Siegel, Carl L. On some applications of Diophantine approximations. (Über einige Anwendungen diophantischer Approximationen. Reprint.) (German) Zbl 07814811 Zannier, Umberto (ed.), On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel’s “Über einige Anwendungen diophantischer Approximationen” by Clemens Fuchs). Pisa: Edizioni della Normale. Quad., Sc. Norm. Super. Pisa, Monogr. 2, 81-138 (2014). MSC: 11-03 01A75 11J81 11J91 PDFBibTeX XMLCite \textit{C. L. Siegel}, Quad., Sc. Norm. Super. Pisa, Monogr. 2, 81--138 (2014; Zbl 07814811) Full Text: DOI
Fuchs, Clemens [Siegel, Carl Ludwig] On some applications of Diophantine approximations [translation of the 1929 original by C. L. Siegel]. (English. German original) Zbl 07814810 Zannier, Umberto (ed.), On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel’s “Über einige Anwendungen diophantischer Approximationen” by Clemens Fuchs). Pisa: Edizioni della Normale. Quad., Sc. Norm. Super. Pisa, Monogr. 2, 1-80 (2014). MSC: 11-03 01A75 11J81 11J91 PDFBibTeX XMLCite \textit{C. Fuchs}, Quad., Sc. Norm. Super. Pisa, Monogr. 2, 1--80 (2014; Zbl 07814810) Full Text: DOI
Wen, Zhixiong; Wu, Wen Hankel determinants of the Cantor sequence. (Chinese. English summary) Zbl 1479.11051 Sci. Sin., Math. 44, No. 10, 1059-1072 (2014). MSC: 11B85 11C20 11J82 PDFBibTeX XMLCite \textit{Z. Wen} and \textit{W. Wu}, Sci. Sin., Math. 44, No. 10, 1059--1072 (2014; Zbl 1479.11051) Full Text: DOI arXiv
Luchin, M. Yu. An estimate for the irrationality measure of the number \(\log\frac{37}{30}\). (Russian. English summary) Zbl 1435.11096 Chebyshevskiĭ Sb. 15, No. 1(49), 131-140 (2014). MSC: 11J82 PDFBibTeX XMLCite \textit{M. Yu. Luchin}, Chebyshevskiĭ Sb. 15, No. 1(49), 131--140 (2014; Zbl 1435.11096) Full Text: MNR
Hokuto, Takeshi; Kumano, Mitsuhiro Which is bigger? An intriguing ‘double alternation’. (English) Zbl 1383.26013 Math. Gaz. 98, No. 541, 67-72 (2014). MSC: 26D20 11Y60 11J81 PDFBibTeX XMLCite \textit{T. Hokuto} and \textit{M. Kumano}, Math. Gaz. 98, No. 541, 67--72 (2014; Zbl 1383.26013) Full Text: DOI
Kekeç, Gülcan Some generalized lacunary power series with algebraic coefficients for Mahler’s \(U\)-number arguments. (English) Zbl 1357.11064 Taiwanese J. Math. 18, No. 1, 1-26 (2014). MSC: 11J82 11J61 PDFBibTeX XMLCite \textit{G. Kekeç}, Taiwanese J. Math. 18, No. 1, 1--26 (2014; Zbl 1357.11064) Full Text: DOI
Müller-Stach, Stefan What is …a period? (English) Zbl 1338.11063 Notices Am. Math. Soc. 61, No. 8, 898-899 (2014). MSC: 11J82 14C15 32G20 PDFBibTeX XMLCite \textit{S. Müller-Stach}, Notices Am. Math. Soc. 61, No. 8, 898--899 (2014; Zbl 1338.11063) Full Text: DOI
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. Zeta-like multizeta values for \(\mathbb{F}_q [t]\). (English) Zbl 1365.11104 Indian J. Pure Appl. Math. 45, No. 5, 787-801 (2014). MSC: 11M32 11M41 PDFBibTeX XMLCite \textit{J. A. Lara Rodríguez} and \textit{D. S. Thakur}, Indian J. Pure Appl. Math. 45, No. 5, 787--801 (2014; Zbl 1365.11104) Full Text: DOI arXiv
Šustek, Jan New bounds for irrationality measures of some fast converging series. (English) Zbl 1376.11060 Math. Appl., Brno 3, No. 2, 167-175 (2014). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 PDFBibTeX XMLCite \textit{J. Šustek}, Math. Appl., Brno 3, No. 2, 167--175 (2014; Zbl 1376.11060)
