Fischler, Stéphane; Rivoal, Tanguy Values of \(E\)-functions are not Liouville numbers. (Les valeurs des \(E\)-fonctions ne sont pas des nombres de Liouville.) (English. French summary) Zbl 07811888 J. Éc. Polytech., Math. 11, 1-18 (2024). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J91 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, J. Éc. Polytech., Math. 11, 1--18 (2024; Zbl 07811888) Full Text: DOI arXiv
Bostan, Alin; Rivoal, Tanguy; Salvy, Bruno Minimization of differential equations and algebraic values of \(E\)-functions. (English) Zbl 07810339 Math. Comput. 93, No. 347, 1427-1472 (2024). MSC: 68W30 11J81 16S32 34M15 33F10 PDFBibTeX XMLCite \textit{A. Bostan} et al., Math. Comput. 93, No. 347, 1427--1472 (2024; Zbl 07810339) Full Text: DOI arXiv
Barroero, Fabrizio; Capuano, Laura; Turchet, Amos Greatest common divisor results on semiabelian varieties and a conjecture of Silverman. (English) Zbl 07801558 Res. Number Theory 10, No. 1, Paper No. 17, 16 p. (2024). MSC: 11G10 14K15 14G05 PDFBibTeX XMLCite \textit{F. Barroero} et al., Res. Number Theory 10, No. 1, Paper No. 17, 16 p. (2024; Zbl 07801558) Full Text: DOI arXiv OA License
Murakami, Shintaro; Tachiya, Yohei Linear independence of certain numbers in the base-\(b\) number system. (English) Zbl 07787339 Arch. Math. 122, No. 1, 31-40 (2024). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 PDFBibTeX XMLCite \textit{S. Murakami} and \textit{Y. Tachiya}, Arch. Math. 122, No. 1, 31--40 (2024; Zbl 07787339) Full Text: DOI arXiv
Wang, Wei Algebraic independence of values of quasi-modular forms. (English) Zbl 07765129 J. Number Theory 255, 85-97 (2024). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11F99 11J81 11J85 PDFBibTeX XMLCite \textit{W. Wang}, J. Number Theory 255, 85--97 (2024; Zbl 07765129) Full Text: DOI
Chirskiĭ, Vladimir Grigor’evich On polyadic numbers. (Russian. English summary) Zbl 07804953 Chebyshevskiĭ Sb. 24, No. 2(88), 276-283 (2023). MSC: 11J61 11J91 PDFBibTeX XMLCite \textit{V. G. Chirskiĭ}, Chebyshevskiĭ Sb. 24, No. 2(88), 276--283 (2023; Zbl 07804953) Full Text: DOI MNR
Chirskii, V. G. Algebraic properties of points of some infinite-dimensional metric spaces. (English. Russian original) Zbl 07798727 J. Math. Sci., New York 276, No. 3, 430-436 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 81-87 (2020). MSC: 11J91 11J61 PDFBibTeX XMLCite \textit{V. G. Chirskii}, J. Math. Sci., New York 276, No. 3, 430--436 (2023; Zbl 07798727); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 81--87 (2020) Full Text: DOI
Matveev, V. Yu. Infinite algebraic independence of some almost polyadic numbers. (English. Russian original) Zbl 07798718 J. Math. Sci., New York 276, No. 3, 379-383 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 29-33 (2020). MSC: 11J91 11J61 PDFBibTeX XMLCite \textit{V. Yu. Matveev}, J. Math. Sci., New York 276, No. 3, 379--383 (2023; Zbl 07798718); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 29--33 (2020) Full Text: DOI
Eskandari, Payman; Murty, V. Kumar The fundamental group of an extension in a Tannakian category and the unipotent radical of the Mumford-Tate group of an open curve. (English) Zbl 07792061 Pac. J. Math. 325, No. 2, 255-279 (2023). MSC: 11G30 14C30 18D30 PDFBibTeX XMLCite \textit{P. Eskandari} and \textit{V. K. Murty}, Pac. J. Math. 325, No. 2, 255--279 (2023; Zbl 07792061) Full Text: DOI
Palojärvi, Neea Explicit results for Euler’s factorial series in arithmetic progressions under GRH. (English) Zbl 07791433 Acta Arith. 211, No. 4, 289-322 (2023). MSC: 11J61 41A21 33E50 PDFBibTeX XMLCite \textit{N. Palojärvi}, Acta Arith. 211, No. 4, 289--322 (2023; Zbl 07791433) Full Text: DOI arXiv
Fischler, S.; Rivoal, T. Effective algebraic independence of values of \(E\)-functions. (English) Zbl 07761134 Math. Z. 305, No. 3, Paper No. 48, 17 p. (2023). Reviewer: Michel Waldschmidt (Paris) MSC: 11J91 13P10 33E30 34M05 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Math. Z. 305, No. 3, Paper No. 48, 17 p. (2023; Zbl 07761134) Full Text: DOI arXiv
Capuano, Laura An overview on problems of unlikely intersections in families of abelian varieties. (English) Zbl 1525.14030 Expo. Math. 41, No. 3, 603-617 (2023). Reviewer: Mounir Hajli (Shanghai) MSC: 14G40 11G05 11U09 11G50 14G25 PDFBibTeX XMLCite \textit{L. Capuano}, Expo. Math. 41, No. 3, 603--617 (2023; Zbl 1525.14030) Full Text: DOI
Chirskii, V. G. Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters. (English. Russian original) Zbl 07735230 Dokl. Math. 107, No. 2, 109-111 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 29-32 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J91 11J61 11J81 11J85 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 107, No. 2, 109--111 (2023; Zbl 07735230); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 29--32 (2023) Full Text: DOI
