Dasgupta, Samit Ranks of matrices of logarithms of algebraic numbers. I: The theorems of Baker and Waldschmidt-Masser. (English) Zbl 07789347 Essent. Number Theory 2, No. 1, 93-138 (2023). MSC: 11J81 PDFBibTeX XMLCite \textit{S. Dasgupta}, Essent. Number Theory 2, No. 1, 93--138 (2023; Zbl 07789347) Full Text: DOI arXiv
Maksoud, Alexandre On the rank of Leopoldt’s and Gross’s regulator maps. (English) Zbl 07787221 Doc. Math. 28, No. 6, 1441-1471 (2023). MSC: 11R27 11R23 PDFBibTeX XMLCite \textit{A. Maksoud}, Doc. Math. 28, No. 6, 1441--1471 (2023; Zbl 07787221) Full Text: DOI arXiv
Waldschmidt, Michel The four exponentials problem and Schanuel’s conjecture. (English) Zbl 07773782 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 579-592 (2023). MSC: 11J81 11J85 11R27 11J86 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Lect. Notes Math. 2313, 579--592 (2023; Zbl 07773782) Full Text: DOI
Mihăilescu, Preda A conditional proof of the Leopoldt conjecture for CM fields. (English) Zbl 1499.11339 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 465-472 (2021). MSC: 11R23 11R27 PDFBibTeX XMLCite \textit{P. Mihăilescu}, Springer Proc. Math. Stat. 373, 465--472 (2021; Zbl 1499.11339) Full Text: DOI
Suh, Junecue Ordinary primes in Hilbert modular varieties. (English) Zbl 1439.11124 Compos. Math. 156, No. 4, 647-678 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F41 14G35 11F30 11G18 PDFBibTeX XMLCite \textit{J. Suh}, Compos. Math. 156, No. 4, 647--678 (2020; Zbl 1439.11124) Full Text: DOI
Hui, Chun Yin The abelian part of a compatible system and \(\ell \)-independence of the Tate conjecture. (English) Zbl 1472.11168 Manuscr. Math. 161, No. 1-2, 223-246 (2020). MSC: 11F80 14F20 20G30 14C15 17B20 PDFBibTeX XMLCite \textit{C. Y. Hui}, Manuscr. Math. 161, No. 1--2, 223--246 (2020; Zbl 1472.11168) Full Text: DOI arXiv
Takahashi, Nobuyoshi Quandles associated to Galois covers of arithmetic schemes. (English) Zbl 1435.14024 Kyushu J. Math. 73, No. 1, 145-164 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 14G32 20N02 PDFBibTeX XMLCite \textit{N. Takahashi}, Kyushu J. Math. 73, No. 1, 145--164 (2019; Zbl 1435.14024) Full Text: DOI arXiv
Fischler, Stéphane; Nakamaye, Michael Multiplicity estimates and degeneration. (English) Zbl 1285.14004 Manuscr. Math. 143, No. 1-2, 239-251 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 14C17 11J85 14R20 14C20 14J17 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{M. Nakamaye}, Manuscr. Math. 143, No. 1--2, 239--251 (2014; Zbl 1285.14004) Full Text: DOI
Waldschmidt, Michel On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. (English) Zbl 1291.11104 Afr. Mat. 22, No. 1, 79-89 (2011). Reviewer: Peter Bundschuh (Köln) MSC: 11J89 11J95 11J61 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Afr. Mat. 22, No. 1, 79--89 (2011; Zbl 1291.11104) Full Text: DOI arXiv
Waldschmidt, Michel Auxiliary functions in transcendental number theory. (English) Zbl 1239.11080 Ramanujan J. 20, No. 3, 341-373 (2009). Reviewer: Peter Bundschuh (Köln) MSC: 11J81 30B70 30D20 32A15 33C20 42C05 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Ramanujan J. 20, No. 3, 341--373 (2009; Zbl 1239.11080) Full Text: DOI