Chang, Chieh-Yu On characteristic \(p\) multizeta values. (English) Zbl 1369.11064 RIMS Kôkyûroku Bessatsu B51, 177-202 (2014). MSC: 11M32 11J93 PDFBibTeX XMLCite \textit{C.-Y. Chang}, RIMS Kôkyûroku Bessatsu B51, 177--202 (2014; Zbl 1369.11064)
Dubickas, Artūras On the approximation of the Thue-Morse generating sequence. (English) Zbl 1389.11104 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 57(105), No. 1, 59-71 (2014). MSC: 11J04 11J70 11J82 PDFBibTeX XMLCite \textit{A. Dubickas}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 57(105), No. 1, 59--71 (2014; Zbl 1389.11104)
Barabash, H. M.; Kholyavka, Ya. M. Approximation of modulus, periods and values of Jacobi elliptic functions. (Ukrainian. English, Russian summaries) Zbl 1367.11065 Carpathian Math. Publ. 6, No. 2, 191-195 (2014). MSC: 11J89 11J82 PDFBibTeX XMLCite \textit{H. M. Barabash} and \textit{Ya. M. Kholyavka}, Carpathian Math. Publ. 6, No. 2, 191--195 (2014; Zbl 1367.11065) Full Text: DOI
Chirskiĭ, V. G. Arithmetic properties of polyadic series with periodic coefficients. (English. Russian original) Zbl 1367.11066 Dokl. Math. 90, No. 3, 766-768 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 6, 677-679 (2014). MSC: 11J91 11J61 PDFBibTeX XMLCite \textit{V. G. Chirskiĭ}, Dokl. Math. 90, No. 3, 766--768 (2014; Zbl 1367.11066); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 6, 677--679 (2014) Full Text: DOI
Nichita, Florin F. On transcendental numbers. (English) Zbl 1318.11092 Axioms 3, No. 1, 64-69 (2014). MSC: 11J81 11-02 PDFBibTeX XMLCite \textit{F. F. Nichita}, Axioms 3, No. 1, 64--69 (2014; Zbl 1318.11092) Full Text: DOI arXiv
Kawashima, Makoto Evaluation of the dimension of the \(\mathbb Q\)-vector space spanned by the special values of the Lerch function. (English) Zbl 1323.11052 Tsukuba J. Math. 38, No. 2, 171-188 (2014). Reviewer: Sanoli Gun (Chennai) MSC: 11J72 11M35 11J81 PDFBibTeX XMLCite \textit{M. Kawashima}, Tsukuba J. Math. 38, No. 2, 171--188 (2014; Zbl 1323.11052) Full Text: DOI Euclid
Tanaka, Hidekazu Transcendence of special values of log double sine function. (English) Zbl 1310.11076 Proc. Japan Acad., Ser. A 90, No. 9, 133-134 (2014). MSC: 11J81 11J86 11J91 PDFBibTeX XMLCite \textit{H. Tanaka}, Proc. Japan Acad., Ser. A 90, No. 9, 133--134 (2014; Zbl 1310.11076) Full Text: DOI Euclid
Kaneko, Hajime Applications of numerical systems to transcendental number theory. (English) Zbl 1368.11066 RIMS Kôkyûroku Bessatsu B46, 175-186 (2014). MSC: 11J81 11K16 11J17 PDFBibTeX XMLCite \textit{H. Kaneko}, RIMS Kôkyûroku Bessatsu B46, 175--186 (2014; Zbl 1368.11066)
Vinberg, È. B. Limits of integrable Hamiltonians on semisimple Lie algebras. (English. Russian original) Zbl 1354.17016 Funct. Anal. Appl. 48, No. 2, 107-115 (2014); translation from Funkts. Anal Prilozh. 48, No. 2, 39-50 (2014). MSC: 17B63 37J35 17B80 PDFBibTeX XMLCite \textit{È. B. Vinberg}, Funct. Anal. Appl. 48, No. 2, 107--115 (2014; Zbl 1354.17016); translation from Funkts. Anal Prilozh. 48, No. 2, 39--50 (2014) Full Text: DOI
