Beukers, F. Algebraic values of \(G\)-functions. (English) Zbl 0753.11024 J. Reine Angew. Math. 434, 45-65 (1993). Reviewer: F.Beukers (Utrecht) MSC: 11G07 11J81 14D05 33C60 PDFBibTeX XMLCite \textit{F. Beukers}, J. Reine Angew. Math. 434, 45--65 (1993; Zbl 0753.11024) Full Text: DOI Crelle EuDML
Yuan, Jin Transcendental continued fractions of \(p\)-adic numbers. (Chinese. English summary) Zbl 0844.11048 Pure Appl. Math. 9, No. 2, 61-66 (1993). Reviewer: Zhu Yaochen (Beijing) MSC: 11J70 11J61 11J81 PDFBibTeX XMLCite \textit{J. Yuan}, Pure Appl. Math. 9, No. 2, 61--66 (1993; Zbl 0844.11048)
Vasilenko, O. N. On a construction of diophantine approximations. (English. Russian original) Zbl 0848.11032 Mosc. Univ. Math. Bull. 48, No. 5, 11-14 (1993); translation from Vestn. Mosk. Univ., Ser. I 1993, No. 5, 14-17 (1993). Reviewer: Xu Guangshan (Beijing) MSC: 11J91 11J72 PDFBibTeX XMLCite \textit{O. N. Vasilenko}, Mosc. Univ. Math. Bull. 48, No. 5, 11--14 (1993; Zbl 0848.11032); translation from Vestn. Mosk. Univ., Ser. I 1993, No. 5, 14--17 (1993)
Ivankov, P. L. On bounds for certain linear forms. (English. Russian original) Zbl 0838.11053 Russ. Math. 37, No. 2, 36-43 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 2, 38-45 (1993). Reviewer: Xu Guangshan (Beijing) MSC: 11J91 33C70 PDFBibTeX XMLCite \textit{P. L. Ivankov}, Russ. Math. 37, No. 2, 36--43 (1993; Zbl 0838.11053); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 2, 38--45 (1993)
Shidlovskij, A. B. Transcendence of the values of \(E\)-functions that are solutions of second order linear differential equations. (English. Russian original) Zbl 0816.11041 Russ. Acad. Sci., Sb., Math. 79, No. 1, 63-71 (1994); translation from Mat. Sb. 184, No. 5, 75-84 (1993). Reviewer: Zhu Yaochen (Beijing) MSC: 11J91 PDFBibTeX XMLCite \textit{A. B. Shidlovskij}, Russ. Acad. Sci., Sb., Math. 79, No. 1, 75--84 (1993; Zbl 0816.11041); translation from Mat. Sb. 184, No. 5, 75--84 (1993)
Ivankov, P. L. On linear independence of the values of entire hypergeometric functions with irrational parameters. (English. Russian original) Zbl 0814.11039 Sib. Math. J. 34, No. 5, 839-847 (1993); translation from Sib. Mat. Zh. 34, No. 5, 53-62 (1993). Reviewer: Zhu Yaochen (Beijing) MSC: 11J91 11J72 PDFBibTeX XMLCite \textit{P. L. Ivankov}, Sib. Math. J. 34, No. 5, 839--847 (1993; Zbl 0814.11039); translation from Sib. Mat. Zh. 34, No. 5, 53--62 (1993) Full Text: DOI
Gramain, François The degrees of the algebraic numbers \(\cos(2\pi/n)\) and \(\sin(2\pi/n)\) and the transcendence of \(\pi\). (Les degrés des nombres algébriques \(\cos(2\pi/n)\) et \(\sin(2\pi/n)\) et la transcendance de \(\pi\).) (French) Zbl 0809.11062 Gaz. Math., Soc. Math. Fr. 58, 29-37 (1993). Reviewer: P.Bundschuh (Köln) MSC: 11R04 11J81 PDFBibTeX XMLCite \textit{F. Gramain}, Gaz. Math., Soc. Math. Fr. 58, 29--37 (1993; Zbl 0809.11062)