Fonseca, Tiago J. Higher Ramanujan equations and periods of abelian varieties. (English) Zbl 07726588 Memoirs of the American Mathematical Society 1391. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6019-8/pbk; 978-1-4704-7324-2/ebook). xxv, 125 p. (2023). MSC: 14K10 11G18 11J81 14D23 32G15 37F75 PDFBibTeX XMLCite \textit{T. J. Fonseca}, Higher Ramanujan equations and periods of abelian varieties. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07726588) Full Text: DOI arXiv
Duverney, Daniel; Tachiya, Yohei Linear independence of certain sums of reciprocals of the Lucas numbers. (English) Zbl 07692658 Period. Math. Hung. 86, No. 2, 378-394 (2023). MSC: 11J72 11B39 PDFBibTeX XMLCite \textit{D. Duverney} and \textit{Y. Tachiya}, Period. Math. Hung. 86, No. 2, 378--394 (2023; Zbl 07692658) Full Text: DOI
Edixhoven, Bas; Lido, Guido Geometric quadratic Chabauty. (English) Zbl 07662119 J. Inst. Math. Jussieu 22, No. 1, 279-333 (2023). MSC: 14G05 11G30 PDFBibTeX XMLCite \textit{B. Edixhoven} and \textit{G. Lido}, J. Inst. Math. Jussieu 22, No. 1, 279--333 (2023; Zbl 07662119) Full Text: DOI arXiv
Ruan, Yongbin; Zhang, Yingchun; Zhou, Jie Genus two Siegel quasi-modular forms and Gromov-Witten theory of toric Calabi-Yau threefolds. (English) Zbl 1506.11071 Commun. Math. Phys. 398, No. 2, 757-796 (2023). MSC: 11F41 14N35 14J32 PDFBibTeX XMLCite \textit{Y. Ruan} et al., Commun. Math. Phys. 398, No. 2, 757--796 (2023; Zbl 1506.11071) Full Text: DOI arXiv
Eskandari, Payman; Murty, V. Kumar On unipotent radicals of motivic Galois groups. (English) Zbl 1516.14047 Algebra Number Theory 17, No. 1, 165-215 (2023). MSC: 14F42 11M32 18M25 32G20 PDFBibTeX XMLCite \textit{P. Eskandari} and \textit{V. K. Murty}, Algebra Number Theory 17, No. 1, 165--215 (2023; Zbl 1516.14047) Full Text: DOI arXiv
Burungale, Ashay A.; Skinner, Christopher A note on rank one quadratic twists of elliptic curves and the non-degeneracy of \(p\)-adic regulators at Eisenstein primes. (English) Zbl 1518.11044 Proc. Am. Math. Soc., Ser. B 10, 13-32 (2023). Reviewer: David McKinnon (Waterloo) MSC: 11G05 11G40 11G50 PDFBibTeX XMLCite \textit{A. A. Burungale} and \textit{C. Skinner}, Proc. Am. Math. Soc., Ser. B 10, 13--32 (2023; Zbl 1518.11044) Full Text: DOI
Barroero, Fabrizio; Kühne, Lars; Schmidt, Harry Unlikely intersections of curves with algebraic subgroups in semiabelian varieties. (English) Zbl 1518.11046 Sel. Math., New Ser. 29, No. 2, Paper No. 18, 37 p. (2023). Reviewer: Xiao Xiao (Utica) MSC: 11G10 03C64 11G50 14G40 14K99 PDFBibTeX XMLCite \textit{F. Barroero} et al., Sel. Math., New Ser. 29, No. 2, Paper No. 18, 37 p. (2023; Zbl 1518.11046) Full Text: DOI arXiv
Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna Euler’s factorial series, Hardy integral, and continued fractions. (English) Zbl 1514.11043 J. Number Theory 244, 224-250 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J61 11J70 11J85 PDFBibTeX XMLCite \textit{A.-M. Ernvall-Hytönen} et al., J. Number Theory 244, 224--250 (2023; Zbl 1514.11043) Full Text: DOI arXiv
Plessis, Arnaud Points of small height on semi-abelian varieties of the form \(\mathbb{G}_m^n \times A\). (Points de petite hauteur sur une variété semi-abélienne de la forme \(\mathbb{G}_m^n \times A\).) (French. English summary) Zbl 1523.11100 Bull. Lond. Math. Soc. 54, No. 6, 2278-2296 (2022). MSC: 11G05 11G50 PDFBibTeX XMLCite \textit{A. Plessis}, Bull. Lond. Math. Soc. 54, No. 6, 2278--2296 (2022; Zbl 1523.11100) Full Text: DOI arXiv
Chirskii, V. G. Infinite linear independence with constraints on a subset of prime numbers for values of Euler-type series with polyadic Liouville parameter. (English. Russian original) Zbl 1517.11079 Dokl. Math. 106, Part Suppl. 2, S154-S160 (2022); translation from Chebyshevskiĭ Sb. 23, No. 1(82), 153-166 (2022). MSC: 11J61 11J82 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 106, Part Suppl. 2, S154--S160 (2022; Zbl 1517.11079); translation from Chebyshevskiĭ Sb. 23, No. 1(82), 153--166 (2022) Full Text: DOI
Chirskii, V. G. Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter. (English. Russian original) Zbl 1517.11078 Dokl. Math. 106, Part Suppl. 2, S150-S153 (2022); translation from Chebyshevskiĭ Sb. 22, No. 2(78), 304-312 (2021). MSC: 11J61 11J72 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 106, Part Suppl. 2, S150--S153 (2022; Zbl 1517.11078); translation from Chebyshevskiĭ Sb. 22, No. 2(78), 304--312 (2021) Full Text: DOI
