Hartl, Urs; Juschka, Ann-Kristin Pink’s theory of Hodge structures and the Hodge conjecture over function fields. (English) Zbl 1451.14013 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 31-182 (2020). MSC: 14C15 14C30 11G09 11J93 11R58 13A35 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{A.-K. Juschka}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 31--182 (2020; Zbl 1451.14013) Full Text: DOI
Vergu, Cristian Polylogarithm identities, cluster algebras and the \(\mathcal{N} = 4\) supersymmetric theory. (English) Zbl 1444.81037 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 145-172 (2020). MSC: 81U05 81T13 81R60 81T15 11G55 11J89 13F60 17B63 PDF BibTeX XML Cite \textit{C. Vergu}, Springer Proc. Math. Stat. 314, 145--172 (2020; Zbl 1444.81037) Full Text: DOI
Böckle, Gebhard (ed.); Goss, David (ed.); Hartl, Urs (ed.); Papanikolas, Matthew (ed.) \(t\)-motives: Hodge structures, transcendence and other motivic aspects. (English) Zbl 1441.14003 EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-198-9/hbk; 978-3-03719-698-4/ebook). xi, 461 p. (2020). MSC: 14-06 11-06 14C15 14C30 11G09 11J93 11R58 13A35 00B15 PDF BibTeX XML Cite \textit{G. Böckle} (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS) (2020; Zbl 1441.14003) Full Text: DOI
Bharadwaj, Abhishek T. A note on the arithmetic Chowla-Milnor space. (English) Zbl 1450.11084 J. Ramanujan Math. Soc. 34, No. 4, 411-416 (2019). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J86 11M35 PDF BibTeX XML Cite \textit{A. T. Bharadwaj}, J. Ramanujan Math. Soc. 34, No. 4, 411--416 (2019; Zbl 1450.11084) Full Text: Link
Pandey, Anurag; Saxena, Nitin; Sinhababu, Amit Algebraic independence over positive characteristic: new criterion and applications to locally low-algebraic-rank circuits. (English) Zbl 1446.12001 Comput. Complexity 27, No. 4, 617-670 (2018). MSC: 12-08 68W30 68Q25 PDF BibTeX XML Cite \textit{A. Pandey} et al., Comput. Complexity 27, No. 4, 617--670 (2018; Zbl 1446.12001) Full Text: DOI
Demidov, S. S.; Morozova, E. A.; Chubarikov, V. N.; Rebrova, I. Yu.; Balaba, I. N.; Dobrovol’skiĭ, N. N.; Dobrovol’skiĭ, N. M.; Dobrovol’skaya, L. P.; Rodionov, A. V.; Pikhtil’kova, O. A. Number-theoretic method in approximate analysis. (Russian. English summary) Zbl 1434.11136 Chebyshevskiĭ Sb. 18, No. 4(64), 6-85 (2017). MSC: 11J82 11K06 11K45 11H06 11K50 11-02 PDF BibTeX XML Cite \textit{S. S. Demidov} et al., Chebyshevskiĭ Sb. 18, No. 4(64), 6--85 (2017; Zbl 1434.11136) Full Text: DOI MNR
Adamczewski, Boris; Bell, Jason P. A problem about Mahler functions. (English) Zbl 1432.11086 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 17, No. 4, 1301-1355 (2017). MSC: 11J81 11B85 65Q20 PDF BibTeX XML Cite \textit{B. Adamczewski} and \textit{J. P. Bell}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 17, No. 4, 1301--1355 (2017; Zbl 1432.11086) Full Text: DOI