Roy, Damien Interpolation formulas and auxiliary functions. (English) Zbl 1010.11039 J. Number Theory 94, No. 2, 248-285 (2002). Reviewer: P.Philippon (Paris) MSC: 11J81 11J85 11J89 41A05 32E30 PDFBibTeX XMLCite \textit{D. Roy}, J. Number Theory 94, No. 2, 248--285 (2002; Zbl 1010.11039) Full Text: DOI
Maire, Christian On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification. (English) Zbl 1026.11084 J. Number Theory 92, No. 2, 376-404 (2002). Reviewer: Florence Soriano-Gafiuk (Schweyen) MSC: 11R37 11R23 PDFBibTeX XMLCite \textit{C. Maire}, J. Number Theory 92, No. 2, 376--404 (2002; Zbl 1026.11084) Full Text: DOI
Roy, Damien An interpolation formula for two variables. (Une formule d’interpolation en deux variables.) (French) Zbl 1053.11063 J. Théor. Nombres Bordx. 13, No. 1, 315-323 (2001). Reviewer: Patrice Philippon (Paris) MSC: 11J85 32E30 41A10 PDFBibTeX XMLCite \textit{D. Roy}, J. Théor. Nombres Bordx. 13, No. 1, 315--323 (2001; Zbl 1053.11063) Full Text: DOI Numdam EuDML EMIS
Roy, Damien; Waldschmidt, Michel Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) (French) Zbl 0895.11030 Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 753-796 (1997). Reviewer: Peter Bundschuh (Köln) MSC: 11J85 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 753--796 (1997; Zbl 0895.11030) Full Text: DOI Numdam EuDML
Roy, Damien Points whose coordinates are logarithms of algebraic numbers on algebraic varieties. (English) Zbl 0833.11031 Acta Math. 175, No. 1, 49-73 (1995). Reviewer: M.Waldschmidt (Paris) MSC: 11J85 14M15 14M12 PDFBibTeX XMLCite \textit{D. Roy}, Acta Math. 175, No. 1, 49--73 (1995; Zbl 0833.11031) Full Text: DOI
Waldschmidt, Michel Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.) (French) Zbl 0837.11040 Exp. Math. 3, No. 4, 329-352 (1994). Reviewer: D.Roy (Ottawa) MSC: 11J81 14G05 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Exp. Math. 3, No. 4, 329--352 (1994; Zbl 0837.11040) Full Text: DOI EuDML EMIS
Roy, Damien Matrices whose coefficients are linear forms in logarithms. (English) Zbl 0763.11030 J. Number Theory 41, No. 1, 22-47 (1992). Reviewer: M.Waldschmidt (Paris) MSC: 11J81 11R27 PDFBibTeX XMLCite \textit{D. Roy}, J. Number Theory 41, No. 1, 22--47 (1992; Zbl 0763.11030) Full Text: DOI
Levesque, Claude \({\mathbb{Z}{}}_ p\)-independent systems of units. (English) Zbl 0777.11043 Proc. Japan Acad., Ser. A 68, No. 8, 239-241 (1992). Reviewer: K.Lakkis (Thessaloniki) MSC: 11R27 PDFBibTeX XMLCite \textit{C. Levesque}, Proc. Japan Acad., Ser. A 68, No. 8, 239--241 (1992; Zbl 0777.11043) Full Text: DOI
Roy, Damien Simultaneous approximation in number fields. (English) Zbl 0780.11060 Invent. Math. 109, No. 3, 547-556 (1992). Reviewer: D.Roy (Montréal) MSC: 11R99 14G25 22E15 11J99 PDFBibTeX XMLCite \textit{D. Roy}, Invent. Math. 109, No. 3, 547--556 (1992; Zbl 0780.11060) Full Text: DOI EuDML
Waldschmidt, Michel Auxiliary functions and analytical functionals. I. (Fonctions auxiliaires et fonctionnelles analytiques. I.) (French) Zbl 0742.11035 J. Anal. Math. 56, 231-254 (1991). Reviewer: Peter Bundschuh (Köln) MSC: 11J81 11J85 11J86 PDFBibTeX XMLCite \textit{M. Waldschmidt}, J. Anal. Math. 56, 231--254 (1991; Zbl 0742.11035) Full Text: DOI
