Jiang, Yueping; Wang, Jieyan; Yang, Fang Arithmeticity of \(\mathbb{C}\)-Fuchsian subgroups of some nonarithmetic lattices. (English) Zbl 07802963 Bull. Aust. Math. Soc. 109, No. 1, 77-88 (2024). MSC: 22E40 20H10 32M15 51M10 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Bull. Aust. Math. Soc. 109, No. 1, 77--88 (2024; Zbl 07802963) Full Text: DOI
Lopes Vieira, Vandenberg; Juriaans, Orlando Stanley On geometrically uniform codes and topological quantum MDS codes. (English) Zbl 1509.81342 J. Math. Phys. 63, No. 9, Article ID 092203, 25 p. (2022). MSC: 81P73 81P70 05B45 PDFBibTeX XMLCite \textit{V. Lopes Vieira} and \textit{O. S. Juriaans}, J. Math. Phys. 63, No. 9, Article ID 092203, 25 p. (2022; Zbl 1509.81342) Full Text: DOI
Schein, Michael M.; Shoan, Amir Systolic length of triangular modular curves. (English) Zbl 1502.11069 J. Number Theory 239, 462-488 (2022). Reviewer: Gautam Bharali (Bangalore) MSC: 11G18 14H55 30F20 PDFBibTeX XMLCite \textit{M. M. Schein} and \textit{A. Shoan}, J. Number Theory 239, 462--488 (2022; Zbl 1502.11069) Full Text: DOI arXiv
Parker, John R. Non-arithmetic monodromy of higher hypergeometric functions. (English) Zbl 1485.22010 J. Anal. Math. 142, No. 1, 41-70 (2020). Reviewer: Mikhail Belolipetsky (Rio de Janeiro) MSC: 22E40 33C20 33C80 PDFBibTeX XMLCite \textit{J. R. Parker}, J. Anal. Math. 142, No. 1, 41--70 (2020; Zbl 1485.22010) Full Text: DOI arXiv
Whang, Junho Peter Nonlinear descent on moduli of local systems. (English) Zbl 1464.14017 Isr. J. Math. 240, No. 2, 935-1004 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14D20 14L30 57K20 11D25 14G05 PDFBibTeX XMLCite \textit{J. P. Whang}, Isr. J. Math. 240, No. 2, 935--1004 (2020; Zbl 1464.14017) Full Text: DOI arXiv
Sijsling, Jeroen Canonical models of arithmetic \((1;\infty)\)-curves. (English) Zbl 1423.14190 Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 149-165 (2019). MSC: 14H10 14G35 PDFBibTeX XMLCite \textit{J. Sijsling}, Contemp. Math. 722, 149--165 (2019; Zbl 1423.14190) Full Text: DOI arXiv
Clark, Pete L.; Voight, John Algebraic curves uniformized by congruence subgroups of triangle groups. (English) Zbl 1416.11106 Trans. Am. Math. Soc. 371, No. 1, 33-82 (2019). Reviewer: Alexander W. Mason (Glasgow) MSC: 11G32 11F06 14G35 PDFBibTeX XMLCite \textit{P. L. Clark} and \textit{J. Voight}, Trans. Am. Math. Soc. 371, No. 1, 33--82 (2019; Zbl 1416.11106) Full Text: DOI arXiv
Parkkonen, Jouni; Paulin, Frédéric A classification of \(\mathbb{R}\)-Fuchsian subgroups of Picard modular groups. (English) Zbl 1481.11044 Confluentes Math. 10, No. 2, 75-92 (2018). MSC: 11F06 20H10 20G20 PDFBibTeX XMLCite \textit{J. Parkkonen} and \textit{F. Paulin}, Confluentes Math. 10, No. 2, 75--92 (2018; Zbl 1481.11044) Full Text: DOI arXiv
Quinn, Joseph A. Macfarlane hyperbolic 3-manifolds. (English) Zbl 1395.57024 Algebr. Geom. Topol. 18, No. 3, 1603-1632 (2018). Reviewer: Jean Raimbault (Toulouse) MSC: 57M50 11R52 11F06 22E40 20H10 PDFBibTeX XMLCite \textit{J. A. Quinn}, Algebr. Geom. Topol. 18, No. 3, 1603--1632 (2018; Zbl 1395.57024) Full Text: DOI arXiv