Nishioka, Kumiko Note on a paper by Mahler. (English) Zbl 0820.11044 Tsukuba J. Math. 17, No. 2, 455-459 (1993). Reviewer: J.H.Loxton (North Ryde) MSC: 11J91 PDFBibTeX XMLCite \textit{K. Nishioka}, Tsukuba J. Math. 17, No. 2, 455--459 (1993; Zbl 0820.11044) Full Text: DOI
Kano, Hiroyuki General constructions of normal numbers of Korobov type. (English) Zbl 0803.11041 Osaka J. Math. 30, No. 4, 909-919 (1993). Reviewer: P.Bundschuh (Köln) MSC: 11K16 11J81 11J82 PDFBibTeX XMLCite \textit{H. Kano}, Osaka J. Math. 30, No. 4, 909--919 (1993; Zbl 0803.11041)
Roy, Damien; Waldschmidt, Michel On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) (French) Zbl 0813.11041 Can. Math. Bull. 36, No. 3, 358-367 (1993). Reviewer: P.Bundschuh (Köln) MSC: 11J81 11R99 14L99 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Can. Math. Bull. 36, No. 3, 358--367 (1993; Zbl 0813.11041) Full Text: DOI
Xu, Guangshan Simultaneous approximation to values of exponential function at algebraic points. (English) Zbl 0803.11035 Acta Math. Sin., New Ser. 9, No. 4, 421-431 (1993). Reviewer: Zhu Yaochen (Beijing) MSC: 11J13 11J91 PDFBibTeX XMLCite \textit{G. Xu}, Acta Math. Sin., New Ser. 9, No. 4, 421--431 (1993; Zbl 0803.11035) Full Text: DOI
Holzapfel, R.-P. New progress on some Hilbert problems. (English) Zbl 0802.11025 Dimovski, Ivan et al., Complex analysis and generalized functions. Papers from the fifth international conference on complex analysis and applications and symposium on generalized functions held in Varna, Bulgaria, September 15-21, 1991. Sofia: Publishing House of the Bulgarian Academy. 117-131 (1993). Reviewer: J.Wolfart (Frankfurt / Main) MSC: 11G15 11-02 32N15 11F55 11G30 33C65 11J91 PDFBibTeX XMLCite \textit{R. P. Holzapfel}, in: Complex analysis and generalized functions. Papers from the fifth international conference on complex analysis and applications and symposium on generalized functions held in Varna, Bulgaria, September 15- 21, 1991. Sofia: Publishing House of the Bulgarian Academy. 117--131 (1993; Zbl 0802.11025)
Becker, Paul-Georg; Bergweiler, Walter Transcendency of local conjugacies in complex dynamics and transcendency of their values. (English) Zbl 0808.11045 Manuscr. Math. 81, No. 3-4, 329-337 (1993). Reviewer: F.Gramain (Saint-Etienne) MSC: 11J91 30D05 37B99 PDFBibTeX XMLCite \textit{P.-G. Becker} and \textit{W. Bergweiler}, Manuscr. Math. 81, No. 3--4, 329--337 (1993; Zbl 0808.11045) Full Text: DOI EuDML
Randé, Bernard 2- and 3-Mahler recurrences. (Récurrences 2- et 3-mahlériennes.) (French) Zbl 0795.11010 J. Théor. Nombres Bordx. 5, No. 1, 101-109 (1993). Reviewer: J.H.Loxton (North Ryde) MSC: 11B85 11J91 39B32 PDFBibTeX XMLCite \textit{B. Randé}, J. Théor. Nombres Bordx. 5, No. 1, 101--109 (1993; Zbl 0795.11010) Full Text: DOI Numdam EuDML
Berthé, Valérie Carlitz \(\zeta\)-function and automata. (Fonction \(\zeta\) de Carlitz et automates.) (French) Zbl 0784.11025 J. Théor. Nombres Bordx. 5, No. 1, 53-77 (1993). Reviewer: J.Teitelbaum (Chicago) MSC: 11G09 11J81 68Q45 PDFBibTeX XMLCite \textit{V. Berthé}, J. Théor. Nombres Bordx. 5, No. 1, 53--77 (1993; Zbl 0784.11025) Full Text: DOI Numdam