Chirskii, V. G. Arithmetic properties of polyadic integers. (English. Russian original) Zbl 1517.11087 Dokl. Math. 106, Part Suppl. 2, S142-S146 (2022); translation from Chebyshevskiĭ Sb. 16, No. 1(53), 254-264 (2015). MSC: 11J72 11J61 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 106, Part Suppl. 2, S142--S146 (2022; Zbl 1517.11087); translation from Chebyshevskiĭ Sb. 16, No. 1(53), 254--264 (2015) Full Text: DOI
Chirskii, V. G. Polyadic estimates for \(F\)-series. (English. Russian original) Zbl 1517.11086 Dokl. Math. 106, Part Suppl. 2, S134-S136 (2022); translation from Chebyshevskiĭ Sb. 13, No. 2(42), 131-135 (2012). MSC: 11J72 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 106, Part Suppl. 2, S134--S136 (2022; Zbl 1517.11086); translation from Chebyshevskiĭ Sb. 13, No. 2(42), 131--135 (2012) Full Text: DOI
Chinburg, Ted; Friedman, Eduardo; Sundstrom, James [Rodriguez Villegas, Fernando] On Bertrand’s and Rodriguez Villegas’ higher-dimensional Lehmer conjecture. (English) Zbl 1521.11065 Pac. J. Math. 321, No. 1, 119-165 (2022). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11R27 PDFBibTeX XMLCite \textit{T. Chinburg} et al., Pac. J. Math. 321, No. 1, 119--165 (2022; Zbl 1521.11065) Full Text: DOI
Chirskii, V. G. Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters. (English. Russian original) Zbl 1510.11126 Dokl. Math. 106, No. 2, 386-397 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 95-107 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J85 11J91 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 106, No. 2, 386--397 (2022; Zbl 1510.11126); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 95--107 (2022) Full Text: DOI
Corvaja, Pietro; Demeio, Julian Lawrence; Javanpeykar, Ariyan; Lombardo, Davide; Zannier, Umberto On the distribution of rational points on ramified covers of abelian varieties. (English) Zbl 1506.14048 Compos. Math. 158, No. 11, 2109-2155 (2022). Reviewer: Ana María Botero (Regensburg) MSC: 14G05 11G35 11G10 14K15 PDFBibTeX XMLCite \textit{P. Corvaja} et al., Compos. Math. 158, No. 11, 2109--2155 (2022; Zbl 1506.14048) Full Text: DOI arXiv
Lombardo, Davide; Tronto, Sebastiano Some uniform bounds for elliptic curves over \(\mathbb{Q} \). (English) Zbl 1526.11026 Pac. J. Math. 320, No. 1, 133-175 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11G05 14K15 PDFBibTeX XMLCite \textit{D. Lombardo} and \textit{S. Tronto}, Pac. J. Math. 320, No. 1, 133--175 (2022; Zbl 1526.11026) Full Text: DOI arXiv
Barroero, Fabrizio; Capuano, Laura; Zannier, Umberto Betti maps, Pell equations in polynomials and almost-Belyi maps. (English) Zbl 1523.11102 Forum Math. Sigma 10, Paper No. e84, 23 p. (2022). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G10 11D09 14E22 14D22 PDFBibTeX XMLCite \textit{F. Barroero} et al., Forum Math. Sigma 10, Paper No. e84, 23 p. (2022; Zbl 1523.11102) Full Text: DOI arXiv
Chirskii, V. G. New problems in the theory of transcendental polyadic numbers. (English. Russian original) Zbl 1503.11101 Dokl. Math. 106, No. 1, 265-267 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 63-65 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J61 11J85 11J81 11J91 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 106, No. 1, 265--267 (2022; Zbl 1503.11101); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 63--65 (2022) Full Text: DOI
Forst, Maxwell; Fukshansky, Lenny Counting basis extensions in a lattice. (English) Zbl 1501.11069 Proc. Am. Math. Soc. 150, No. 8, 3199-3213 (2022). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11C08 11C20 11D85 11D45 PDFBibTeX XMLCite \textit{M. Forst} and \textit{L. Fukshansky}, Proc. Am. Math. Soc. 150, No. 8, 3199--3213 (2022; Zbl 1501.11069) Full Text: DOI arXiv
Duverney, Daniel; Elsner, Carsten; Kaneko, Masanobu; Tachiya, Yohei A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers. (English) Zbl 1493.11110 Res. Number Theory 8, No. 2, Paper No. 31, 13 p. (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J85 11F03 11F20 11B39 PDFBibTeX XMLCite \textit{D. Duverney} et al., Res. Number Theory 8, No. 2, Paper No. 31, 13 p. (2022; Zbl 1493.11110) Full Text: DOI
Castella, Francesc; Wan, Xin The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions. (English) Zbl 1495.11123 Adv. Math. 400, Article ID 108266, 45 p. (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11G05 11G40 PDFBibTeX XMLCite \textit{F. Castella} and \textit{X. Wan}, Adv. Math. 400, Article ID 108266, 45 p. (2022; Zbl 1495.11123) Full Text: DOI
Bertolini, Massimo; Darmon, Henri; Venerucci, Rodolfo Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou. (English) Zbl 1495.11066 Adv. Math. 398, Article ID 108172, 50 p. (2022). Reviewer: François Brunault (Lyon) MSC: 11F67 11G40 11G35 PDFBibTeX XMLCite \textit{M. Bertolini} et al., Adv. Math. 398, Article ID 108172, 50 p. (2022; Zbl 1495.11066) Full Text: DOI