Wu, Qiang; Zhou, Ping Transcendence of some multivariate power series. (English) Zbl 1370.11087 Front. Math. China 9, No. 2, 425-430 (2014). MSC: 11J81 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{P. Zhou}, Front. Math. China 9, No. 2, 425--430 (2014; Zbl 1370.11087) Full Text: DOI
Ogawara, Hiroshi Differential transcendency of a formal Laurent series satisfying a rational linear \(q\)-difference equation. (English) Zbl 1343.12005 Funkc. Ekvacioj, Ser. Int. 57, No. 3, 477-488 (2014). MSC: 12H05 12H10 39A13 11J91 PDFBibTeX XMLCite \textit{H. Ogawara}, Funkc. Ekvacioj, Ser. Int. 57, No. 3, 477--488 (2014; Zbl 1343.12005) Full Text: DOI
Chirskii, V. G. On the arithmetic properties of generalized hypergeometric series with irrational parameters. (English. Russian original) Zbl 1310.11074 Izv. Math. 78, No. 6, 1244-1260 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, no. 6, 193-210 (2014). Reviewer: Peter Bundschuh (Köln) MSC: 11J13 11J91 33C20 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Izv. Math. 78, No. 6, 1244--1260 (2014; Zbl 1310.11074); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, no. 6, 193--210 (2014) Full Text: DOI
Zannier, Umberto (ed.) [Siegel, Carl Ludwig; Fuchs, Clemens] On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel’s “Über einige Anwendungen diophantischer Approximationen” by Clemens Fuchs). (English, German) Zbl 1311.11006 Quaderni. Scuola Normale Superiore di Pisa. Monographs 2. Pisa: Edizioni della Normale (ISBN 978-88-7642-519-6/pbk; 978-88-7642-520-2/ebook). ix, 161 p. (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11-02 01A75 11J81 11J91 11D41 PDFBibTeX XMLCite \textit{U. Zannier} (ed.), On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel's ``Über einige Anwendungen diophantischer Approximationen'' by Clemens Fuchs). Pisa: Edizioni della Normale (2014; Zbl 1311.11006) Full Text: DOI
Chang, Chieh-Yu Linear independence of monomials of multizeta values in positive characteristic. (English) Zbl 1306.11058 Compos. Math. 150, No. 11, 1789-1808 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11J93 11G09 11J81 11J91 11R58 PDFBibTeX XMLCite \textit{C.-Y. Chang}, Compos. Math. 150, No. 11, 1789--1808 (2014; Zbl 1306.11058) Full Text: DOI arXiv
Wüstholz, Gisbert A note on the conjectures of André-Oort and Pink. (English) Zbl 1323.11055 Bull. Inst. Math., Acad. Sin. (N.S.) 9, No. 4, 735-779 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11J86 11J89 11G18 14G05 14K20 14K22 PDFBibTeX XMLCite \textit{G. Wüstholz}, Bull. Inst. Math., Acad. Sin. (N.S.) 9, No. 4, 735--779 (2014; Zbl 1323.11055) Full Text: Link
Kumar, Narasimha Non-vanishing of derivatives of certain modular \(L\)-functions. (English) Zbl 1359.11054 Funct. Approximatio, Comment. Math. 51, No. 1, 121-132 (2014). MSC: 11F67 11J81 11F46 11F37 PDFBibTeX XMLCite \textit{N. Kumar}, Funct. Approximatio, Comment. Math. 51, No. 1, 121--132 (2014; Zbl 1359.11054) Full Text: DOI Euclid
Brussel, Eric; Tengan, Eduardo Tame division algebras of prime period over function fields of \(p\)-adic curves. (English) Zbl 1310.16016 Isr. J. Math. 201, Part A, 361-371 (2014). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 11G20 11R58 12E15 14G20 14H05 16K50 PDFBibTeX XMLCite \textit{E. Brussel} and \textit{E. Tengan}, Isr. J. Math. 201, Part A, 361--371 (2014; Zbl 1310.16016) Full Text: DOI arXiv
