Edit Profile (opens in new tab) Akiyama, Shigeki Compute Distance To: Compute Author ID: akiyama.shigeki Published as: Akiyama, Shigeki; Akiyama, S. External Links: ORCID Documents Indexed: 112 Publications since 1988 3 Contributions as Editor Co-Authors: 54 Co-Authors with 76 Joint Publications 1,320 Co-Co-Authors all top 5 Co-Authors 36 single-authored 15 Pethő, Attila 15 Thuswaldner, Jörg Maximilian 11 Brunotte, Horst 6 Tanigawa, Yoshio 5 Lee, Jeong-Yup 4 Kaneko, Hajime 4 Loridant, Benoit 4 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 Luo, Jun 2 Marsault, Victor 2 Rao, Hui 2 Siegel, Anne 1 Abe, Toshikazu 1 Ahara, Kazushi 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 Harriss, Edmund Orme 1 Hatori, Osamu 1 Hayashi, Hiroko 1 Hiramatsu, Toyokazu 1 Ishikawa, Hideaki 1 Jankauskas, Jonas 1 Jiang, Yunping 1 Kempton, Tom 1 Komatsu, Kazushi 1 Komornik, Vilmos 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 Wheeler, John C. 1 Williams, Paul T. 1 Winkler, Reinhard all top 5 Serials 8 RIMS Kokyuroku 6 Journal of Number Theory 5 Acta Arithmetica 5 Journal of the Mathematical Society of Japan 3 Advances in Mathematics 3 Nagoya Mathematical Journal 3 Discrete & Computational Geometry 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 Ergodic Theory and Dynamical Systems 2 Acta Mathematica Hungarica 2 Linear Algebra and its Applications 2 Discrete and Continuous Dynamical Systems 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 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 Journal of Fractal Geometry 1 Actes des Rencontres du C.I.R.M. all top 5 Fields 90 Number theory (11-XX) 38 Dynamical systems and ergodic theory (37-XX) 24 Convex and discrete geometry (52-XX) 18 Measure and integration (28-XX) 12 Computer science (68-XX) 5 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-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) 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 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 810 times in 436 Documents Cited by ▼ Year ▼ Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio 66 2001 Cubic Pisot units with finite beta expansions. Zbl 1001.11038Akiyama, Shigeki 36 2000 Generalized radix representations and dynamical systems. I. Zbl 1110.11003Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 35 2005 On the boundary of self-affine tilings generated by Pisot numbers. Zbl 1032.11033Akiyama, Shigeki 35 2002 Powers of rationals modulo 1 and rational base number systems. Zbl 1214.11089Akiyama, Shigeki; Frougny, Christiane; Sakarovitch, Jacques 34 2008 Multiple zeta values at non-positive integers. Zbl 1002.11069Akiyama, Shigeki; Tanigawa, Yoshio 32 2001 A survey on topological properties of tiles related to number systems. Zbl 1073.37017Akiyama, Shigeki; Thuswaldner, Jörg M. 31 2004 Self affine tiling and Pisot numeration system. Zbl 0999.11065Akiyama, Shigeki 30 1999 On the Pisot substitution conjecture. Zbl 1376.37043Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A. 27 2015 Generalized radix representations and dynamical systems. II. Zbl 1142.11055Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 21 2006 The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004Akiyama, Shigeki; Thuswaldner, J. M. 20 2005 Pisot numbers and greedy algorithm. Zbl 0919.11063Akiyama, Shigeki 18 1998 On analytic continuation of multiple \(L\)-functions and related zeta functions. Zbl 1028.11058Akiyama, Shigeki; Ishikawa, Hideaki 17 2002 Boundary parametrization of self-affine tiles. Zbl 1226.28006Akiyama, Shigeki; Loridant, Benoît 16 2011 A certain finiteness property of Pisot number systems. Zbl 1052.11055Akiyama, Shigeki; Rao, Hui; Steiner, Wolfgang 16 2004 Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne 16 2008 Symmetric shift radix systems and finite expansions. Zbl 1164.11007Akiyama, Shigeki; Scheicher, Klaus 16 2007 New criteria for canonical number systems. Zbl 1049.11008Akiyama, Shigeki; Rao, Hui 15 2004 On the connectedness of self-affine attractors. Zbl 1063.37008Akiyama, Shigeki; Gjini, Nertila 15 2004 Discrete spectra and Pisot numbers. Zbl 1285.11106Akiyama, Shigeki; Komornik, Vilmos 15 2013 On canonical number systems. Zbl 0988.68101Akiyama, Shigeki; Pethő, Attila 15 2002 A self similar tiling generated by the minimal Pisot number. Zbl 1024.11066Akiyama, Shigeki; Sadahiro, Taizo 15 1998 On the boundary connectedness of connected tiles. Zbl 1070.37010Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M. 14 2004 Topological properties of two-dimensional number systems. Zbl 1012.11072Akiyama, Shigeki; Thuswaldner, Jörg M. 14 2000 Calculation of values of \(L\)-functions associated to elliptic curves. Zbl 0923.11100Akiyama, Shigeki; Tanigawa, Yoshio 14 1999 On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R. 12 2009 Algorithm for determining pure pointedness of self-affine tilings. Zbl 1219.37013Akiyama, Shigeki; Lee, Jeong-Yup 11 2011 Connectedness of number theoretic tilings. Zbl 1162.11366Akiyama, Shigeki; Gjini, Nertila 11 2005 Isometries of the special orthogonal group. Zbl 1297.47038Abe, Toshikazu; Akiyama, Shigeki; Hatori, Osamu 9 2013 From number systems to shift radix systems. Zbl 1217.11008Akiyama, Shigeki; Scheicher, Klaus 9 2005 Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert. Zbl 1021.11005Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila 8 2003 Periodicity of certain piecewise affine planar maps. Zbl 1209.37018Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 8 2008 Boundary parametrization of planar self-affine tiles with collinear digit set. Zbl 1209.28004Akiyama, Shigeki; Loridant, Benoît 7 2010 Height reducing problem on algebraic integers. Zbl 1290.11144Akiyama, Shigeki; Drungilas, Paulius; Jankauskas, Jonas 7 2012 Mahler’s \(Z\)-number and \(3/2\) number systems. Zbl 1212.11073Akiyama, Shigeki 7 2008 Remarks on a conjecture on certain integer sequences. Zbl 1121.11014Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 6 2006 On the distribution of polynomials with bounded roots. I: Polynomials with real coefficients. Zbl 1305.33006Akiyama, Shigeki; Pethő, Attila 6 2014 On the distribution of polynomials with bounded roots. II: Polynomials with integer coefficients. Zbl 1384.11081Akiyama, Shigeki; Pethő, Attila 6 2014 Comments on the height reducing property. Zbl 1356.11074Akiyama, Shigeki; Zaimi, Toufik 5 2013 Lehmer numbers and an asymptotic formula for \(\pi\). Zbl 0708.11016Akiyama, Shigeki 5 1990 On a generalization of the radix representation – a survey. Zbl 1135.11007Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 5 2004 Intersecting two-dimensional fractals with lines. Zbl 1111.11006Akiyama, Shigeki; Scheicher, Klaus 5 2005 Generalized radix representations and dynamical systems. IV. Zbl 1190.11041Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Generalized radix representations and dynamical systems. III. Zbl 1217.11007Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Positive finiteness of number systems. Zbl 1211.11011Akiyama, Shigeki 5 2006 Pentagonal domain exchange. Zbl 1316.37024Akiyama, Shigeki; Harriss, Edmund 4 2013 On the least common multiple of Lucas subsequences. Zbl 1306.11002Akiyama, Shigeki; Luca, Florian 4 2013 Overlap coincidence to strong coincidence in substitution tiling dynamics. Zbl 1348.37027Akiyama, Shigeki; Lee, Jeong-Yup 4 2014 On the pure Jacobi sums. Zbl 0849.11094Akiyama, Shigeki 4 1996 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 0860.11044Akiyama, Shigeki 4 1996 Salem