Bertolin, Cristiana; Philippon, Patrice; Saha, Biswajyoti; Saha, Ekata Semi-abelian analogues of Schanuel conjecture and applications. (English) Zbl 1495.11085 J. Algebra 596, 250-288 (2022). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J81 11J89 14K20 14K25 PDFBibTeX XMLCite \textit{C. Bertolin} et al., J. Algebra 596, 250--288 (2022; Zbl 1495.11085) Full Text: DOI arXiv
Duc Hiep Pham Elliptic curves and \(p\)-adic elliptic transcendence. (English) Zbl 1490.14053 Bull. Aust. Math. Soc. 105, No. 1, 31-36 (2022). Reviewer: Clemens Fuchs (Salzburg) MSC: 14H52 11J89 11G07 11S99 PDFBibTeX XMLCite \textit{Duc Hiep Pham}, Bull. Aust. Math. Soc. 105, No. 1, 31--36 (2022; Zbl 1490.14053) Full Text: DOI
Balakrishnan, J. S.; Best, A. J.; Bianchi, F.; Lawrence, B.; Müller, J. S.; Triantafillou, N.; Vonk, J. Two recent \(p\)-adic approaches towards the (effective) Mordell conjecture. (English) Zbl 1489.14034 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 31-74 (2021). Reviewer: Robin Zhang (Princeton) MSC: 14G05 11G18 11G50 11Y50 PDFBibTeX XMLCite \textit{J. S. Balakrishnan} et al., Prog. Math. 338, 31--74 (2021; Zbl 1489.14034) Full Text: DOI arXiv
Chirskii, V. G. Arithmetic properties of an Euler-type series with polyadic Liouville parameter. (English) Zbl 1473.11142 Russ. J. Math. Phys. 28, No. 3, 293-302 (2021). MSC: 11J61 30B10 11J91 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Russ. J. Math. Phys. 28, No. 3, 293--302 (2021; Zbl 1473.11142) Full Text: DOI
Duverney, Daniel; Tachiya, Yohei Algebraic independence of certain infinite products involving the Fibonacci numbers. (English) Zbl 1477.11127 Proc. Japan Acad., Ser. A 97, No. 5, 29-31 (2021). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J85 11B39 11F27 PDFBibTeX XMLCite \textit{D. Duverney} and \textit{Y. Tachiya}, Proc. Japan Acad., Ser. A 97, No. 5, 29--31 (2021; Zbl 1477.11127) Full Text: DOI arXiv
Dill, Gabriel A. Unlikely intersections between isogeny orbits and curves. (English) Zbl 1507.11054 J. Eur. Math. Soc. (JEMS) 23, No. 7, 2405-2438 (2021). MSC: 11G18 11G50 11U09 14G40 14K02 PDFBibTeX XMLCite \textit{G. A. Dill}, J. Eur. Math. Soc. (JEMS) 23, No. 7, 2405--2438 (2021; Zbl 1507.11054) Full Text: DOI arXiv
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano The degree of Kummer extensions of number fields. (English) Zbl 1476.11135 Int. J. Number Theory 17, No. 5, 1091-1110 (2021). Reviewer: Henri Johnston (Exeter) MSC: 11R20 11R21 11Y40 PDFBibTeX XMLCite \textit{A. Perucca} et al., Int. J. Number Theory 17, No. 5, 1091--1110 (2021; Zbl 1476.11135) Full Text: DOI
Corvaja, Pietro; Zannier, Umberto Unramified sections of the Legendre scheme and modular forms. (English) Zbl 1497.11147 J. Geom. Phys. 166, Article ID 104266, 26 p. (2021). Reviewer: Sungkon Chang (Savannah) MSC: 11G05 11F03 14D05 14H52 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, J. Geom. Phys. 166, Article ID 104266, 26 p. (2021; Zbl 1497.11147) Full Text: DOI
Fischler, S.; Rivoal, T. Linear independence of values of \(G\)-functions. II: Outside the disk of convergence. (English) Zbl 1476.11099 Ann. Math. Qué. 45, No. 1, 53-93 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11J72 11J91 34M35 41A60 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Ann. Math. Qué. 45, No. 1, 53--93 (2021; Zbl 1476.11099) Full Text: DOI arXiv
Amoroso, Francesco; David, Sinnou Covolumes, units, regulator: conjectures by D. Bertrand and F. Rodriguez-Villegas. (Covolumes, unités, régulateur: conjectures de D. Bertrand et F. Rodriguez-Villegas.) (French. English summary) Zbl 1470.11183 Ann. Math. Qué. 45, No. 1, 1-18 (2021). Reviewer: Riccardo Pengo (Lyon) MSC: 11G50 11R06 11R27 PDFBibTeX XMLCite \textit{F. Amoroso} and \textit{S. David}, Ann. Math. Qué. 45, No. 1, 1--18 (2021; Zbl 1470.11183) Full Text: DOI
Cao, Jin; Movasati, Hossein; Yau, Shing-Tung Gauss-Manin connection in disguise: genus two curves. (English) Zbl 1510.14023 Adv. Math. 383, Article ID 107684, 37 p. (2021). MSC: 14H10 11F46 32N05 PDFBibTeX XMLCite \textit{J. Cao} et al., Adv. Math. 383, Article ID 107684, 37 p. (2021; Zbl 1510.14023) Full Text: DOI arXiv
Bertrand, Daniel Revisiting Manin’s theorem of the kernel. (English. French summary) Zbl 1459.14017 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1301-1318 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14K05 32G20 11G10 12H05 34M55 PDFBibTeX XMLCite \textit{D. Bertrand}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1301--1318 (2021; Zbl 1459.14017) Full Text: DOI