Müller, Tom Proofs of irrationality. (Irrationalitätsbeweise.) (German) Zbl 1301.11001 Berliner Studienreihe zur Mathematik 25. Lemgo: Heldermann Verlag (ISBN 978-3-88538-125-9/hbk). 209 p. (2014). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11J72 11J81 11A55 11J70 11J68 00A05 PDFBibTeX XMLCite \textit{T. Müller}, Irrationalitätsbeweise. Lemgo: Heldermann Verlag (2014; Zbl 1301.11001)
Shargorodsky, Eugene On the Amick-Fraenkel conjecture. (English) Zbl 1315.11061 Q. J. Math. 65, No. 1, 267-278 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11J81 35Q35 76B15 PDFBibTeX XMLCite \textit{E. Shargorodsky}, Q. J. Math. 65, No. 1, 267--278 (2014; Zbl 1315.11061) Full Text: DOI
Marcovecchio, Raffaele Multiple Legendre polynomials in diophantine approximation. (English) Zbl 1315.11064 Int. J. Number Theory 10, No. 7, 1829-1855 (2014). Reviewer: Takao Komatsu (Wuhan) MSC: 11J82 11J04 11J17 33C45 PDFBibTeX XMLCite \textit{R. Marcovecchio}, Int. J. Number Theory 10, No. 7, 1829--1855 (2014; Zbl 1315.11064) Full Text: DOI
Zudilin, Wadim Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\). (English) Zbl 1307.11085 Ann. Math. Qué. 38, No. 1, 101-117 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33C20 33C60 PDFBibTeX XMLCite \textit{W. Zudilin}, Ann. Math. Qué. 38, No. 1, 101--117 (2014; Zbl 1307.11085) Full Text: DOI arXiv
Fishman, Lior; Simmons, David; Urbański, Mariusz Diophantine properties of measures invariant with respect to the Gauss map. (English) Zbl 1315.11063 J. Anal. Math. 122, 289-315 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11J82 37A45 11J83 PDFBibTeX XMLCite \textit{L. Fishman} et al., J. Anal. Math. 122, 289--315 (2014; Zbl 1315.11063) Full Text: DOI arXiv
Dauguet, Simon; Zudilin, Wadim On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\). (English) Zbl 1315.11062 J. Number Theory 145, 362-387 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11J82 11J72 33C20 PDFBibTeX XMLCite \textit{S. Dauguet} and \textit{W. Zudilin}, J. Number Theory 145, 362--387 (2014; Zbl 1315.11062) Full Text: DOI arXiv
Gun, Sanoli; Saha, Ekata; Sinha, Sneh Bala Transcendence of generalized Euler-Lehmer constants. (English) Zbl 1325.11071 J. Number Theory 145, 329-339 (2014). Reviewer: Leonid A. Gutnik (Moskva) MSC: 11J81 PDFBibTeX XMLCite \textit{S. Gun} et al., J. Number Theory 145, 329--339 (2014; Zbl 1325.11071) Full Text: DOI
Meher, Jaban; Tanabe, Naomi Sign changes of Fourier coefficients of Hilbert modular forms. (English) Zbl 1311.11035 J. Number Theory 145, 230-244 (2014). MSC: 11F41 11F30 11J81 11J91 PDFBibTeX XMLCite \textit{J. Meher} and \textit{N. Tanabe}, J. Number Theory 145, 230--244 (2014; Zbl 1311.11035) Full Text: DOI
Bugeaud, Yann; Han, Guo-Niu A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. (English) Zbl 1298.05008 Electron. J. Comb. 21, No. 3, Research Paper P3.26, 17 p. (2014). MSC: 05A05 11J82 11B85 PDFBibTeX XMLCite \textit{Y. Bugeaud} and \textit{G.-N. Han}, Electron. J. Comb. 21, No. 3, Research Paper P3.26, 17 p. (2014; Zbl 1298.05008) Full Text: arXiv Link