numbers and uniform distribution modulo 1. Zbl 1072.11053Akiyama, Shigeki; Tanigawa, Yoshio 4 2004 Constructions of Pisot and Salem numbers with flat palindromes. Zbl 1178.11069Akiyama, Shigeki; Kwon, Do Yong 4 2008 Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 Comments on the height reducing property. II. Zbl 1308.11097Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 Symbolic dynamical system and number theoretical tilings. Zbl 1160.37315Akiyama, Shigeki 3 2008 A new type of inclusion exclusion principle for sequences and asymptotic formulas for \(\zeta(k)\). Zbl 0789.11010Akiyama, Shigeki 3 1993 On some dimension formula for automorphic forms of weight one. III. Zbl 0655.10027Hiramatsu, Toyokazu; Akiyama, Shigeki 3 1988 The dynamical norm conjecture and Pisot tilings. Zbl 0951.11551Akiyama, Shigeki 2 1999 Discretized rotation has infinitely many periodic orbits. Zbl 1351.37281Akiyama, Shigeki; Pethő, Attila 2 2013 Similar dissection of sets. Zbl 1226.52006Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg 2 2011 A note on aperiodic Ammann tiles. Zbl 1252.52018Akiyama, Shigeki 2 2012 Arithmetic Meyer sets and finite automata. Zbl 1106.11028Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 2 2005 Selberg trace formula for odd weight. I, II. Zbl 0672.10021Akiyama, Shigeki 2 1988 Strong coincidence and overlap coincidence. Zbl 1351.52025Akiyama, Shigeki 2 2016 Determining pure discrete spectrum for some self-affine tilings. Zbl 1400.37019Akiyama, Shigeki; Gähler, Franz; Lee, Jeong-Yup 2 2014 Rotational beta expansion: ergodicity and soficness. Zbl 1379.37010Akiyama, Shigeki; Caalim, Jonathan 2 2017 On the \(2^n\) divisibility of the Fourier coefficients of \(J_q\) functions and the Atkin conjecture for \(p=2\). Zbl 0978.11019Akiyama, Shigeki 1 1993 The corona limit of Penrose tilings is a regular decagon. Zbl 1350.68194Akiyama, Shigeki; Imai, Katsunobu 1 2016 Selberg trace formula for odd weight. II. Zbl 0709.11504Akiyama, Shigeki 1 1988 Recent progress related to the classification of canonical number systems. Zbl 1127.11309Akiyama, Shigeki 1 2002 Browder’s convergence for one-parameter nonexpansive semigroups. Zbl 1259.47071Akiyama, Shigeki; Suzuki, Tomonari 1 2012 Automata for arithmetic Meyer sets. Zbl 1196.68116Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 1 2004 Refinements of class number formulas for quadratic fields. Zbl 0973.11519Akiyama, Shigeki 1 1994 Primitive matrices over polynomial semirings. Zbl 1242.15030Akiyama, Shigeki; Brunotte, Horst 1 2012 Almost uniform distribution modulo 1 and the distribution of primes. Zbl 0902.11027Akiyama, S. 1 1998 Calculation of elliptic \(L\) functions in the critical strip. Zbl 1043.11531Akiyama, Shigeki; Tanigawa, Yoshio 1 1996 The Selberg trace formula for modular correspondences. Zbl 0702.11035Akiyama, Shigeki; Tanigawa, Yoshio 1 1990 Reducible cubic CNS polynomials. Zbl 1164.11006Akiyama, Shigeki; Brunotte, Horst; Pethö, Attila 1 2007 The computation of overlap coincidence in Taylor-Socolar substitution tiling. Zbl 1455.52021Akiyama, Shigeki; Lee, Jeong-Yup 1 2014 A note on Hecke’s absolute invariants. Zbl 0754.11013Akiyama, Shigeki 1 1992 Finiteness and periodicity of beta expansions – number theoretical and dynamical open problems. Zbl 1474.11022Akiyama, Shigeki 1 2009 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 1 2020 Generic point equivalence and Pisot numbers. Zbl 1467.37039Akiyama, Shigeki; Kaneko, Hajime; Kim, Dong Han 1 2020 Corona limits of tilings: periodic case. Zbl 1416.52013Akiyama, Shigeki; Caalim, Jonathan; Imai, Katsunobu; Kaneko, Hajime 1 2019 Invariant measure of rotational beta expansion and Tarski’s Plank problem. Zbl 1365.37003Akiyama, Shigeki; Caalim, Jonathan 1 2017 On nearly