Müller, Ralf Algebraic independence of the values of certain gap power series in non-Archimedean valued fields. (Algebraische Unabhängigkeit der Werte gewisser Lückenreihen in nicht- archimedisch bewerteten Körpern.) (German) Zbl 0798.11030 Result. Math. 24, No. 3-4, 288-297 (1993). Reviewer: R.Wallisser (Freiburg i.Br.) MSC: 11J81 11J61 11J72 PDFBibTeX XMLCite \textit{R. Müller}, Result. Math. 24, No. 3--4, 288--297 (1993; Zbl 0798.11030) Full Text: DOI
Kacha, Ali Algebraic approximation of continued fractions. (Approximation algébrique de fractions continues.) (French) Zbl 0795.11028 C. R. Acad. Sci., Paris, Sér. I 317, No. 1, 17-20 (1993). Reviewer: P.Bundschuh (Köln) MSC: 11J70 11J81 11J82 PDFBibTeX XMLCite \textit{A. Kacha}, C. R. Acad. Sci., Paris, Sér. I 317, No. 1, 17--20 (1993; Zbl 0795.11028)
Becker, Paul-Georg Automatic sequences and transcendence in positive characteristic. (Automatische Folgen und Transzendenz in positiver Charakteristik.) (German) Zbl 0778.11038 Arch. Math. 61, No. 1, 68-74 (1993). Reviewer: P.-G.Becker (Köln) MSC: 11J81 11B85 PDFBibTeX XMLCite \textit{P.-G. Becker}, Arch. Math. 61, No. 1, 68--74 (1993; Zbl 0778.11038) Full Text: DOI
Pollington, Andrew D. Sum sets and \(U\)-numbers. (English) Zbl 0789.11038 Pollington, Andrew D. (ed.) et al., Number theory with an emphasis on the Markoff spectrum. Mainly the proceedings of the conference on the Markoff spectrum and diophantive approximation and analytic number theory at Brigham Young University in Provo, Utah, 1991. New York: Marcel Dekker, Inc.. Lect. Notes Pure Appl. Math. 147, 207-214 (1993). Reviewer: J.Hančl (Ostrava) MSC: 11J81 PDFBibTeX XMLCite \textit{A. D. Pollington}, Lect. Notes Pure Appl. Math. 147, 207--214 (1993; Zbl 0789.11038)
Caveny, Deanna; Tubbs, Robert The arithmetic of well-approximated numbers. (English) Zbl 0790.11053 Pollington, Andrew D. (ed.) et al., Number theory with an emphasis on the Markoff spectrum. Mainly the proceedings of the conference on the Markoff spectrum and diophantine approximation and analytic number theory at Brigham Young University in Provo, Utah, 1991. New York: Marcel Dekker, Inc.. Lect. Notes Pure Appl. Math. 147, 53-59 (1993). Reviewer: M.Waldschmidt (Paris) MSC: 11J81 11J82 PDFBibTeX XMLCite \textit{D. Caveny} and \textit{R. Tubbs}, Lect. Notes Pure Appl. Math. 147, 53--59 (1993; Zbl 0790.11053)
Caveny, Deanna M. \(U\)-numbers and \(T\)-numbers: Some elementary transcendence and algebraic independence results. (English) Zbl 0788.11025 Pollington, Andrew D. (ed.) et al., Number theory with an emphasis on the Markoff spectrum. Mainly the proceedings of the conference on the Markoff spectrum and diophantive approximation and analytic number theory at Brigham Young University in Provo, Utah, 1991. New York: Marcel Dekker, Inc.. Lect. Notes Pure Appl. Math. 147, 43-52 (1993). Reviewer: J.Hančl (Ostrava) MSC: 11J81 11J85 PDFBibTeX XMLCite \textit{D. M. Caveny}, Lect. Notes Pure Appl. Math. 147, 43--52 (1993; Zbl 0788.11025)