Ammar Khodja, Farid; Benabdallah, Assia; González-Burgos, Manuel; de Teresa, Luz Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences. (English) Zbl 1304.35379 J. Funct. Anal. 267, No. 7, 2077-2151 (2014). MSC: 35K90 35K40 93B05 93C05 93C20 93C25 30B50 30B70 11J82 PDFBibTeX XMLCite \textit{F. Ammar Khodja} et al., J. Funct. Anal. 267, No. 7, 2077--2151 (2014; Zbl 1304.35379) Full Text: DOI
Wu, Qiang; Wang, Lihong On the irrationality measure of \(\log 3\). (English) Zbl 1303.11081 J. Number Theory 142, 264-273 (2014). Reviewer: Jan Šustek (Ostrava) MSC: 11J82 11J86 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{L. Wang}, J. Number Theory 142, 264--273 (2014; Zbl 1303.11081) Full Text: DOI
André, Yves Solution algebras of differential equations and quasi-homogeneous varieties: a new differential Galois correspondence. (Algèbres de solutions d’équations différentielles et variétés quasi-homogènes: une nouvelle correspondance de Galois différentielle.) (English. French summary) Zbl 1344.12001 Ann. Sci. Éc. Norm. Supér. (4) 47, No. 2, 449-467 (2014). MSC: 12H05 14M17 14L24 11J91 PDFBibTeX XMLCite \textit{Y. André}, Ann. Sci. Éc. Norm. Supér. (4) 47, No. 2, 449--467 (2014; Zbl 1344.12001) Full Text: DOI arXiv Link
Hida, Haruzo Transcendence of Hecke operators in the big Hecke algebra. (English) Zbl 1334.11030 Duke Math. J. 163, No. 9, 1655-1681 (2014). Reviewer: Matteo Longo (Padova) MSC: 11F25 11F41 20C08 11F80 11F27 11F33 11E16 PDFBibTeX XMLCite \textit{H. Hida}, Duke Math. J. 163, No. 9, 1655--1681 (2014; Zbl 1334.11030) Full Text: DOI Euclid
Fischler, Stéphane; Rivoal, Tanguy On the values of \(G\)-functions. (English) Zbl 1304.11070 Comment. Math. Helv. 89, No. 2, 313-341 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11J91 33E30 34M35 34M40 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Comment. Math. Helv. 89, No. 2, 313--341 (2014; Zbl 1304.11070) Full Text: DOI arXiv
Gun, Sanoli; Saha, Biswajyoti On the zeros of weakly holomorphic modular forms. (English) Zbl 1314.11021 Arch. Math. 102, No. 6, 531-543 (2014). Reviewer: Noburo Ishii (Kyoto) MSC: 11F03 11J81 11J91 PDFBibTeX XMLCite \textit{S. Gun} and \textit{B. Saha}, Arch. Math. 102, No. 6, 531--543 (2014; Zbl 1314.11021) Full Text: DOI arXiv
Chaves, Ana Paula; Marques, Diego An explicit family of \(U_m\)-numbers. (English) Zbl 1293.11081 Elem. Math. 69, No. 1, 18-22 (2014). MSC: 11J81 PDFBibTeX XMLCite \textit{A. P. Chaves} and \textit{D. Marques}, Elem. Math. 69, No. 1, 18--22 (2014; Zbl 1293.11081) Full Text: DOI
Bars, Francesc (ed.); Longhi, Ignazio (ed.); Trihan, Fabien (ed.) [Böckle, Gebhard; Burns, David; Goss, David; Thakur, Dinesh; Ulmer, Douglas] Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 – March 5 and April 6–16, 2010. (English) Zbl 1305.11001 Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0852-1/pbk; 978-3-0348-0853-8/ebook). xiv, 337 p. (2014). MSC: 11-06 14-06 11R58 14H05 11G10 11G40 11J93 11R23 14F05 14F30 14G10 00B25 PDFBibTeX XMLCite \textit{F. Bars} (ed.) et al., Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 -- March 5 and April 6--16, 2010. Basel: Birkhäuser/Springer (2014; Zbl 1305.11001) Full Text: DOI
Bugeaud, Yann On the quadratic Lagrange spectrum. (English) Zbl 1358.11077 Math. Z. 276, No. 3-4, 985-999 (2014). MSC: 11J06 11J70 PDFBibTeX XMLCite \textit{Y. Bugeaud}, Math. Z. 276, No. 3--4, 985--999 (2014; Zbl 1358.11077) Full Text: DOI