David, Sinnou Fonctions thêta et points de torsion des variétés abéliennes. (Theta functions and torsion points of abelian varieties). (French) Zbl 0741.14025 Compos. Math. 78, No. 2, 121-160 (1991). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 14K15 14K25 14G40 14G99 11G10 PDFBibTeX XMLCite \textit{S. David}, Compos. Math. 78, No. 2, 121--160 (1991; Zbl 0741.14025) Full Text: Numdam EuDML
Diaz, Guy Sur l’approximation de \(\pi\) par des nombres algébriques particuliers. (On the approximation of \(\pi\) by special algebraic numbers). (French) Zbl 0705.11034 Compos. Math. 74, No. 3, 285-298 (1990). Reviewer: D.W.Masser MSC: 11J82 11J17 PDFBibTeX XMLCite \textit{G. Diaz}, Compos. Math. 74, No. 3, 285--298 (1990; Zbl 0705.11034) Full Text: Numdam EuDML
Berenstein, Carlos A.; Yger, Alain On Lojasiewicz-type inequalities for exponential polynomials. (English) Zbl 0638.30003 J. Math. Anal. Appl. 129, No. 1, 166-195 (1988). Reviewer: S.Patterson MSC: 30A10 33B10 11L03 PDFBibTeX XMLCite \textit{C. A. Berenstein} and \textit{A. Yger}, J. Math. Anal. Appl. 129, No. 1, 166--195 (1988; Zbl 0638.30003) Full Text: DOI
Kuz’min, L. V. Algebraic number fields. (English) Zbl 0621.12002 J. Sov. Math. 38, 1930-1988 (1987). MSC: 11-02 11Rxx 11Sxx 12Gxx PDFBibTeX XMLCite \textit{L. V. Kuz'min}, J. Sov. Math. 38, 1930--1988 (1987; Zbl 0621.12002) Full Text: DOI
Berenstein, Carlos A.; Yger, Alain Ideals generated by exponential-polynomials. (English) Zbl 0586.32019 Adv. Math. 60, 1-80 (1986). Reviewer: S.Patterson MSC: 32A38 11J81 PDFBibTeX XMLCite \textit{C. A. Berenstein} and \textit{A. Yger}, Adv. Math. 60, 1--80 (1986; Zbl 0586.32019) Full Text: DOI
Yu, Kunrui Linear forms in elliptic logarithms. (English) Zbl 0555.10017 J. Number Theory 20, 1-69 (1985). Reviewer: D.Bertrand MSC: 11J85 14H52 14L10 13H05 PDFBibTeX XMLCite \textit{K. Yu}, J. Number Theory 20, 1--69 (1985; Zbl 0555.10017) Full Text: DOI
Bertrand, D.; Emsalem, M.; Gramain, F.; Huttner, M.; Langevin, M.; Laurent, M.; Mignotte, M.; Moreau, J.-C.; Philippon, P.; Reyssat, E.; Waldschmidt, M. Les nombres transcendants. (French) Zbl 0548.10021 Mém. Soc. Math. Fr., Nouv. Sér. 13, 60 p. (1984). Reviewer: J.H.Loxton MSC: 11J81 11-02 PDFBibTeX XMLCite \textit{D. Bertrand} et al., Mém. Soc. Math. Fr., Nouv. Sér. 13, 60 p. (1984; Zbl 0548.10021) Full Text: DOI Numdam EuDML
Berenstein, C. A.; Taylor, B. A.; Yger, A. Sur les systèmes d’équations différence-différentielles. (French) Zbl 0493.34052 Ann. Inst. Fourier 33, No. 1, 109-130 (1983). MSC: 34K05 PDFBibTeX XMLCite \textit{C. A. Berenstein} et al., Ann. Inst. Fourier 33, No. 1, 109--130 (1983; Zbl 0493.34052) Full Text: DOI Numdam EuDML
Masser, D. W.; Wüstholz, G. Zero estimates on group varieties. I. (English) Zbl 0467.10025 Invent. Math. 64, 489-516 (1981). MSC: 11J81 14L10 30C15 33E05 11J85 13A15 32A30 PDFBibTeX XMLCite \textit{D. W. Masser} and \textit{G. Wüstholz}, Invent. Math. 64, 489--516 (1981; Zbl 0467.10025) Full Text: DOI EuDML
Masser, D. W. On polynomials and exponential polynomials in several complex variables. (English) Zbl 0436.32005 Invent. Math. 63, 81-95 (1981). MSC: 32A30 32A05 30C15 12D10 13F20 PDFBibTeX XMLCite \textit{D. W. Masser}, Invent. Math. 63, 81--95 (1981; Zbl 0436.32005) Full Text: DOI EuDML