Liu, Sheng-Chi; Masri, Riad A Kronecker limit formula for totally real fields and arithmetic applications. (English) Zbl 1378.11096 Res. Number Theory 1, Paper No. 8, 20 p. (2015). MSC: 11R42 11F70 11J91 11R29 11R80 PDF BibTeX XML Cite \textit{S.-C. Liu} and \textit{R. Masri}, Res. Number Theory 1, Paper No. 8, 20 p. (2015; Zbl 1378.11096) Full Text: DOI
Tretkoff, Paula Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds. (English) Zbl 1388.14035 J. Number Theory 152, 118-155 (2015). MSC: 14C30 11J81 PDF BibTeX XML Cite \textit{P. Tretkoff}, J. Number Theory 152, 118--155 (2015; Zbl 1388.14035) Full Text: DOI arXiv
Tretkoff, Paula \(K3\) surfaces with algebraic period ratios have complex multiplication. (English) Zbl 1366.14036 Int. J. Number Theory 11, No. 5, 1709-1724 (2015). MSC: 14J28 14K22 11J81 14C30 PDF BibTeX XML Cite \textit{P. Tretkoff}, Int. J. Number Theory 11, No. 5, 1709--1724 (2015; Zbl 1366.14036) Full Text: DOI
Nichita, Florin F. On transcendental numbers. (English) Zbl 1318.11092 Axioms 3, No. 1, 64-69 (2014). MSC: 11J81 11-02 PDF BibTeX XML Cite \textit{F. F. Nichita}, Axioms 3, No. 1, 64--69 (2014; Zbl 1318.11092) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
Yger, Alain A conjecture by Leon Ehrenpreis about zeroes of exponential polynomials. (English) Zbl 1261.42008 Farkas, Hershel M. (ed.) et al., From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Berlin: Springer (ISBN 978-1-4614-4074-1/hbk; 978-1-4614-4075-8/ebook). Developments in Mathematics 28, 517-535 (2013). MSC: 42A75 65Q10 11C08 11J81 39A70 14F10 PDF BibTeX XML Cite \textit{A. Yger}, Dev. Math. 28, 517--535 (2013; Zbl 1261.42008) Full Text: DOI
Tretkoff, Paula; Tretkoff, Marvin D. A transcendence criterion for CM on some families of Calabi-Yau manifolds. (English) Zbl 1348.14023 Farkas, Hershel M. (ed.) et al., From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Berlin: Springer (ISBN 978-1-4614-4074-1/hbk; 978-1-4614-4075-8/ebook). Developments in Mathematics 28, 475-490 (2013). Reviewer: Jimmy Dillies (Savannah) MSC: 14C30 11J81 14J30 14J32 32S25 PDF BibTeX XML Cite \textit{P. Tretkoff} and \textit{M. D. Tretkoff}, Dev. Math. 28, 475--490 (2013; Zbl 1348.14023) Full Text: DOI
Ma, Chao; Zhan, Xingzhi Extremal sparsity of the companion matrix of a polynomial. (English) Zbl 1269.15007 Linear Algebra Appl. 438, No. 1, 621-625 (2013). Reviewer: Cyril Fischer (Praha) MSC: 15A18 15A23 11C20 12E05 05C05 05C50 65F50 PDF BibTeX XML Cite \textit{C. Ma} and \textit{X. Zhan}, Linear Algebra Appl. 438, No. 1, 621--625 (2013; Zbl 1269.15007) Full Text: DOI
Li, Fuhuo; Wang, Nianliang; Kanemitsu, Shigeru Manifestations of the general modular relation. (English) Zbl 1296.11029 Šiauliai Math. Semin. 7(15), 59-77 (2012). Reviewer: Mehmet Cenkci (Antalya) MSC: 11F20 11F32 11J91 14J15 40C15 PDF BibTeX XML Cite \textit{F. Li} et al., Šiauliai Math. Semin. 7(15), 59--77 (2012; Zbl 1296.11029)