Zorin, Evgeniy Multiplicity estimates for algebraically dependent analytic functions. (English) Zbl 1294.11121 Proc. Lond. Math. Soc. (3) 108, No. 4, 989-1029 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11J81 11J82 11J61 11J93 11S82 11T55 PDFBibTeX XMLCite \textit{E. Zorin}, Proc. Lond. Math. Soc. (3) 108, No. 4, 989--1029 (2014; Zbl 1294.11121) Full Text: DOI arXiv
Sun, Hae-Sang The special values of Dirichlet \(L\)-functions as an analogue of the Iwasawa power series. (English) Zbl 1319.11075 J. Reine Angew. Math. 687, 207-223 (2014). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R18 PDFBibTeX XMLCite \textit{H.-S. Sun}, J. Reine Angew. Math. 687, 207--223 (2014; Zbl 1319.11075) Full Text: DOI
Kurosawa, Takeshi; Tachiya, Yohei; Tanaka, Taka-aki Algebraic independence results for the values of certain Mahler functions and their application to infinite products. (English) Zbl 1311.11066 Monatsh. Math. 174, No. 1, 77-104 (2014). Reviewer: Jürgen Wolfart (Frankfurt am Main) MSC: 11J81 11J85 PDFBibTeX XMLCite \textit{T. Kurosawa} et al., Monatsh. Math. 174, No. 1, 77--104 (2014; Zbl 1311.11066) Full Text: DOI
Roy, Damien Diophantine approximation with sign constraints. (English) Zbl 1286.11105 Monatsh. Math. 173, No. 3, 417-432 (2014). MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{D. Roy}, Monatsh. Math. 173, No. 3, 417--432 (2014; Zbl 1286.11105) Full Text: DOI arXiv
Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. Liouville numbers and Schanuel’s conjecture. (English) Zbl 1294.11120 Arch. Math. 102, No. 1, 59-70 (2014). Reviewer: Jan Šustek (Ostrava) MSC: 11J81 11J85 PDFBibTeX XMLCite \textit{K. S. Kumar} et al., Arch. Math. 102, No. 1, 59--70 (2014; Zbl 1294.11120) Full Text: DOI arXiv
Pila, Jonathan; Tsimerman, Jacob Ax-Lindemann for \(\mathcal{A}_g\). (English) Zbl 1305.14020 Ann. Math. (2) 179, No. 2, 659-681 (2014). Reviewer: Imin Chen (Burnaby) MSC: 14K10 03C64 11G18 14G35 11G10 11J91 PDFBibTeX XMLCite \textit{J. Pila} and \textit{J. Tsimerman}, Ann. Math. (2) 179, No. 2, 659--681 (2014; Zbl 1305.14020) Full Text: DOI arXiv
Jennings-Shaffer, Chris; Swisher, Holly A note on the transcendence of zeros of a certain family of weakly holomorphic forms. (English) Zbl 1286.11054 Int. J. Number Theory 10, No. 2, 309-317 (2014). MSC: 11F11 11J81 PDFBibTeX XMLCite \textit{C. Jennings-Shaffer} and \textit{H. Swisher}, Int. J. Number Theory 10, No. 2, 309--317 (2014; Zbl 1286.11054) Full Text: DOI
Guo, Ying-Jun; Wen, Zhi-Xiong; Wu, Wen On the irrationality exponent of the regular paperfolding numbers. (English) Zbl 1368.11068 Linear Algebra Appl. 446, 237-264 (2014). MSC: 11J82 11B85 11C20 PDFBibTeX XMLCite \textit{Y.-J. Guo} et al., Linear Algebra Appl. 446, 237--264 (2014; Zbl 1368.11068) Full Text: DOI arXiv
Murty, M. Ram; Rath, Purusottam Transcendental numbers. (English) Zbl 1297.11001 New York, NY: Springer (ISBN 978-1-4939-0831-8/pbk; 978-1-4939-0832-5/ebook). xiv, 217 p. (2014). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11J81 11J82 11J85 11J86 11J68 11J89 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{P. Rath}, Transcendental numbers. New York, NY: Springer (2014; Zbl 1297.11001) Full Text: DOI