Lou, Beicheng; Tan, Ser; Vo, Anh Duc Hyperbolic jigsaws and families of pseudomodular groups. I. (English) Zbl 1437.20044 Geom. Topol. 22, No. 4, 2339-2366 (2018). MSC: 20H10 20H05 11F06 30F35 30F60 57M05 57M50 PDFBibTeX XMLCite \textit{B. Lou} et al., Geom. Topol. 22, No. 4, 2339--2366 (2018; Zbl 1437.20044) Full Text: DOI arXiv
Nugent, Steve; Voight, John On the arithmetic dimension of triangle groups. (English) Zbl 1379.11043 Math. Comput. 86, No. 306, 1979-2004 (2017). Reviewer: Alexander W. Mason (Glasgow) MSC: 11F03 20H10 11R52 14G35 PDFBibTeX XMLCite \textit{S. Nugent} and \textit{J. Voight}, Math. Comput. 86, No. 306, 1979--2004 (2017; Zbl 1379.11043) Full Text: DOI arXiv
Lakeland, Grant S. Equivalent trace sets for arithmetic Fuchsian groups. (English) Zbl 1355.57017 Proc. Am. Math. Soc. 145, No. 1, 445-459 (2017). Reviewer: Jean Raimbault (Toulouse) MSC: 57M50 20F65 PDFBibTeX XMLCite \textit{G. S. Lakeland}, Proc. Am. Math. Soc. 145, No. 1, 445--459 (2017; Zbl 1355.57017) Full Text: DOI arXiv
Javanpeykar, Ariyan An effective Arakelov-theoretic version of the hyperbolic isogeny theorem. (English) Zbl 1371.14027 Math. Proc. Camb. Philos. Soc. 160, No. 3, 463-476 (2016). MSC: 14G20 14G40 PDFBibTeX XMLCite \textit{A. Javanpeykar}, Math. Proc. Camb. Philos. Soc. 160, No. 3, 463--476 (2016; Zbl 1371.14027) Full Text: DOI arXiv
Dolgopyat, Dmitry; Jakobson, Dmitry On small gaps in the length spectrum. (English) Zbl 1366.37047 J. Mod. Dyn. 10, 339-352 (2016). MSC: 37C25 53C22 20H10 37C20 37D20 PDFBibTeX XMLCite \textit{D. Dolgopyat} and \textit{D. Jakobson}, J. Mod. Dyn. 10, 339--352 (2016; Zbl 1366.37047) Full Text: DOI arXiv
Benedito, Cintya Wink de Oliveira; Palazzo, Reginaldo jun.; Interlando, J. Carmelo An algorithm to construct arithmetic Fuchsian groups derived from quaternion algebras and the corresponding hyperbolic lattices. (English) Zbl 1341.20046 J. Pure Appl. Algebra 220, No. 5, 1902-1923 (2016). Reviewer: José Javier Etayo (Madrid) MSC: 20H10 51H10 30F10 30F35 52C20 PDFBibTeX XMLCite \textit{C. W. de O. Benedito} et al., J. Pure Appl. Algebra 220, No. 5, 1902--1923 (2016; Zbl 1341.20046) Full Text: DOI
Blanco-Chacón, I.; Hollanti, C.; Alsina, M.; Remón, D. Fuchsian codes with arbitrarily high code rates. (English) Zbl 1378.94081 J. Pure Appl. Algebra 220, No. 1, 180-196 (2016). MSC: 94B27 30F35 94B60 PDFBibTeX XMLCite \textit{I. Blanco-Chacón} et al., J. Pure Appl. Algebra 220, No. 1, 180--196 (2016; Zbl 1378.94081) Full Text: DOI arXiv Link
Queiroz, Cátia Quilles; Benedito, Cintya; Interlando, José Carmelo; Palazzo, Reginaldo jun. Hyperbolic lattices with complete labeling derived from \(\{4g,4g\}\) tessellations. (English) Zbl 1332.30066 Pinto, Raquel (ed.) et al., Coding theory and applications. 4th international Castle Meeting, ICMCTA, Palmela Castle, Portugal, September 15–18, 2014. Cham: Springer (ISBN 978-3-319-17295-8/hbk; 978-3-319-17296-5/ebook). CIM Series in Mathematical Sciences 3, 317-325 (2015). MSC: 30F35 PDFBibTeX XMLCite \textit{C. Q. Queiroz} et al., CIM Ser. Math. Sci 3, 317--325 (2015; Zbl 1332.30066) Full Text: DOI
Jahnke, Priska; Radloff, Ivo Projective uniformization, extremal Chern classes and quaternionic Shimura curves. (English) Zbl 1326.32030 Math. Ann. 363, No. 3-4, 753-776 (2015). MSC: 32J18 32Q30 32Q57 PDFBibTeX XMLCite \textit{P. Jahnke} and \textit{I. Radloff}, Math. Ann. 363, No. 3--4, 753--776 (2015; Zbl 1326.32030) Full Text: DOI arXiv