Genčev, Marian Evaluation of infinite series involving special products and their algebraic characterization. (English) Zbl 1209.11067 Math. Slovaca 59, No. 3, 365-378 (2009). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 33C20 11J91 33B15 33F05 40C10 PDF BibTeX XML Cite \textit{M. Genčev}, Math. Slovaca 59, No. 3, 365--378 (2009; Zbl 1209.11067) Full Text: DOI
Genčev, Marian Transcendence of certain infinite sums involving rational functions. (English) Zbl 1234.11094 Acta Math. Univ. Ostrav. 15, No. 1, 7-14 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11J81 PDF BibTeX XML Cite \textit{M. Genčev}, Acta Math. Univ. Ostrav. 15, No. 1, 7--14 (2007; Zbl 1234.11094) Full Text: Link EuDML
Cruz-Victoria, Juan; Martinez-Guerra, Rafael Fault reconstruction using differential algebraic methods. (English) Zbl 1142.93321 WSEAS Trans. Syst. 4, No. 12, 2269-2276 (2005). MSC: 93B25 93C10 13N99 PDF BibTeX XML Cite \textit{J. Cruz-Victoria} and \textit{R. Martinez-Guerra}, WSEAS Trans. Syst. 4, No. 12, 2269--2276 (2005; Zbl 1142.93321)
Prasad, Gopal; Rapinchuk, Andrei S. Zariski-dense subgroups and transcendental number theory. (English) Zbl 1072.22009 Math. Res. Lett. 12, No. 2-3, 239-249 (2005). Reviewer: Michael Wüstner (Darmstadt) MSC: 22E47 22E46 20G20 11J81 PDF BibTeX XML Cite \textit{G. Prasad} and \textit{A. S. Rapinchuk}, Math. Res. Lett. 12, No. 2--3, 239--249 (2005; Zbl 1072.22009) Full Text: DOI
Muñoz Garcia, E.; Pérez-Marco, R. Diophantine conditions in small divisors and transcendental number theory. (English) Zbl 1138.11333 Discrete Contin. Dyn. Syst. 9, No. 6, 1401-1409 (2003). MSC: 11J82 11J97 PDF BibTeX XML Cite \textit{E. Muñoz Garcia} and \textit{R. Pérez-Marco}, Discrete Contin. Dyn. Syst. 9, No. 6, 1401--1409 (2003; Zbl 1138.11333) Full Text: DOI
Chen, Yonggao; Zhu, Yaochen Algebraic independence of certain numbers. (English) Zbl 0943.11035 Acta Math. Sin., Engl. Ser. 15, No. 4, 507-514 (1999). Reviewer: P.Bundschuh (Köln) MSC: 11J91 11J85 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{Y. Zhu}, Acta Math. Sin., Engl. Ser. 15, No. 4, 507--514 (1999; Zbl 0943.11035) Full Text: DOI
Philippon, Patrice Some remarks on questions of diophantine approximation. (Quelques remarques sur des questions d’approximation diophantienne.) (French) Zbl 0927.11040 Bull. Aust. Math. Soc. 59, No. 2, 323-334 (1999). Reviewer: P.Bundschuh (Köln) MSC: 11J13 11J82 11J25 PDF BibTeX XML Cite \textit{P. Philippon}, Bull. Aust. Math. Soc. 59, No. 2, 323--334 (1999; Zbl 0927.11040) Full Text: DOI
Delaleau, E.; Rudolph, J. Control of flat systems by quasi-static feedback of generalized states. (English) Zbl 0962.93019 Int. J. Control 71, No. 5, 745-765 (1998). Reviewer: Peter Kraut (Erlabrunn) MSC: 93B25 PDF BibTeX XML Cite \textit{E. Delaleau} and \textit{J. Rudolph}, Int. J. Control 71, No. 5, 745--765 (1998; Zbl 0962.93019) Full Text: DOI
