Namoijam, Changningphaabi; Papanikolas, Matthew A. Hyperderivatives of periods and quasi-periods for Anderson \(t\)-modules. (English) Zbl 07946547 Memoirs of the American Mathematical Society 1517. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7088-3/pbk; 978-1-4704-7968-8/ebook). v, 121 p. (2024). MSC: 11-02 11G09 11J93 33E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Chuangqiang; Huang, Xiao-Min Drinfeld module and Weil pairing over Dedekind domain of class number two. (English) Zbl 07937630 Finite Fields Appl. 100, Article ID 102516, 52 p. (2024). MSC: 11G09 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hasegawa, Takehiro Explicit formulas for the exponential and logarithm of the Carlitz-Tate twist, and applications. (English. French summary) Zbl 07892784 J. Théor. Nombres Bordx. 36, No. 1, 251-291 (2024). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11J91 × Cite Format Result Cite Review PDF Full Text: DOI
Yeo, Yao-Rui Algebraic independence results for colored multizeta values in characteristic \(p\). (English) Zbl 1525.11093 Int. J. Number Theory 19, No. 3, 677-708 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11M38 11G09 × Cite Format Result Cite Review PDF Full Text: DOI
Maurischat, Andreas Algebraic independence of the Carlitz period and its hyperderivatives. (English) Zbl 1502.11082 J. Number Theory 240, 145-162 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11J93 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maurischat, Andreas Periods of \(t\)-modules as special values. (English) Zbl 1495.11090 J. Number Theory 232, 177-203 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11J93 11G09 13N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ngo Dac, Tuan On Zagier-Hoffman’s conjectures in positive characteristic. (English) Zbl 1503.11120 Ann. Math. (2) 194, No. 1, 361-392 (2021). Reviewer: Sami Omar (Sukhair) MSC: 11M32 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Pellarin, Federico From the Carlitz exponential to Drinfeld modular forms. (English) Zbl 1457.11079 Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer. Lect. Notes Math. 2275, 93-177 (2021). MSC: 11G09 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Chang, Chieh-Yu Frobenius difference equations and difference Galois groups. (English) Zbl 1440.11098 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 261-295 (2020). MSC: 11G09 11J93 11R58 11J81 11J91 × Cite Format Result Cite Review PDF Full Text: DOI
Brownawell, W. Dale; Papanikolas, Matthew A. A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives. (English) Zbl 1440.14020 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 3-30 (2020). MSC: 14C15 14C30 11G09 11R58 14-01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anglès, Bruno; Ngo Dac, Tuan; Tavares Ribeiro, Floric On special \(L\)-values of \(t\)-modules. (English) Zbl 1458.11095 Adv. Math. 372, Article ID 107313, 32 p. (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11M38 11R58 × Cite Format Result Cite Review PDF Full Text: DOI
Anglès, Bruno; Dac, Tuan Ngo; Ribeiro, Floric Tavares Recent developments in the theory of Anderson modules. (English) Zbl 1461.11089 Acta Math. Vietnam. 45, No. 1, 199-216 (2020). MSC: 11G09 11M38 11R58 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Li, Mao-Sheng Some hypergeometric functions in positive characteristic and transcendence. (Quelques fonctions hypergéométriques en caractéristique positive et transcendance.) (English. Abridged French version) Zbl 1458.11116 C. R., Math., Acad. Sci. Paris 357, No. 4, 317-322 (2019). MSC: 11J91 33E50 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI Link
Maurischat, Andreas Prolongations of \(t\)-motives and algebraic independence of periods. (English) Zbl 1450.11085 Doc. Math. 23, 815-838 (2018). MSC: 11J93 11G09 13N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Yining Transcendence of \(L(1,\chi_{s})/\Pi\) and automata. (English) Zbl 1409.11052 J. Number Theory 187, 215-232 (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11B85 × Cite Format Result Cite Review PDF Full Text: DOI
Thakur, Dinesh S. Multizeta values for function fields: a survey. (English. French summary) Zbl 1430.11119 J. Théor. Nombres Bordx. 29, No. 3, 997-1023 (2017). MSC: 11M32 11G09 11-02 × Cite Format Result Cite Review PDF Full Text: DOI
Pellarin, Federico On a variant of Schanuel conjecture for the Carlitz exponential. (English. French summary) Zbl 1400.11110 J. Théor. Nombres Bordx. 29, No. 3, 845-873 (2017). Reviewer: Michel Waldschmidt (Paris) MSC: 11G09 11J93 11M38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang Transcendence in positive characteristic and special values of hypergeometric functions. (English) Zbl 1227.11088 J. Reine Angew. Math. 657, 135-171 (2011). Reviewer: Jean-Paul Allouche (Paris) MSC: 11J91 11J93 33C99 × Cite Format Result Cite Review PDF Full Text: DOI