Kucharczyk, Robert A. Modular embeddings and rigidity for Fuchsian groups. (English) Zbl 1325.20044 Acta Arith. 169, No. 1, 77-100 (2015). MSC: 20H10 11F06 22E40 14G35 PDFBibTeX XMLCite \textit{R. A. Kucharczyk}, Acta Arith. 169, No. 1, 77--100 (2015; Zbl 1325.20044) Full Text: DOI arXiv Backlinks: MO
Reid, Alan W. Traces, lengths, axes and commensurability. (English. French summary) Zbl 1322.57002 Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 5, 1103-1118 (2014). Reviewer: Mikhail Belolipetsky (Rio de Janeiro) MSC: 57-02 51M10 20H10 30F40 57M50 57N16 PDFBibTeX XMLCite \textit{A. W. Reid}, Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 5, 1103--1118 (2014; Zbl 1322.57002) Full Text: DOI Numdam
Geninska, Slavyana On arithmetic Fuchsian groups and their characterizations. (English. French summary) Zbl 1321.20044 Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 5, 1093-1102 (2014). Reviewer: Gerhard Rosenberger (Hamburg) MSC: 20H10 11F06 22E40 30F35 20H05 PDFBibTeX XMLCite \textit{S. Geninska}, Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 5, 1093--1102 (2014; Zbl 1321.20044) Full Text: DOI Link
Sijsling, Jeroen Canonical models of arithmetic \((1; e)\)-curves. (English) Zbl 1333.11058 Math. Z. 273, No. 1-2, 173-210 (2013). MSC: 11G18 14G35 14Q05 PDFBibTeX XMLCite \textit{J. Sijsling}, Math. Z. 273, No. 1--2, 173--210 (2013; Zbl 1333.11058) Full Text: DOI
Quilles Queiroz, Cátia R. de O.; Palazzo, Reginaldo jun. Codes over graphs derived from quotient rings of the quaternion orders. (English) Zbl 1381.94132 ISRN Algebra 2012, Article ID 956017, 14 p. (2012). MSC: 94B25 05C25 20H10 PDFBibTeX XMLCite \textit{C. R. de O. Quilles Queiroz} and \textit{R. Palazzo jun.}, ISRN Algebra 2012, Article ID 956017, 14 p. (2012; Zbl 1381.94132) Full Text: DOI
Jakobson, Dmitry; Naud, Frédéric On the critical line of convex co-compact hyperbolic surfaces. (English) Zbl 1284.30035 Geom. Funct. Anal. 22, No. 2, 352-368 (2012). MSC: 30F35 58J50 11F72 PDFBibTeX XMLCite \textit{D. Jakobson} and \textit{F. Naud}, Geom. Funct. Anal. 22, No. 2, 352--368 (2012; Zbl 1284.30035) Full Text: DOI
Sijsling, Jeroen Arithmetic \((1;e)\)-curves and Belyĭ maps. (English) Zbl 1262.14035 Math. Comput. 81, No. 279, 1823-1855 (2012). Reviewer: Andrew Obus (New York) MSC: 14H57 14G35 14Q05 34B30 PDFBibTeX XMLCite \textit{J. Sijsling}, Math. Comput. 81, No. 279, 1823--1855 (2012; Zbl 1262.14035) Full Text: DOI
Milićević, Djordje Large values of eigenfunctions on arithmetic hyperbolic surfaces. (English) Zbl 1219.11071 Duke Math. J. 155, No. 2, 365-401 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11F37 11F32 11F72 11N56 58J51 PDFBibTeX XMLCite \textit{D. Milićević}, Duke Math. J. 155, No. 2, 365--401 (2010; Zbl 1219.11071) Full Text: DOI
Tsutsumi, Hiroyuki The Atkin orthogonal polynomials for congruence subgroups of low levels. (English) Zbl 1181.11037 Ramanujan J. 14, No. 2, 223-247 (2007). Reviewer: Günter Köhler (Würzburg) MSC: 11F03 11F11 11F25 PDFBibTeX XMLCite \textit{H. Tsutsumi}, Ramanujan J. 14, No. 2, 223--247 (2007; Zbl 1181.11037) Full Text: DOI