Roy, Damien; Waldschmidt, Michel Simultaneous approximation and algebraic independence. (English) Zbl 0916.11042 Ramanujan J. 1, No. 4, 379-430 (1997). Reviewer: Guy Diaz (Saint-Etienne) MSC: 11J85 11J82 11J89 11J91 PDF BibTeX XML Cite \textit{D. Roy} and \textit{M. Waldschmidt}, Ramanujan J. 1, No. 4, 379--430 (1997; Zbl 0916.11042) Full Text: DOI
Grytczuk, Jarosław On a result of Shallit and Pethö. (English) Zbl 0859.11045 Publ. Math. 46, No. 1-2, 11-17 (1995). Reviewer: J.Hančl (Ostrava) MSC: 11J70 11A55 11J81 40C05 PDF BibTeX XML Cite \textit{J. Grytczuk}, Publ. Math. 46, No. 1--2, 11--17 (1995; Zbl 0859.11045)
Johnson, Joseph; Reinhart, Georg M.; Rubel, Lee A. Some counterexamples to separation of variables. (English) Zbl 0835.35005 J. Differ. Equations 121, No. 1, 42-66 (1995). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 35A25 PDF BibTeX XML Cite \textit{J. Johnson} et al., J. Differ. Equations 121, No. 1, 42--66 (1995; Zbl 0835.35005) Full Text: DOI
Dubickas, Artūras Refined approximation to \(\pi/ \sqrt 3\) by rational fractions. (English. Russian original) Zbl 0844.11045 Mosc. Univ. Math. Bull. 48, No. 6, 44-45 (1993); translation from Vestn. Mosk. Univ., Ser. I 1993, No. 6, 76-77 (1993). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J04 11J82 11F70 PDF BibTeX XML Cite \textit{A. Dubickas}, Mosc. Univ. Math. Bull. 48, No. 6, 44--45 (1993; Zbl 0844.11045); translation from Vestn. Mosk. Univ., Ser. I 1993, No. 6, 76--77 (1993)
Mignotte, Maurice Verification of a conjecture of E. Thomas. (English) Zbl 0780.11013 J. Number Theory 44, No. 2, 172-177 (1993). Reviewer: M.Waldschmidt (Paris) MSC: 11D25 11J82 11J86 PDF BibTeX XML Cite \textit{M. Mignotte}, J. Number Theory 44, No. 2, 172--177 (1993; Zbl 0780.11013) Full Text: DOI
Roy, Damien Transcendance et questions de répartition dans les groupes algébriques. (Transcendence and questions of distribution in algebraic groups). (French) Zbl 0763.11031 Approximations diophantiennes et nombres transcendants, C.-R. Colloq., Luminy/Fr. 1990, 249-274 (1992). Reviewer: M.Waldschmidt (Paris) MSC: 11J81 PDF BibTeX XML Cite \textit{D. Roy}, in: Approximations diophantiennes et nombres transcendants. Comptes-rendus du colloque tenu au C.I.R.M. de Luminy, France, 18-22 Juin, 1990. Berlin etc.: de Gruyter. 249--274 (1992; Zbl 0763.11031)
Loxton, J. H.; van der Poorten, A. J. Arithmetic properties of automata: regular sequences. (English) Zbl 0656.10033 J. Reine Angew. Math. 392, 57-69 (1988). Reviewer: J.-P.Allouche MSC: 11J81 68Q70 11J85 11B99 PDF BibTeX XML Cite \textit{J. H. Loxton} and \textit{A. J. van der Poorten}, J. Reine Angew. Math. 392, 57--69 (1988; Zbl 0656.10033) Full Text: Crelle EuDML
Wüstholz, G. Algebraic groups, Hodge theory, and transcendence. (English) Zbl 0679.10023 Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 1, 476-483 (1987). Reviewer: P.Philippon MSC: 11J81 14C30 PDF BibTeX XML