Giacomini, Michele Cyclotomic torsion points in elliptic schemes. (English) Zbl 1491.11058 Manuscr. Math. 165, No. 1-2, 89-104 (2021). Reviewer: Sungkon Chang (Savannah) MSC: 11G05 11U09 PDFBibTeX XMLCite \textit{M. Giacomini}, Manuscr. Math. 165, No. 1--2, 89--104 (2021; Zbl 1491.11058) Full Text: DOI arXiv
Jones, Gareth; Schmidt, Harry Pfaffian definitions of Weierstrass elliptic functions. (English) Zbl 1457.14124 Math. Ann. 379, No. 1-2, 825-864 (2021). Reviewer: Fujita Masato (Kure) MSC: 14P10 30E05 11F03 03C64 PDFBibTeX XMLCite \textit{G. Jones} and \textit{H. Schmidt}, Math. Ann. 379, No. 1--2, 825--864 (2021; Zbl 1457.14124) Full Text: DOI arXiv
Cerchia, Michael; Rouse, Jeremy Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves. (English) Zbl 1464.11055 Proc. Am. Math. Soc. 149, No. 2, 583-589 (2021). MSC: 11F80 11G05 12G05 PDFBibTeX XMLCite \textit{M. Cerchia} and \textit{J. Rouse}, Proc. Am. Math. Soc. 149, No. 2, 583--589 (2021; Zbl 1464.11055) Full Text: DOI arXiv
Chirskii, V. G. Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter. (English. Russian original) Zbl 1491.11072 Dokl. Math. 102, No. 2, 412-413 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 68-70 (2020). MSC: 11J91 11J85 11J61 11J81 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Dokl. Math. 102, No. 2, 412--413 (2020; Zbl 1491.11072); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 68--70 (2020) Full Text: DOI
König, Joachim The Grunwald problem and specialization of families of regular Galois extensions. (English) Zbl 1470.14053 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 1531-1552 (2020). Reviewer: Noriko Yui (Kingston) MSC: 14H10 11R32 11S20 14H30 PDFBibTeX XMLCite \textit{J. König}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 1531--1552 (2020; Zbl 1470.14053) Full Text: DOI arXiv
Burungale, Ashay A.; Disegni, Daniel On the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functions. (Sur la non-annulation des hauteurs \(p\)-adiques sur les variétés abéliennes CM, et l’arithmétique des fonctions \(L p\)-adiques de Katz.) (English. French summary) Zbl 1470.11185 Ann. Inst. Fourier 70, No. 5, 2077-2101 (2020). Reviewer: Federico Bambozzi (Oxford) MSC: 11G50 11G10 11G40 PDFBibTeX XMLCite \textit{A. A. Burungale} and \textit{D. Disegni}, Ann. Inst. Fourier 70, No. 5, 2077--2101 (2020; Zbl 1470.11185) Full Text: DOI arXiv
Kühne, Lars The bounded height conjecture for semiabelian varieties. (English) Zbl 1457.14098 Compos. Math. 156, No. 7, 1405-1456 (2020). Reviewer: Michel Waldschmidt (Paris) MSC: 14K15 11G50 14G40 PDFBibTeX XMLCite \textit{L. Kühne}, Compos. Math. 156, No. 7, 1405--1456 (2020; Zbl 1457.14098) Full Text: DOI arXiv
Gao, Ziyang Generic rank of Betti map and unlikely intersections. (English) Zbl 1481.11063 Compos. Math. 156, No. 12, 2469-2509 (2020); corrigendum ibid. 157, No. 12, 2747-2748 (2021). Reviewer: Sungkon Chang (Savannah) MSC: 11G10 11G50 14G25 14K15 PDFBibTeX XMLCite \textit{Z. Gao}, Compos. Math. 156, No. 12, 2469--2509 (2020; Zbl 1481.11063) Full Text: DOI arXiv
Pham, D. H. A note on transcendence over \(p\)-adic fields. (English) Zbl 1459.11151 \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 4, 337-341 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J61 PDFBibTeX XMLCite \textit{D. H. Pham}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 4, 337--341 (2020; Zbl 1459.11151) Full Text: DOI
Fischler, Stéphane Irrationality of values of \(L\)-functions of Dirichlet characters. (English) Zbl 1448.11137 J. Lond. Math. Soc., II. Ser. 101, No. 2, 857-876 (2020). Reviewer: Jan Šustek (Ostrava) MSC: 11J72 11M06 11M35 PDFBibTeX XMLCite \textit{S. Fischler}, J. Lond. Math. Soc., II. Ser. 101, No. 2, 857--876 (2020; Zbl 1448.11137) Full Text: DOI arXiv
Chirskii, V. G. Arithmetic properties of generalized hypergeometric \(F\)-series. (English) Zbl 1453.11097 Russ. J. Math. Phys. 27, No. 2, 175-184 (2020). Reviewer: Michael Coons (Callaghan) MSC: 11J91 11J85 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Russ. J. Math. Phys. 27, No. 2, 175--184 (2020; Zbl 1453.11097) Full Text: DOI
Bertrand, Daniel; Edixhoven, Bas Pink’s conjecture on unlikely intersections and families of semi-abelian varieties. (Sur la conjecture de Pink sur les intersections exceptionnelles et les familles de variétés semi-abéliennes.) (English. French summary) Zbl 1461.14064 J. Éc. Polytech., Math. 7, 711-742 (2020). Reviewer: Jiaming Chen (Vandœuvre-lès-Nancy) MSC: 14K05 14G35 11G15 14K30 PDFBibTeX XMLCite \textit{D. Bertrand} and \textit{B. Edixhoven}, J. Éc. Polytech., Math. 7, 711--742 (2020; Zbl 1461.14064) Full Text: DOI arXiv