Proskin, Heath Flat faces in punctured torus groups. (English) Zbl 1146.57030 Rocky Mt. J. Math. 37, No. 6, 2025-2051 (2007). Reviewer: Andrzej Szczepański (Gdańsk) MSC: 57M50 57M07 51M10 52A55 53A35 20F99 PDFBibTeX XMLCite \textit{H. Proskin}, Rocky Mt. J. Math. 37, No. 6, 2025--2051 (2007; Zbl 1146.57030) Full Text: DOI Euclid
Tamburini, M. C.; Vsemirnov, M. Hurwitz groups and Hurwitz generation. (English) Zbl 1210.20033 Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 385-426 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 20F05 20-02 PDFBibTeX XMLCite \textit{M. C. Tamburini} and \textit{M. Vsemirnov}, Handb. Algebra 4, 385--426 (2006; Zbl 1210.20033) Full Text: DOI
Farmer, D. W.; Lemurell, S. Deformations of Maass forms. (English) Zbl 1079.11024 Math. Comput. 74, No. 252, 1967-1982 (2005). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F03 11F30 11F72 PDFBibTeX XMLCite \textit{D. W. Farmer} and \textit{S. Lemurell}, Math. Comput. 74, No. 252, 1967--1982 (2005; Zbl 1079.11024) Full Text: DOI arXiv
Sarnak, Peter Spectra of hyperbolic surfaces. (English) Zbl 1045.11033 Bull. Am. Math. Soc., New Ser. 40, No. 4, 441-478 (2003). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 11M36 11-02 11F03 11N75 11R42 35P20 11F67 PDFBibTeX XMLCite \textit{P. Sarnak}, Bull. Am. Math. Soc., New Ser. 40, No. 4, 441--478 (2003; Zbl 1045.11033) Full Text: DOI
Williams, Alun G. T. Arithmeticity of orbifold generalised triangle groups. (English) Zbl 1016.20030 J. Pure Appl. Algebra 177, No. 3, 309-322 (2003). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 20H10 30F40 57M25 57M07 20F05 PDFBibTeX XMLCite \textit{A. G. T. Williams}, J. Pure Appl. Algebra 177, No. 3, 309--322 (2003; Zbl 1016.20030) Full Text: DOI
Coulson, David; Goodman, Oliver A.; Hodgson, Craig D.; Neumann, Walter D. Computing arithmetic invariants of 3-manifolds. (English) Zbl 1002.57044 Exp. Math. 9, No. 1, 127-152 (2000). MSC: 57M50 57-04 57N10 PDFBibTeX XMLCite \textit{D. Coulson} et al., Exp. Math. 9, No. 1, 127--152 (2000; Zbl 1002.57044) Full Text: DOI Euclid EuDML Backlinks: MO
Schmutz Schaller, Paul Geometry of Riemann surfaces based on closed geodesics. (English) Zbl 1012.30029 Bull. Am. Math. Soc., New Ser. 35, No. 3, 193-214 (1998). MSC: 30F45 53C22 57M50 11F06 11H99 32G15 11F72 PDFBibTeX XMLCite \textit{P. Schmutz Schaller}, Bull. Am. Math. Soc., New Ser. 35, No. 3, 193--214 (1998; Zbl 1012.30029) Full Text: DOI
Gehring, F. W.; Maclachlan, C.; Martin, G. J.; Reid, A. W. Arithmeticity, discreteness and volume. (English) Zbl 0889.30031 Trans. Am. Math. Soc. 349, No. 9, 3611-3643 (1997). Reviewer: B.Zimmermann (Trieste) MSC: 30F40 20H10 57M99 PDFBibTeX XMLCite \textit{F. W. Gehring} et al., Trans. Am. Math. Soc. 349, No. 9, 3611--3643 (1997; Zbl 0889.30031) Full Text: DOI arXiv
Johansson, Stefan Traces in arithmetic Fuchsian groups. (English) Zbl 0894.11026 J. Number Theory 66, No. 2, 251-270 (1997). Reviewer: M.Sheingorn (New York) MSC: 11F72 20H10 11F06 30F40 PDFBibTeX XMLCite \textit{S. Johansson}, J. Number Theory 66, No. 2, 251--270 (1997; Zbl 0894.11026) Full Text: DOI