linear recurrence sequences. Zbl 1414.11020Akiyama, Shigeki; Evertse, Jan-Hendrik; Pethő, Attila 1 2017 Boundary parametrization and the topology of tiles. Zbl 1369.28007Akiyama, Shigeki; Loridant, Benoît 1 2017 Higher order oscillation and uniform distribution. Zbl 1479.11134Akiyama, Shigeki; Jiang, Yunping 1 2019 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 1 2020 Generic point equivalence and Pisot numbers. Zbl 1467.37039Akiyama, Shigeki; Kaneko, Hajime; Kim, Dong Han 1 2020 Corona limits of tilings: periodic case. Zbl 1416.52013Akiyama, Shigeki; Caalim, Jonathan; Imai, Katsunobu; Kaneko, Hajime 1 2019 Higher order oscillation and uniform distribution. Zbl 1479.11134Akiyama, Shigeki; Jiang, Yunping 1 2019 Rotational beta expansion: ergodicity and soficness. Zbl 1379.37010Akiyama, Shigeki; Caalim, Jonathan 2 2017 Invariant measure of rotational beta expansion and Tarski’s Plank problem. Zbl 1365.37003Akiyama, Shigeki; Caalim, Jonathan 1 2017 On nearly linear recurrence sequences. Zbl 1414.11020Akiyama, Shigeki; Evertse, Jan-Hendrik; Pethő, Attila 1 2017 Boundary parametrization and the topology of tiles. Zbl 1369.28007Akiyama, Shigeki; Loridant, Benoît 1 2017 Strong coincidence and overlap coincidence. Zbl 1351.52025Akiyama, Shigeki 2 2016 The corona limit of Penrose tilings is a regular decagon. Zbl 1350.68194Akiyama, Shigeki; Imai, Katsunobu 1 2016 On the Pisot substitution conjecture. Zbl 1376.37043Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A. 27 2015 Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 Comments on the height reducing property. II. Zbl 1308.11097Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 On the distribution of polynomials with bounded roots. I: Polynomials with real coefficients. Zbl 1305.33006Akiyama, Shigeki; Pethő, Attila 6 2014 On the distribution of polynomials with bounded roots. II: Polynomials with integer coefficients. Zbl 1384.11081Akiyama, Shigeki; Pethő, Attila 6 2014 Overlap coincidence to strong coincidence in substitution tiling dynamics. Zbl 1348.37027Akiyama, Shigeki; Lee, Jeong-Yup 4 2014 Determining pure discrete spectrum for some self-affine tilings. Zbl 1400.37019Akiyama, Shigeki; Gähler, Franz; Lee, Jeong-Yup 2 2014 The computation of overlap coincidence in Taylor-Socolar substitution tiling. Zbl 1455.52021Akiyama, Shigeki; Lee, Jeong-Yup 1 2014 Discrete spectra and Pisot numbers. Zbl 1285.11106Akiyama, Shigeki; Komornik, Vilmos 15 2013 Isometries of the special orthogonal group. Zbl 1297.47038Abe, Toshikazu; Akiyama, Shigeki; Hatori, Osamu 9 2013 Comments on the height reducing property. Zbl 1356.11074Akiyama, Shigeki; Zaimi, Toufik 5 2013 Pentagonal domain exchange. Zbl 1316.37024Akiyama, Shigeki; Harriss, Edmund 4 2013 On the least common multiple of Lucas subsequences. Zbl 1306.11002Akiyama, Shigeki; Luca, Florian 4 2013 Discretized rotation has infinitely many periodic orbits. Zbl 1351.37281Akiyama, Shigeki; Pethő, Attila 2 2013 Height reducing problem on algebraic integers. Zbl 1290.11144Akiyama, Shigeki; Drungilas, Paulius; Jankauskas, Jonas 7 2012 A note on aperiodic Ammann tiles. Zbl 1252.52018Akiyama, Shigeki 2 2012 Browder’s convergence for one-parameter nonexpansive semigroups. Zbl 1259.47071Akiyama, Shigeki; Suzuki, Tomonari 1 2012 Primitive matrices over polynomial semirings. Zbl 1242.15030Akiyama, Shigeki; Brunotte, Horst 1 2012 Boundary parametrization of self-affine tiles. Zbl 1226.28006Akiyama, Shigeki; Loridant, Benoît 16 2011 Algorithm for determining pure pointedness of self-affine tilings. Zbl 1219.37013Akiyama, Shigeki; Lee, Jeong-Yup 11 2011 Similar dissection of sets. Zbl 1226.52006Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg 2 2011 Boundary parametrization of planar self-affine tiles