Bertrand, Daniel Galois orbits on abelian varieties and zero estimates. (English) Zbl 0597.10032 Diophantine analysis, Proc. Number Theory Sect. Aust. Math. Soc. Conv., Univ. New South Wales 1985, Lond. Math. Soc. Lect. Note Ser. 109, 21-35 (1986). Reviewer: F.Gramain MSC: 11J81 14K15 PDF BibTeX XML
Cijsouw, P. L. Gap series and algebraic independence. (English) Zbl 0551.10029 EUT-Rep., Eindhoven 84-WSK-03, 111-119 (1984). Reviewer: P.Bundschuh MSC: 11J85 PDF BibTeX XML
Beukers, F. The values of polylogarithms. (English) Zbl 0545.10022 Topics in classical number theory, Colloq. Budapest 1981, Vol. I, Colloq. Math. Soc. János Bolyai 34, 219-228 (1984). MSC: 11J81 41A21 14H52 PDF BibTeX XML
Moreau, Jean-Charles Démonstrations géométriques de lemmes de zéros. I, II. (Geometric proofs of zero estimates. I, II). (French) Zbl 0578.10040 Théorie des nombres, Sémin. Delange-Pisot-Poitou, Paris 1981/82, Prog. Math. 38, 201-205 (1983); Approximations diophantiennes et nombres transcendants, Colloq. Luminy/Fr. 1982, Prog. Math. 31, 191-197 (1983). Reviewer: D.W.Masser MSC: 11J81 14C30 PDF BibTeX XML
Sieburg, Hans-Bernd Transzendenz und algebraische Unabhängigkeit in einer Klasse nichtarchimedisch bewerteter Körper der Charakteristik Null. (Transcendence and algebraic independence in a class of nonarchimedian fields of characteristics zero). (German) Zbl 0561.10015 Mathematisch-Naturwissenschaftliche Fakultät der Universität zu Köln. 134 S. (1983); Abstract of thesis in Result. Math. 7, 113-114 (1984). Reviewer: M.Waldschmidt MSC: 11J81 11J85 11J61 12F20 12J25 PDF BibTeX XML
Okamoto, Mariko On a certain decomposition of 2-dimensional cycles on a product of two algebraic surfaces. (English) Zbl 0529.14006 Proc. Japan Acad., Ser. A 57, 321-325 (1981). MSC: 14C30 14J35 14C15 14F25 14F45 PDF BibTeX XML Cite \textit{M. Okamoto}, Proc. Japan Acad., Ser. A 57, 321--325 (1981; Zbl 0529.14006) Full Text: DOI
Tijdeman, R. Diophantine equations (Approximation methods). (English) Zbl 0463.10010 Number theory and computers, Studyweek, Math. Cent. Amsterdam 1980, 261-277 (1980). MSC: 11D61 11D25 11J81 11J68 PDF BibTeX XML
Väänänen, Keijo On transcendental numbers. (Finnish) Zbl 0442.10022 Arkhimedes 32, 165-174 (1980). MSC: 11J81 11-02 PDF BibTeX XML Cite \textit{K. Väänänen}, Arkhimedes 32, 165--174 (1980; Zbl 0442.10022)
Chudnovsky, G. V. Transcendental numbers. (English) Zbl 0418.10031 Number theory, Proc. Conf., Carbondale 1979, Lect. Notes Math. 751, 45-69 (1979). MSC: 11J81 41A21 PDF BibTeX XML
Harder, G. Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern. (German) Zbl 0391.20036 Invent. Math. 42, 135-175 (1977). MSC: 20G30 20J05 18F25 11R58 11T55 PDF BibTeX XML Cite \textit{G. Harder}, Invent. Math. 42, 135--175 (1977; Zbl 0391.20036) Full Text: DOI EuDML
Gel’fond, A. O.; Linnik, Yu. V. Elementary methods in analytic number theory. (Ѐлементарные методы в аналитической теории чисел.) (Russian) Zbl 0111.04803 Moskva: Gos. Izdat. Fiz.-Mat. Lit., 272 p. (1962). Reviewer: L. Mirsky MSC: 11-02 11Nxx 11Pxx 11B05 11N35 11N36 11P05 11P21 11J81 PDF BibTeX XML