Bertolin, Cristiana Third kind elliptic integrals and 1-motives. (English) Zbl 1450.11077 J. Pure Appl. Algebra 224, No. 10, Article ID 106396, 27 p. (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J81 11J95 11G99 PDFBibTeX XMLCite \textit{C. Bertolin}, J. Pure Appl. Algebra 224, No. 10, Article ID 106396, 27 p. (2020; Zbl 1450.11077) Full Text: DOI arXiv Link
Adamczewski, Boris; Cassaigne, Julien; Le Gonidec, Marion On the computational complexity of algebraic numbers: the Hartmanis-Stearns problem revisited. (English) Zbl 1441.11048 Trans. Am. Math. Soc. 373, No. 5, 3085-3115 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11B85 11J81 68Q45 68R15 11J87 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., Trans. Am. Math. Soc. 373, No. 5, 3085--3115 (2020; Zbl 1441.11048) Full Text: DOI arXiv
Kawaguchi, Shu; Silverman, Joseph H. Addendum to “Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties”. (English) Zbl 1433.37085 Trans. Am. Math. Soc. 373, No. 3, 2253 (2020). MSC: 37P30 37P15 37P55 11G10 11G50 PDFBibTeX XMLCite \textit{S. Kawaguchi} and \textit{J. H. Silverman}, Trans. Am. Math. Soc. 373, No. 3, 2253 (2020; Zbl 1433.37085) Full Text: DOI
Seppälä, Louna Euler’s factorial series at algebraic integer points. (English) Zbl 1437.11095 J. Number Theory 206, 250-281 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J61 41A21 PDFBibTeX XMLCite \textit{L. Seppälä}, J. Number Theory 206, 250--281 (2020; Zbl 1437.11095) Full Text: DOI arXiv Link
Ballaÿ, François Linear independence measures of logarithms on a commutative algebraic group in the rational case. (Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel.) (French. English summary) Zbl 1436.11088 Diss. Math. 543, 1-78 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 11J86 11J61 14G40 PDFBibTeX XMLCite \textit{F. Ballaÿ}, Diss. Math. 543, 1--78 (2019; Zbl 1436.11088) Full Text: DOI
Duverney, Daniel; Tachiya, Yohei Refinement of the Chowla-Erdős method and linear independence of certain Lambert series. (English) Zbl 1445.11062 Forum Math. 31, No. 6, 1557-1566 (2019). Reviewer: Jan Šustek (Ostrava) MSC: 11J72 PDFBibTeX XMLCite \textit{D. Duverney} and \textit{Y. Tachiya}, Forum Math. 31, No. 6, 1557--1566 (2019; Zbl 1445.11062) Full Text: DOI
Chirskii, V. G. Product formula, global relations, and polyadic numbers. (English) Zbl 1425.11135 Russ. J. Math. Phys. 26, No. 3, 286-305 (2019). MSC: 11J61 11J81 PDFBibTeX XMLCite \textit{V. G. Chirskii}, Russ. J. Math. Phys. 26, No. 3, 286--305 (2019; Zbl 1425.11135) Full Text: DOI
Kowalski, Piotr Ax-Schanuel condition in arbitrary characteristic. (English) Zbl 1469.11238 J. Inst. Math. Jussieu 18, No. 6, 1157-1213 (2019). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J91 12H05 PDFBibTeX XMLCite \textit{P. Kowalski}, J. Inst. Math. Jussieu 18, No. 6, 1157--1213 (2019; Zbl 1469.11238) Full Text: DOI arXiv
Mok, Ngaiming; Pila, Jonathan; Tsimerman, Jacob Ax-Schanuel for Shimura varieties. (English) Zbl 1481.14048 Ann. Math. (2) 189, No. 3, 945-978 (2019). Reviewer: Andrea Marrama (Paris) MSC: 14G35 11G18 03C64 PDFBibTeX XMLCite \textit{N. Mok} et al., Ann. Math. (2) 189, No. 3, 945--978 (2019; Zbl 1481.14048) Full Text: DOI arXiv
Bertrand, Daniel; Schmidt, Harry Unlikely intersections in semiabelian surfaces. (English) Zbl 1423.14254 Algebra Number Theory 13, No. 6, 1455-1473 (2019). Reviewer: WonTae Hwang (Seoul) MSC: 14K15 11G18 11G15 11G50 11U09 PDFBibTeX XMLCite \textit{D. Bertrand} and \textit{H. Schmidt}, Algebra Number Theory 13, No. 6, 1455--1473 (2019; Zbl 1423.14254) Full Text: DOI arXiv
Barroero, Fabrizio CM relations in fibered powers of elliptic families. (English) Zbl 1455.11080 J. Inst. Math. Jussieu 18, No. 5, 941-956 (2019); corrigendum ibid 19, No. 3, 1029 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11G05 11G15 11G50 11U09 PDFBibTeX XMLCite \textit{F. Barroero}, J. Inst. Math. Jussieu 18, No. 5, 941--956 (2019; Zbl 1455.11080) Full Text: DOI arXiv
Perucca, Antonella; Sgobba, Pietro Kummer theory for number fields and the reductions of algebraic numbers. (English) Zbl 1451.11123 Int. J. Number Theory 15, No. 8, 1617-1633 (2019). Reviewer: Piotr Krasoń (Szczecin) MSC: 11R44 11R18 11R21 11N36 PDFBibTeX XMLCite \textit{A. Perucca} and \textit{P. Sgobba}, Int. J. Number Theory 15, No. 8, 1617--1633 (2019; Zbl 1451.11123) Full Text: DOI
Kaneko, Hajime Arithmetical properties of real numbers related to beta-expansions. (English) Zbl 1443.11147 Funct. Approximatio, Comment. Math. 60, No. 2, 195-226 (2019). MSC: 11J91 11K16 11J72 11R06 PDFBibTeX XMLCite \textit{H. Kaneko}, Funct. Approximatio, Comment. Math. 60, No. 2, 195--226 (2019; Zbl 1443.11147) Full Text: DOI arXiv Euclid