Schmutz Schaller, Paul The modular torus has maximal length spectrum. (English) Zbl 0867.30031 Geom. Funct. Anal. 6, No. 6, 1057-1073 (1996). Reviewer: Gh.Pitiş (Braşov) MSC: 30F35 11F06 53C22 PDFBibTeX XMLCite \textit{P. Schmutz Schaller}, Geom. Funct. Anal. 6, No. 6, 1057--1073 (1996; Zbl 0867.30031) Full Text: DOI EuDML
Kühnlein, Stefan Partial solution of a conjecture of Schmutz. (English) Zbl 0855.11017 Arch. Math. 67, No. 2, 164-172 (1996). Reviewer: S.Kühnlein (Saarbrücken) MSC: 11E39 11H06 30F45 PDFBibTeX XMLCite \textit{S. Kühnlein}, Arch. Math. 67, No. 2, 164--172 (1996; Zbl 0855.11017) Full Text: DOI
Schmutz, Paul Arithmetic groups and the length spectrum of Riemann surfaces. (English) Zbl 0867.30030 Duke Math. J. 84, No. 1, 199-215 (1996). Reviewer: M.Sheingorn (New York) MSC: 30F35 PDFBibTeX XMLCite \textit{P. Schmutz}, Duke Math. J. 84, No. 1, 199--215 (1996; Zbl 0867.30030) Full Text: DOI
Hurt, Norman E. Kloosterman sums and their applications: A review. (English) Zbl 0852.11043 Result. Math. 29, No. 1-2, 16-41 (1996). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11L05 11F72 11F11 11F37 PDFBibTeX XMLCite \textit{N. E. Hurt}, Result. Math. 29, No. 1--2, 16--41 (1996; Zbl 0852.11043) Full Text: DOI
Johnson, F. E. A. On the uniqueness of arithmetic structures. (English) Zbl 0819.22007 Proc. R. Soc. Edinb., Sect. A 124, No. 5, 1037-1044 (1994). Reviewer: C.Maclachlan (Aberdeen) MSC: 22E40 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, Proc. R. Soc. Edinb., Sect. A, Math. 124, No. 5, 1037--1044 (1994; Zbl 0819.22007) Full Text: DOI
Luo, W.; Sarnak, P. Number variance for arithmetic hyperbolic surfaces. (English) Zbl 0797.58069 Commun. Math. Phys. 161, No. 2, 419-432 (1994). MSC: 11F72 11F06 81Q50 58J51 PDFBibTeX XMLCite \textit{W. Luo} and \textit{P. Sarnak}, Commun. Math. Phys. 161, No. 2, 419--432 (1994; Zbl 0797.58069) Full Text: DOI
Reid, Alan W. Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds. (English) Zbl 0776.58040 Duke Math. J. 65, No. 2, 215-228 (1992). Reviewer: J.Elstrodt (Münster) MSC: 58J50 32Q45 11F06 11F72 53C22 30F35 30F40 PDFBibTeX XMLCite \textit{A. W. Reid}, Duke Math. J. 65, No. 2, 215--228 (1992; Zbl 0776.58040) Full Text: DOI
Bogomolny, E. B.; Georgeot, B.; Giannoni, M.-J.; Schmit, C. Chaotic billiards generated by arithmetic groups. (English) Zbl 0968.81514 Phys. Rev. Lett. 69, No. 10, 1477-1480 (1992). MSC: 81Q50 20H15 37D40 82B05 PDFBibTeX XMLCite \textit{E. B. Bogomolny} et al., Phys. Rev. Lett. 69, No. 10, 1477--1480 (1992; Zbl 0968.81514) Full Text: DOI
Maclachlan, C.; Reid, A. W. Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups. (English) Zbl 0632.30043 Math. Proc. Camb. Philos. Soc. 102, 251-257 (1987). Reviewer: W.Abikoff MSC: 30F40 20H10 20E07 PDFBibTeX XMLCite \textit{C. Maclachlan} and \textit{A. W. Reid}, Math. Proc. Camb. Philos. Soc. 102, 251--257 (1987; Zbl 0632.30043) Full Text: DOI
Maclachlan, C.; Rosenberger, G. Two-generator arithmetic Fuchsian groups. (English) Zbl 0513.20034 Math. Proc. Camb. Philos. Soc. 93, 383-391 (1983). MSC: 20H10 11F06 PDFBibTeX XMLCite \textit{C. Maclachlan} and \textit{G. Rosenberger}, Math. Proc. Camb. Philos. Soc. 93, 383--391 (1983; Zbl 0513.20034) Full Text: DOI