Hurrelbrink, Jürgen; Rehmann, Ulf Splitting patterns of excellent quadratic forms. (English) Zbl 0791.11016 J. Reine Angew. Math. 444, 183-192 (1993). Reviewer: J.Hurrelbrink (Baton Rouge) MSC: 11E04 12D15 11E57 11E81 PDFBibTeX XMLCite \textit{J. Hurrelbrink} and \textit{U. Rehmann}, J. Reine Angew. Math. 444, 183--192 (1993; Zbl 0791.11016) Full Text: Crelle EuDML
Cherif, H.; de Mathan, B. Irrationality measures of Carlitz zeta values in characteristic \(p\). (English) Zbl 0780.11031 J. Number Theory 44, No. 3, 260-272 (1993). Reviewer: D.Goss (Columbus / Ohio) MSC: 11G09 11J82 11T55 PDFBibTeX XMLCite \textit{H. Cherif} and \textit{B. de Mathan}, J. Number Theory 44, No. 3, 260--272 (1993; Zbl 0780.11031) Full Text: DOI
Roy, Damien On the \(v\)-adic independence of algebraic numbers. (English) Zbl 0788.11051 Gouvêa, Fernando Q. (ed.) et al., Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen’s University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 441-451 (1993). Reviewer: M.Waldschmidt (Paris) MSC: 11R27 11R33 11J81 PDFBibTeX XMLCite \textit{D. Roy}, in: Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen's University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 441--451 (1993; Zbl 0788.11051)
Waldschmidt, Michel Transcendental numbers and functions of several variables. (English) Zbl 0791.11032 Gouvêa, Fernando Q. (ed.) et al., Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen’s University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 67-80 (1993). Reviewer: Damien Roy (Ottawa) MSC: 11J81 11J86 11R99 PDFBibTeX XMLCite \textit{M. Waldschmidt}, in: Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen's University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 67--80 (1993; Zbl 0791.11032)
Beukers, F. Exotic values of G-functions. (English) Zbl 0792.11022 Gouvêa, Fernando Q. (ed.) et al., Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen’s University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 3-15 (1993). Reviewer: J.Wolfart (Frankfurt / Main) MSC: 11J91 11-02 11G07 14D05 PDFBibTeX XMLCite \textit{F. Beukers}, in: Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen's University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 3--15 (1993; Zbl 0792.11022)
Byerly, Robert E. Ordered subrings of the reals in which output sets are recursively enumerable. (English) Zbl 0783.03026 Proc. Am. Math. Soc. 118, No. 2, 597-601 (1993). MSC: 03D75 03D25 PDFBibTeX XMLCite \textit{R. E. Byerly}, Proc. Am. Math. Soc. 118, No. 2, 597--601 (1993; Zbl 0783.03026) Full Text: DOI
Masser, David; Wüstholz, Gisbert Periods and minimal abelian subvarieties. (English) Zbl 0796.11023 Ann. Math. (2) 137, No. 2, 407-458 (1993). Reviewer: S.David (Paris) MSC: 11G10 14K15 11J89 PDFBibTeX XMLCite \textit{D. Masser} and \textit{G. Wüstholz}, Ann. Math. (2) 137, No. 2, 407--458 (1993; Zbl 0796.11023) Full Text: DOI