Gao, Ziyang Enlarged mixed Shimura varieties, bi-algebraic system and some Ax type transcendental results. (English) Zbl 1448.11114 Forum Math. Sigma 7, Paper No. e16, 65 p. (2019). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{Z. Gao}, Forum Math. Sigma 7, Paper No. e16, 65 p. (2019; Zbl 1448.11114) Full Text: DOI arXiv
Schmidt, Harry Relative Manin-Mumford in additive extensions. (English) Zbl 1470.11189 Trans. Am. Math. Soc. 371, No. 9, 6463-6486 (2019). MSC: 11G50 14H05 14H52 14L15 33C05 PDFBibTeX XMLCite \textit{H. Schmidt}, Trans. Am. Math. Soc. 371, No. 9, 6463--6486 (2019; Zbl 1470.11189) Full Text: DOI
Bosser, Vincent; Gaudron, Éric Logarithms of rational points of abelian varieties. (Logarithmes des points rationnels des variétés abéliennes.) (French) Zbl 1445.11069 Can. J. Math. 71, No. 2, 247-298 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 11J86 11J95 11G10 PDFBibTeX XMLCite \textit{V. Bosser} and \textit{É. Gaudron}, Can. J. Math. 71, No. 2, 247--298 (2019; Zbl 1445.11069) Full Text: DOI
Kumar, Veekesh Linear independence of certain numbers. (English) Zbl 1432.11085 Arch. Math. 112, No. 4, 377-385 (2019). Reviewer: Jan Šustek (Ostrava) MSC: 11J72 PDFBibTeX XMLCite \textit{V. Kumar}, Arch. Math. 112, No. 4, 377--385 (2019; Zbl 1432.11085) Full Text: DOI
Binyamini, Gal Density of algebraic points on Noetherian varieties. (English) Zbl 1498.11155 Geom. Funct. Anal. 29, No. 1, 72-118 (2019). MSC: 11G99 11G18 03C64 14P15 PDFBibTeX XMLCite \textit{G. Binyamini}, Geom. Funct. Anal. 29, No. 1, 72--118 (2019; Zbl 1498.11155) Full Text: DOI arXiv
Stoll, Michael Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. (English) Zbl 1428.11122 J. Eur. Math. Soc. (JEMS) 21, No. 3, 923-956 (2019). Reviewer: Sungkon Chang (Savannah) MSC: 11G30 14G05 14G25 14H25 14H40 PDFBibTeX XMLCite \textit{M. Stoll}, J. Eur. Math. Soc. (JEMS) 21, No. 3, 923--956 (2019; Zbl 1428.11122) Full Text: DOI arXiv
Ernvall-Hytönen, Anne-Maria; Matala-Aho, Tapani; Seppälä, Louna Euler’s divergent series in arithmetic progressions. (English) Zbl 1443.11138 J. Integer Seq. 22, No. 2, Article 19.2.2, 10 p. (2019). Reviewer: Volker Ziegler (Salzburg) MSC: 11J61 PDFBibTeX XMLCite \textit{A.-M. Ernvall-Hytönen} et al., J. Integer Seq. 22, No. 2, Article 19.2.2, 10 p. (2019; Zbl 1443.11138) Full Text: arXiv Link
Chen, Huayi On isoperimetric inequality in Arakelov geometry. (Sur l’inégalité isopérimétrique en géométrie d’Arakelov.) (English. French summary) Zbl 1435.14026 Bull. Soc. Math. Fr. 146, No. 4, 649-673 (2018). Reviewer: WonTae Hwang (Seoul) MSC: 14G40 11G30 PDFBibTeX XMLCite \textit{H. Chen}, Bull. Soc. Math. Fr. 146, No. 4, 649--673 (2018; Zbl 1435.14026) Full Text: DOI
Chirskiĭ, V. G. Arithmetic properties of generalized hypergeometric \(F\)-series. (English. Russian original) Zbl 1432.11083 Dokl. Math. 98, No. 3, 589-591 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 3, 252-254 (2018). MSC: 11J91 PDFBibTeX XMLCite \textit{V. G. Chirskiĭ}, Dokl. Math. 98, No. 3, 589--591 (2018; Zbl 1432.11083); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 3, 252--254 (2018) Full Text: DOI
Elsner, Carsten; Tachiya, Yohei Algebraic results for certain values of the Jacobi theta-constant \(\theta_3(\tau)\). (English) Zbl 1440.11136 Math. Scand. 123, No. 2, 249-272 (2018). MSC: 11J85 11F27 11J91 PDFBibTeX XMLCite \textit{C. Elsner} and \textit{Y. Tachiya}, Math. Scand. 123, No. 2, 249--272 (2018; Zbl 1440.11136) Full Text: DOI
Matala-aho, Tapani; Zudilin, Wadim Euler’s factorial series and global relations. (English) Zbl 1444.11037 J. Number Theory 186, 202-210 (2018). MSC: 11B65 11S80 41A21 33E50 PDFBibTeX XMLCite \textit{T. Matala-aho} and \textit{W. Zudilin}, J. Number Theory 186, 202--210 (2018; Zbl 1444.11037) Full Text: DOI arXiv Link
Fischler, Stéphane Shidlovsky’s multiplicity estimate and irrationality of zeta values. (English) Zbl 1432.11084 J. Aust. Math. Soc. 105, No. 2, 145-172 (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11M06 34M03 PDFBibTeX XMLCite \textit{S. Fischler}, J. Aust. Math. Soc. 105, No. 2, 145--172 (2018; Zbl 1432.11084) Full Text: DOI arXiv
Väänänen, Keijo On Padé approximations and global relations of some Euler-type series. (English) Zbl 1422.11150 Int. J. Number Theory 14, No. 8, 2303-2315 (2018). MSC: 11J13 11J61 11J72 PDFBibTeX XMLCite \textit{K. Väänänen}, Int. J. Number Theory 14, No. 8, 2303--2315 (2018; Zbl 1422.11150) Full Text: DOI arXiv
Corvaja, Pietro; Masser, David; Zannier, Umberto Torsion hypersurfaces on abelian schemes and Betti coordinates. (English) Zbl 1412.14029 Math. Ann. 371, No. 3-4, 1013-1045 (2018). Reviewer: Paul Vojta (Berkeley) MSC: 14K05 11G05 14G05 14K12 PDFBibTeX XMLCite \textit{P. Corvaja} et al., Math. Ann. 371, No. 3--4, 1013--1045 (2018; Zbl 1412.14029) Full Text: DOI Link