with collinear digit set. Zbl 1209.28004Akiyama, Shigeki; Loridant, Benoît 7 2010 On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R. 12 2009 Finiteness and periodicity of beta expansions – number theoretical and dynamical open problems. Zbl 1474.11022Akiyama, Shigeki 1 2009 Powers of rationals modulo 1 and rational base number systems. Zbl 1214.11089Akiyama, Shigeki; Frougny, Christiane; Sakarovitch, Jacques 34 2008 Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne 16 2008 Periodicity of certain piecewise affine planar maps. Zbl 1209.37018Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 8 2008 Mahler’s \(Z\)-number and \(3/2\) number systems. Zbl 1212.11073Akiyama, Shigeki 7 2008 Generalized radix representations and dynamical systems. IV. Zbl 1190.11041Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Generalized radix representations and dynamical systems. III. Zbl 1217.11007Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Constructions of Pisot and Salem numbers with flat palindromes. Zbl 1178.11069Akiyama, Shigeki; Kwon, Do Yong 4 2008 Symbolic dynamical system and number theoretical tilings. Zbl 1160.37315Akiyama, Shigeki 3 2008 Symmetric shift radix systems and finite expansions. Zbl 1164.11007Akiyama, Shigeki; Scheicher, Klaus 16 2007 Reducible cubic CNS polynomials. Zbl 1164.11006Akiyama, Shigeki; Brunotte, Horst; Pethö, Attila 1 2007 Generalized radix representations and dynamical systems. II. Zbl 1142.11055Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 21 2006 Remarks on a conjecture on certain integer sequences. Zbl 1121.11014Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Steiner, Wolfgang 6 2006 Positive finiteness of number systems. Zbl 1211.11011Akiyama, Shigeki 5 2006 Generalized radix representations and dynamical systems. I. Zbl 1110.11003Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 35 2005 The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004Akiyama, Shigeki; Thuswaldner, J. M. 20 2005 Connectedness of number theoretic tilings. Zbl 1162.11366Akiyama, Shigeki; Gjini, Nertila 11 2005 From number systems to shift radix systems. Zbl 1217.11008Akiyama, Shigeki; Scheicher, Klaus 9 2005 Intersecting two-dimensional fractals with lines. Zbl 1111.11006Akiyama, Shigeki; Scheicher, Klaus 5 2005 Arithmetic Meyer sets and finite automata. Zbl 1106.11028Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 2 2005 A survey on topological properties of tiles related to number systems. Zbl 1073.37017Akiyama, Shigeki; Thuswaldner, Jörg M. 31 2004 A certain finiteness property of Pisot number systems. Zbl 1052.11055Akiyama, Shigeki; Rao, Hui; Steiner, Wolfgang 16 2004 New criteria for canonical number systems. Zbl 1049.11008Akiyama, Shigeki; Rao, Hui 15 2004 On the connectedness of self-affine attractors. Zbl 1063.37008Akiyama, Shigeki; Gjini, Nertila 15 2004 On the boundary connectedness of connected tiles. Zbl 1070.37010Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M. 14 2004 On a generalization of the radix representation – a survey. Zbl 1135.11007Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 5 2004 Salem numbers and uniform distribution modulo 1. Zbl 1072.11053Akiyama, Shigeki; Tanigawa, Yoshio 4 2004 Automata for arithmetic Meyer sets. Zbl 1196.68116Akiyama, Shigeki; Bassino, Frédérique; Frougny, Christiane 1 2004 Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert. Zbl 1021.11005Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila 8 2003 On the boundary of self-affine tilings generated by Pisot numbers. Zbl 1032.11033Akiyama, Shigeki 35 2002 On analytic continuation of multiple \(L\)-functions and related zeta functions. Zbl 1028.11058Akiyama, Shigeki; Ishikawa, Hideaki 17 2002 On canonical number systems. Zbl 