical Physics 2 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 Kodai Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Bulletin des Sciences Mathématiques 2 Journal of Difference Equations and Applications 2 Chaos 2 Journal of the European Mathematical Society (JEMS) 2 RAIRO. Theoretical Informatics and Applications 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Oberwolfach Reports 2 Chebyshevskiĭ Sbornik 2 Journal of Modern Dynamics 2 RAIRO. Theoretical Informatics and Applications 2 Communications in Mathematics 2 European Journal of Mathematics 2 Actes des Rencontres du C.I.R.M. 1 Analysis Mathematica 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Nuclear Physics. B 1 Physica A 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Computing 1 Czechoslovak Mathematical Journal 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal ...and 68 more Serials all top 5 Cited in 47 Fields 387 Number theory (11-XX) 142 Dynamical systems and ergodic theory (37-XX) 116 Measure and integration (28-XX) 90 Convex and discrete geometry (52-XX) 57 Computer science (68-XX) 36 Combinatorics (05-XX) 23 General topology (54-XX) 17 Group theory and generalizations (20-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Field theory and polynomials (12-XX) 12 Manifolds and cell complexes (57-XX) 10 Functions of a complex variable (30-XX) 9 Mathematical logic and foundations (03-XX) 9 Special functions (33-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Algebraic topology (55-XX) 8 Probability theory and stochastic processes (60-XX) 7 Geometry (51-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Functional analysis (46-XX) 5 Associative rings and algebras (16-XX) 5 Nonassociative rings and algebras (17-XX) 5 Sequences, series, summability (40-XX) 5 Operator theory (47-XX) 5 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 3 Commutative algebra (13-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year