Sha, Min; Shparlinski, Igor E. Effective results on linear dependence for elliptic curves. (English) Zbl 1450.11055 Pac. J. Math. 295, No. 1, 123-144 (2018). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11G50 PDFBibTeX XMLCite \textit{M. Sha} and \textit{I. E. Shparlinski}, Pac. J. Math. 295, No. 1, 123--144 (2018; Zbl 1450.11055) Full Text: DOI arXiv
Fischler, S.; Rivoal, T. Rational approximation to values of \(G\)-functions, and their expansions in integer bases. (English) Zbl 1393.11054 Manuscr. Math. 155, No. 3-4, 579-595 (2018); erratum ibid. 155, No. 3-4, 597-598 (2018). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 11A63 11J25 11J91 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Manuscr. Math. 155, No. 3--4, 579--595 (2018; Zbl 1393.11054) Full Text: DOI arXiv
Krupitsyn, E. S. Estimates of polynomials in a Liouvillean polyadic integer. (Russian. English summary) Zbl 1434.11144 Chebyshevskiĭ Sb. 18, No. 4(64), 256-260 (2017). MSC: 11J91 11J72 11J61 11J81 PDFBibTeX XMLCite \textit{E. S. Krupitsyn}, Chebyshevskiĭ Sb. 18, No. 4(64), 256--260 (2017; Zbl 1434.11144) Full Text: DOI MNR
Chirskiĭ, V. G. Periodicity and non-periodicity of finite sequences. (Russian. English summary) Zbl 1434.11149 Chebyshevskiĭ Sb. 18, No. 2(62), 275-278 (2017). MSC: 11K45 PDFBibTeX XMLCite \textit{V. G. Chirskiĭ}, Chebyshevskiĭ Sb. 18, No. 2(62), 275--278 (2017; Zbl 1434.11149) Full Text: DOI MNR
Chambert-Loir, Antoine; Loeser, François A nonarchimedean Ax-Lindemann theorem. (English) Zbl 1429.11112 Algebra Number Theory 11, No. 9, 1967-1999 (2017). MSC: 11G18 03C98 11D88 11J91 14G22 14G35 PDFBibTeX XMLCite \textit{A. Chambert-Loir} and \textit{F. Loeser}, Algebra Number Theory 11, No. 9, 1967--1999 (2017; Zbl 1429.11112) Full Text: DOI arXiv
Jones, Rafe; Levy, Alon Eventually stable rational functions. (English) Zbl 1391.37072 Int. J. Number Theory 13, No. 9, 2299-2318 (2017). MSC: 37P05 37P15 11R32 12E05 37P25 11S82 PDFBibTeX XMLCite \textit{R. Jones} and \textit{A. Levy}, Int. J. Number Theory 13, No. 9, 2299--2318 (2017; Zbl 1391.37072) Full Text: DOI arXiv
Chirskiĭ, V. G. Topical problems of the theory of transcendental numbers: development of approaches to their solution in the works of Yu. V. Nesterenko. (English) Zbl 1373.11002 Russ. J. Math. Phys. 24, No. 2, 153-171 (2017). MSC: 11-02 11-03 01A70 11J81 11J85 11J91 PDFBibTeX XMLCite \textit{V. G. Chirskiĭ}, Russ. J. Math. Phys. 24, No. 2, 153--171 (2017; Zbl 1373.11002) Full Text: DOI
Chirskiĭ, Vladimir G.; Nesterenko, Aleksey Yu. An approach to the transformation of periodic sequences. (English. Russian original) Zbl 1395.11107 Discrete Math. Appl. 27, No. 1, 1-6 (2017); translation from Diskretn. Mat. 27, No. 4, 150-157 (2015). MSC: 11J72 11J91 PDFBibTeX XMLCite \textit{V. G. Chirskiĭ} and \textit{A. Yu. Nesterenko}, Discrete Math. Appl. 27, No. 1, 1--6 (2017; Zbl 1395.11107); translation from Diskretn. Mat. 27, No. 4, 150--157 (2015) Full Text: DOI
Gao, Ziyang Towards the André-Oort conjecture for mixed Shimura varieties: the Ax-Lindemann theorem and lower bounds for Galois orbits of special points. (English) Zbl 1422.11140 J. Reine Angew. Math. 732, 85-146 (2017). MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{Z. Gao}, J. Reine Angew. Math. 732, 85--146 (2017; Zbl 1422.11140) Full Text: DOI arXiv
Disegni, Daniel The \(p\)-adic Gross-Zagier formula on Shimura curves. (English) Zbl 1392.11042 Compos. Math. 153, No. 10, 1987-2074 (2017). Reviewer: Matteo Longo (Padova) MSC: 11G40 11F33 11F41 PDFBibTeX XMLCite \textit{D. Disegni}, Compos. Math. 153, No. 10, 1987--2074 (2017; Zbl 1392.11042) Full Text: DOI arXiv
Rivoal, Tanguy; Roques, Julien Holomorphic solutions of \(E\)-operators. (English) Zbl 1430.11103 Isr. J. Math. 220, No. 1, 275-282 (2017). MSC: 11J91 30B10 33E30 PDFBibTeX XMLCite \textit{T. Rivoal} and \textit{J. Roques}, Isr. J. Math. 220, No. 1, 275--282 (2017; Zbl 1430.11103) Full Text: DOI
Matveev, V. Yu. Algebraic independence of certain almost polyadic series. (Russian. English summary) Zbl 1435.11099 Chebyshevskiĭ Sb. 17, No. 3(59), 166-177 (2016). MSC: 11J85 11J61 PDFBibTeX XMLCite \textit{V. Yu. Matveev}, Chebyshevskiĭ Sb. 17, No. 3(59), 166--177 (2016; Zbl 1435.11099) Full Text: MNR
Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U. Relative Manin-Mumford for semi-abelian surfaces. (English) Zbl 1408.14139 Proc. Edinb. Math. Soc., II. Ser. 59, No. 4, 837-875 (2016). MSC: 14K15 12H05 14K20 11J95 11G05 14G35 PDFBibTeX XMLCite \textit{D. Bertrand} et al., Proc. Edinb. Math. Soc., II. Ser. 59, No. 4, 837--875 (2016; Zbl 1408.14139) Full Text: DOI arXiv