0988.68101Akiyama, Shigeki; Pethő, Attila 15 2002 Recent progress related to the classification of canonical number systems. Zbl 1127.11309Akiyama, Shigeki 1 2002 Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio 66 2001 Multiple zeta values at non-positive integers. Zbl 1002.11069Akiyama, Shigeki; Tanigawa, Yoshio 32 2001 Cubic Pisot units with finite beta expansions. Zbl 1001.11038Akiyama, Shigeki 36 2000 Topological properties of two-dimensional number systems. Zbl 1012.11072Akiyama, Shigeki; Thuswaldner, Jörg M. 14 2000 Self affine tiling and Pisot numeration system. Zbl 0999.11065Akiyama, Shigeki 30 1999 Calculation of values of \(L\)-functions associated to elliptic curves. Zbl 0923.11100Akiyama, Shigeki; Tanigawa, Yoshio 14 1999 The dynamical norm conjecture and Pisot tilings. Zbl 0951.11551Akiyama, Shigeki 2 1999 Pisot numbers and greedy algorithm. Zbl 0919.11063Akiyama, Shigeki 18 1998 A self similar tiling generated by the minimal Pisot number. Zbl 1024.11066Akiyama, Shigeki; Sadahiro, Taizo 15 1998 Almost uniform distribution modulo 1 and the distribution of primes. Zbl 0902.11027Akiyama, S. 1 1998 On the pure Jacobi sums. Zbl 0849.11094Akiyama, Shigeki 4 1996 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 0860.11044Akiyama, Shigeki 4 1996 Calculation of elliptic \(L\) functions in the critical strip. Zbl 1043.11531Akiyama, Shigeki; Tanigawa, Yoshio 1 1996 Refinements of class number formulas for quadratic fields. Zbl 0973.11519Akiyama, Shigeki 1 1994 A new type of inclusion exclusion principle for sequences and asymptotic formulas for \(\zeta(k)\). Zbl 0789.11010Akiyama, Shigeki 3 1993 On the \(2^n\) divisibility of the Fourier coefficients of \(J_q\) functions and the Atkin conjecture for \(p=2\). Zbl 0978.11019Akiyama, Shigeki 1 1993 A note on Hecke’s absolute invariants. Zbl 0754.11013Akiyama, Shigeki 1 1992 Lehmer numbers and an asymptotic formula for \(\pi\). Zbl 0708.11016Akiyama, Shigeki 5 1990 The Selberg trace formula for modular correspondences. Zbl 0702.11035Akiyama, Shigeki; Tanigawa, Yoshio 1 1990 On some dimension formula for automorphic forms of weight one. III. Zbl 0655.10027Hiramatsu, Toyokazu; Akiyama, Shigeki 3 1988 Selberg trace formula for odd weight. I, II. Zbl 0672.10021Akiyama, Shigeki 2 1988 Selberg trace formula for odd weight. II. Zbl 0709.11504Akiyama, Shigeki 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 436 Authors 37 Akiyama, Shigeki 37 Thuswaldner, Jörg Maximilian 16 Dubickas, Artūras 15 Loridant, Benoit 13 Pethő, Attila 12 Berthé, Valérie 12 Matsumoto, Kohji 10 Pelantová, Edita 10 Surer, Paul 10 Tanigawa, Yoshio 9 Scheicher, Klaus 9 Steiner, Wolfgang 9 Tsumura, Hirofumi 8 Luo, Jun 8 Masáková, Zuzana 8 Onozuka, Tomokazu 8 Vávra, Tomáš 7 Baake, Michael 7 Brunotte, Horst 7 Frougny, Christiane 7 Rao, Hui 7 Sirvent, Víctor F. 6 Jankauskas, Jonas 6 Jiang, Kan 6 Lau, Kasing 6 Lee, Jeong-Yup 6 Leung, King-Shun 6 Luo, Jun Jason 6 Madritsch, Manfred G. 6 Zaïmi, Toufik Mostepha 5 Grimm, Uwe 5 Komori, Yasushi 5 Ngai, Sze-Man 5 Siegel, Anne 4 Baker, Simon 4 Barge, Marcy M. 4 Dajani, Karma 4 Drungilas, Paulius 4 Ito, Shunji 4 Kirschenhofer, Peter 4 Kiuchi, Isao 4 Minervino, Milton 4 Okamoto, Takuya 4 Rigo, Michel 4 Saha, Biswajyoti 4 Sakarovitch, Jacques 4 Vivaldi, Franco 4 Xi, Lifeng 3 Barnsley, Michael Fielding 3 Bernat, Julien 3 Bruin, Henk 3 Conner, Gregory R. 3 Gähler, Franz 3 Hbaib, Mohamed 3 Hejda, Tomáš 3 Kalle, Charlene 3 Kanemitsu, Shigeru 3 Kirat, Ibrahim 3 Kong, Derong 3 Kwon, DoYong 3 Marsault, Victor 3 Masri, Riad 3 Nakamura, Takashi 3 Pankowski, Łukasz 3 Sadahiro, Taizo 3 Salehi, Sadegh 3 Sanna, Carlo 3 Sellami, Tarek 3 Shutov, Anton V. 3 Taghavi Jelodar, Ali 3 van de Woestijne, Christiaan E. 3 Vignat, Christophe 3 