Fliess, Michel Invertibility of causal discrete time dynamical systems. (English) Zbl 0780.58040 J. Pure Appl. Algebra 86, No. 2, 173-179 (1993). Reviewer: A.-A.Yakubu (Washington D.C.) MSC: 37-XX 12H10 39A70 PDFBibTeX XMLCite \textit{M. Fliess}, J. Pure Appl. Algebra 86, No. 2, 173--179 (1993; Zbl 0780.58040) Full Text: DOI
Borwein, J. M.; Borwein, P. B. On the generating function of the integer part: \([n\alpha{}+ \gamma{}]\). (English) Zbl 0778.11039 J. Number Theory 43, No. 3, 293-318 (1993). Reviewer: J.H.Loxton (North Ryde) MSC: 11J91 11J20 11J70 11B25 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{P. B. Borwein}, J. Number Theory 43, No. 3, 293--318 (1993; Zbl 0778.11039) Full Text: DOI
Xu, Guangshan The simultaneous approximation of certain numbers. (Chinese) Zbl 0783.11027 Acta Math. Sin. 36, No. 1, 74-81 (1993). Reviewer: Zhu Yaochen (Beijing) MSC: 11J91 11J13 11J25 11J17 PDFBibTeX XMLCite \textit{G. Xu}, Acta Math. Sin. 36, No. 1, 74--81 (1993; Zbl 0783.11027)
Becker, Paul-Georg Transcendence of the values of functions satisfying generalized Mahler type functional equations. (English) Zbl 0770.11037 J. Reine Angew. Math. 440, 111-128 (1993). Reviewer: P.-G.Becker (Köln) MSC: 11J81 11J91 PDFBibTeX XMLCite \textit{P.-G. Becker}, J. Reine Angew. Math. 440, 111--128 (1993; Zbl 0770.11037) Full Text: DOI Crelle EuDML
Pila, J. Geometric and arithmetic postulation of the exponential function. (English) Zbl 0773.11046 J. Aust. Math. Soc., Ser. A 54, No. 1, 111-127 (1993). Reviewer: M.Waldschmidt (Paris) MSC: 11J81 11J99 11C20 PDFBibTeX XMLCite \textit{J. Pila}, J. Aust. Math. Soc., Ser. A 54, No. 1, 111--127 (1993; Zbl 0773.11046)
Denis, Laurent Théorème de Baker et modules de Drinfeld. (Baker’s theorem and Drinfeld modules). (French) Zbl 0767.11029 J. Number Theory 43, No. 2, 203-215 (1993). Reviewer: D.Goss (Columbus / Ohio) MSC: 11G09 11T55 11G15 PDFBibTeX XMLCite \textit{L. Denis}, J. Number Theory 43, No. 2, 203--215 (1993; Zbl 0767.11029) Full Text: DOI
Amou, Masaaki On a classification of transcendental numbers by Sprindžuk. (Japanese) Zbl 1074.11507 RIMS Kokyuroku 837, 142-149 (1993). MSC: 11J81 PDFBibTeX XMLCite \textit{M. Amou}, RIMS Kokyuroku 837, 142--149 (1993; Zbl 1074.11507)
Nguyen Tien Tai Effective estimates of the algebraic independence measures with respect to the field \(K\) for the values of \(\text{KE}\)-functions. (Vietnamese. English summary) Zbl 0940.11505 Tạp Chí Toán Học 21, No. 3-4, 35-45 (1993). MSC: 11J91 11J85 PDFBibTeX XMLCite \textit{Nguyen Tien Tai}, Tạp Chí Toán Học 21, No. 3--4, 35--45 (1993; Zbl 0940.11505)
Kholyavka, Ya. M. On the approximation of certain numbers connected with Jacobi elliptic functions. (Ukrainian) Zbl 0956.11511 Mat. Stud. 2, 10-13 (1993). MSC: 11J89 11J13 PDFBibTeX XMLCite \textit{Ya. M. Kholyavka}, Mat. Stud. 2, 10--13 (1993; Zbl 0956.11511)
Allouche, Jean-Paul Finite automata and arithmetic. (English) Zbl 0903.11009 Sémin. Lothar. Comb. 30, B30c, 23 p. (1993). MSC: 11B85 68Q45 11-02 11J81 11G09 PDFBibTeX XMLCite \textit{J.-P. Allouche}, Sémin. Lothar. Comb. 30, B30c, 23 p. (1993; Zbl 0903.11009) Full Text: EuDML