Ullmo, Emmanuel; Yafaev, Andrei Hyperbolic Ax-Lindemann theorem in the cocompact case. (English) Zbl 1375.14096 Duke Math. J. 163, No. 2, 433-463 (2014). MSC: 14G35 03C64 11J91 14P10 32M15 PDFBibTeX XMLCite \textit{E. Ullmo} and \textit{A. Yafaev}, Duke Math. J. 163, No. 2, 433--463 (2014; Zbl 1375.14096) Full Text: DOI arXiv Euclid
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam A note on special values of \(L\)-functions. (English) Zbl 1302.11057 Proc. Am. Math. Soc. 142, No. 4, 1147-1156 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11M06 11J89 11J91 33B15 PDFBibTeX XMLCite \textit{S. Gun} et al., Proc. Am. Math. Soc. 142, No. 4, 1147--1156 (2014; Zbl 1302.11057) Full Text: DOI
Bundschuh, Peter; Väänänen, Keijo Transcendence results on the generating functions of the characteristic functions of certain self-generating sets. (English) Zbl 1292.11082 Acta Arith. 162, No. 3, 273-288 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J82 11J91 30B30 PDFBibTeX XMLCite \textit{P. Bundschuh} and \textit{K. Väänänen}, Acta Arith. 162, No. 3, 273--288 (2014; Zbl 1292.11082) Full Text: DOI
Kuhlmann, Franz-Viktor; Vlahu, Izabela The relative approximation degree in valued function fields. (English) Zbl 1330.12002 Math. Z. 276, No. 1-2, 203-235 (2014). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12J10 12J20 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann} and \textit{I. Vlahu}, Math. Z. 276, No. 1--2, 203--235 (2014; Zbl 1330.12002) Full Text: DOI arXiv
Chatterjee, T.; Gun, S. The digamma function, Euler-Lehmer constants and their \(p\)-adic counterparts. (English) Zbl 1285.11105 Acta Arith. 162, No. 2, 197-208 (2014). MSC: 11J91 11J86 11J99 PDFBibTeX XMLCite \textit{T. Chatterjee} and \textit{S. Gun}, Acta Arith. 162, No. 2, 197--208 (2014; Zbl 1285.11105) Full Text: DOI arXiv
Calcut, Jack S. Rational Angled Hyperbolic Polygons. arXiv:1412.3825 Preprint, arXiv:1412.3825 [math.MG] (2014). MSC: 51M10 11J81 11J72 BibTeX Cite \textit{J. S. Calcut}, ``Rational Angled Hyperbolic Polygons'', Preprint, arXiv:1412.3825 [math.MG] (2014) Full Text: arXiv OA License
Chow, Sam; Wei, Bin Rationality and power. arXiv:1409.3790 Preprint, arXiv:1409.3790 [math.NT] (2014). MSC: 11A99 11D61 11J72 11J81 BibTeX Cite \textit{S. Chow} and \textit{B. Wei}, ``Rationality and power'', Preprint, arXiv:1409.3790 [math.NT] (2014) Full Text: arXiv OA License
Bundschuh, Peter; Väänänen, Keijo Algebraic independence of reciprocal sums of certain Fibonacci-type numbers. arXiv:1403.5510 Preprint, arXiv:1403.5510 [math.NT] (2014). MSC: 11J91 11J81 39B32 BibTeX Cite \textit{P. Bundschuh} and \textit{K. Väänänen}, ``Algebraic independence of reciprocal sums of certain Fibonacci-type numbers'', Preprint, arXiv:1403.5510 [math.NT] (2014) Full Text: arXiv OA License
Schleischitz, Johannes On the rate of accumulation of \(\alpha\zeta^{n}\) mod 1 to 0. arXiv:1401.7588 Preprint, arXiv:1401.7588 [math.NT] (2014). MSC: 11J71 11J81 11J82 11K55 BibTeX Cite \textit{J. Schleischitz}, ``On the rate of accumulation of $\alpha\zeta^{n}$ mod 1 to 0'', Preprint, arXiv:1401.7588 [math.NT] (2014) Full Text: arXiv OA License