Vince, Andrew 3 Viswanadham, G. K. 3 Yang, Yamin 3 Zhao, Jianqiang 3 Ziegler, Volker 2 Alaca, Şaban 2 Allouche, Jean-Paul Simon 2 Banerjee, Debika 2 Barat, Guy 2 Caalim, Jonathan V. 2 Damanik, David 2 Deng, Guotai 2 Deng, Qirong 2 Dombek, Daniel 2 Ei, Hiromi 2 Fischer, Hanspeter 2 Fuchs, Clemens 2 Gaál, Marcell 2 González, Josep R. 2 Guo, Li 2 Hirose, Minoru 2 Inam, Ilker 2 Jiménez-Urroz, Jorge 2 Jiu, Lin 2 Jolivet, Timo 2 Kaneko, Hajime 2 Kempton, Tom 2 Komornik, Vilmos ...and 336 more Authors all top 5 Cited in 134 Serials 31 Journal of Number Theory 19 Monatshefte für Mathematik 16 Indagationes Mathematicae. New Series 14 Theoretical Computer Science 14 Acta Mathematica Hungarica 12 International Journal of Number Theory 11 Journal of Mathematical Analysis and Applications 10 Advances in Mathematics 9 Annales de l’Institut Fourier 9 Geometriae Dedicata 9 Proceedings of the American Mathematical Society 9 Transactions of the American Mathematical Society 9 Journal de Théorie des Nombres de Bordeaux 9 The Ramanujan Journal 8 Discrete & Computational Geometry 7 Osaka Journal of Mathematics 7 Topology and its Applications 6 Archiv der Mathematik 6 Mathematische Zeitschrift 6 Ergodic Theory and Dynamical Systems 6 Discrete and Continuous Dynamical Systems 5 Functiones et Approximatio. Commentarii Mathematici 5 Nagoya Mathematical Journal 5 Tokyo Journal of Mathematics 5 Linear Algebra and its Applications 5 Fractals 4 Discrete Mathematics 4 Israel Journal of Mathematics 4 Acta Arithmetica 4 Manuscripta Mathematica 4 Advances in Applied Mathematics 4 Experimental Mathematics 4 Journal of Mathematical Sciences (New York) 4 Finite Fields and their Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal of Algebra 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy. Series A 3 Quaestiones Mathematicae 3 Tsukuba Journal of Mathematics 3 Journal of Symbolic Computation 3 Integers 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Australian Mathematical Society 2 Letters in Mathematical Physics 2 Lithuanian Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 St. Petersburg Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 Journal of Difference Equations and Applications 2 Chaos 2 Journal of Integer Sequences 2 RAIRO. Theoretical Informatics and Applications 2 Central European Journal of Mathematics 2 Chebyshevskiĭ Sbornik 2 Science China. Mathematics 2 RAIRO. Theoretical Informatics and Applications 2 Journal of Fractal Geometry 2 Research in Number Theory 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 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Nuclear Physics. B 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Computing 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Journal of Computer and System Sciences 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Annals of Pure and Applied Logic 1 Annals of Global Analysis and Geometry 1 Physica D 1 Information and Computation 1 Forum Mathematicum ...and 34 more Serials all top 5 Cited in 41 Fields 310 Number theory (11-XX) 108 Dynamical systems and ergodic theory (37-XX) 96 Measure and integration (28-XX) 72 Convex and discrete geometry (52-XX) 44 Computer science (68-XX) 25 Combinatorics (05-XX) 17 General topology (54-XX) 16 Group theory and generalizations (20-XX) 14 Field theory and polynomials (12-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Manifolds and cell complexes (57-XX) 9 Algebraic topology (55-XX) 8 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Probability theory and stochastic processes (60-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Sequences, series, summability (40-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 4 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year