Firicel, Alina Subword complexity and finite characteristic numbers. (English) Zbl 1477.11016 Actes Rencontres C.I.R.M. 1, No. 1, 29-34 (2009). MSC: 11A67 11T99 03D15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang Hypergeometric functions for function fields and transcendence. (English. Abridged French version) Zbl 1171.33010 C. R., Math., Acad. Sci. Paris 347, No. 9-10, 467-472 (2009). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C80 11T24 33C20 11J91 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chang, Chieh-Yu; Yu, Jing Determination of algebraic relations among special zeta values in positive characteristic. (English) Zbl 1123.11025 Adv. Math. 216, No. 1, 321-345 (2007). Reviewer: Lenny Taelman (Leiden) MSC: 11J93 11M38 11G09 × Cite Format Result Cite Review PDF Full Text: DOI Link
Denis, Laurent Algebraic independence of logarithms in characteristic \(p\). (Indépendance algébrique de logarithmes en caractéristique \(p\).) (French) Zbl 1116.11058 Bull. Aust. Math. Soc. 74, No. 3, 461-470 (2006). Reviewer: Andreas Schweizer (Exeter) MSC: 11J93 11G09 11J85 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Jia-Yan A transcendence criterion in positive characteristic and applications. (English) Zbl 1156.11028 C. R., Math., Acad. Sci. Paris 343, No. 11-12, 699-704 (2006). MSC: 11J91 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yao, Jia-Yan Some transcendental functions over function fields with positive characteristic. (English. Abridged French version) Zbl 1074.11038 C. R., Math., Acad. Sci. Paris 334, No. 11, 939-943 (2002). MSC: 11J81 11B85 11J91 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fresnel, Jean; Koskas, Michel; de Mathan, Bernard Automata and transcendence in positive characteristic. (English) Zbl 0974.11011 J. Number Theory 80, No. 1, 1-24 (2000). Reviewer: Gilles Christol (Paris) MSC: 11B85 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Damamme, Gilles Study of \(L(s,\chi)/\pi^s\) for \(L\)-functions relative to \(\mathbb{F}_q((T^{-1}))\) and associated to characters of degree 1. (Etude de \(L(s\chi)/\pi^s\) pour des fonctions \(L\) relatives à \(\mathbb{F}_q((T^{-1}))\) et associées à des caractères de degré 1.) (French) Zbl 0994.11027 J. Théor. Nombres Bordx. 11, No. 2, 369-385 (1999). Reviewer: Igor Potemine (Toulouse) MSC: 11J93 11G09 11M38 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Zhao, Jianqiang On root numbers connected with special values of \(L\)-functions over \(\mathbb{F}_ q(T)\). (English) Zbl 0874.11043 J. Number Theory 62, No. 2, 307-321 (1997). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G09 11T24 11T23 × Cite Format Result Cite Review PDF Full Text: DOI
Sinha, Samarendra K. Periods of \(t\)-motives and transcendence. (English) Zbl 0887.11028 Duke Math. J. 88, No. 3, 465-535 (1997). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G09 11J89 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Denis, Laurent Derivatives of a Drinfeld module and transcendence. (Dérivées d’un module de Drinfeld et transcendance.) (French) Zbl 0848.11028 Duke Math. J. 80, No. 1, 1-13 (1995). Reviewer: D.Goss (Columbus / Ohio) MSC: 11G09 11J72 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Numdam
Thakur, Dinesh S. Continued fraction for the exponential for \(\mathbb{F}_ q[T]\). (English) Zbl 0754.11019 J. Number Theory 41, No. 2, 150-155 (1992). Reviewer: D.Goss (Columbus / Ohio) MSC: 11G09 11R58 11J70 × Cite Format Result Cite Review PDF Full Text: DOI
Damamme, G.; Hellegouarch, Y. Transcendence of the values of the Carlitz zeta function by Wade’s method. (English) Zbl 0743.11070 J. Number Theory 39, No. 3, 257-278 (1991). Reviewer: D.Goss (Columbus) MSC: 11T55 11R58 11G09 × Cite Format Result Cite Review PDF Full Text: DOI
Allouche, Jean-Paul Sur la transcendance de la série formelle \(\Pi\) . (On the transcendence of formal power series \(\Pi\) ). (French) Zbl 0709.11067 Sémin. Théor. Nombres Bordx., Sér. II 2, No. 1, 103-117 (1990). Reviewer: D.Goss MSC: 11R58 11J81 11T55 14G15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Thakur, Dinesh S. Zeta measure associated to \({\mathbb{F}}_ q[T]\). (English) Zbl 0703.11065 J. Number Theory 35, No. 1, 1-17 (1990). Reviewer: D.Goss MSC: 11R58 11R42 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Jing Transcendence and Drinfeld modules. (English) Zbl 0586.12010 Invent. Math. 83, 507-517 (1986). Reviewer: David Goss (Columbus/Ohio) MSC: 11J93 11G09 11R58 14L05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Yu, Jing Transcendence theory over function fields. (English) Zbl 0574.12015 Duke Math. J. 52, 517-527 (1985). Reviewer: David Goss (Columbus/Ohio) MSC: 11J93 11G09 14H05 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Jing Transcendental numbers arising from Drinfeld modules. (English) Zbl 0523.12013 Mathematika 30, 61-66 (1983). MSC: 11R58 11J81 14H52 12F20 × Cite Format Result Cite Review PDF Full Text: DOI
Jing, Yu Irrationality of lattices in finite characteristic. (English) Zbl 0495.14028 Mathematika 29, 227-230 (1982). MSC: 14H52 11R58 14L05 11T55 14H45 14G15 14G05 × Cite Format Result Cite Review PDF Full Text: DOI