Beaumont, Tiphaine On equivariant class formulas for Anderson modules. (English) Zbl 07754303 Res. Number Theory 9, No. 4, Paper No. 68, 33 p. (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11M38 11F80 11G09 PDFBibTeX XMLCite \textit{T. Beaumont}, Res. Number Theory 9, No. 4, Paper No. 68, 33 p. (2023; Zbl 07754303) Full Text: DOI arXiv
Green, Nathan; Ngo Dac, Tuan Algebraic relations among Goss’s zeta values on elliptic curves. (English) Zbl 07753225 Forum Math. Sigma 11, Paper No. e90, 40 p. (2023). MSC: 11J93 11G09 11M38 PDFBibTeX XMLCite \textit{N. Green} and \textit{T. Ngo Dac}, Forum Math. Sigma 11, Paper No. e90, 40 p. (2023; Zbl 07753225) Full Text: DOI arXiv OA License
Takada, Yuta Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20. (English) Zbl 07722270 J. Number Theory 252, 195-242 (2023). MSC: 11H56 14J28 PDFBibTeX XMLCite \textit{Y. Takada}, J. Number Theory 252, 195--242 (2023; Zbl 07722270) Full Text: DOI arXiv
Brandhorst, Simon; Hofmann, Tommy Finite subgroups of automorphisms of \(K3\) surfaces. (English) Zbl 1522.14050 Forum Math. Sigma 11, Paper No. e54, 57 p. (2023). Reviewer: Jin-Xing Cai (Beijing) MSC: 14J28 14J50 11E39 11H56 PDFBibTeX XMLCite \textit{S. Brandhorst} and \textit{T. Hofmann}, Forum Math. Sigma 11, Paper No. e54, 57 p. (2023; Zbl 1522.14050) Full Text: DOI arXiv
Bragg, Daniel; Yang, Ziquan Twisted derived equivalences and isogenies between \(K3\) surfaces in positive characteristic. (English) Zbl 1523.14067 Algebra Number Theory 17, No. 5, 1069-1126 (2023). MSC: 14J28 14F08 14K02 11G99 14G17 14G35 PDFBibTeX XMLCite \textit{D. Bragg} and \textit{Z. Yang}, Algebra Number Theory 17, No. 5, 1069--1126 (2023; Zbl 1523.14067) Full Text: DOI arXiv
Valloni, Domenico Fields of definition of \(K3\) surfaces with complex multiplication. (English) Zbl 1507.14056 J. Number Theory 242, 436-470 (2023). Reviewer: Matthias Schütt (Hannover) MSC: 14J28 11G15 14F22 14J25 14J50 PDFBibTeX XMLCite \textit{D. Valloni}, J. Number Theory 242, 436--470 (2023; Zbl 1507.14056) Full Text: DOI arXiv
Ferrara, Joseph; Green, Nathan; Higgins, Zach; Popescu, Cristian D. An equivariant Tamagawa number formula for Drinfeld modules and applications. (English) Zbl 1515.11056 Algebra Number Theory 16, No. 9, 2215-2264 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11F80 11M38 PDFBibTeX XMLCite \textit{J. Ferrara} et al., Algebra Number Theory 16, No. 9, 2215--2264 (2022; Zbl 1515.11056) Full Text: DOI arXiv
Demeslay, Florent A class formula for \(L\)-series in positive characteristic. (Une formule de classes pour les séries \(L\) de caractéristique positive.) (English. French summary) Zbl 1507.11050 Ann. Inst. Fourier 72, No. 3, 1149-1183 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11M38 11R58 11R60 PDFBibTeX XMLCite \textit{F. Demeslay}, Ann. Inst. Fourier 72, No. 3, 1149--1183 (2022; Zbl 1507.11050) Full Text: DOI arXiv
Brandhorst, Simon; Hofmann, Tommy; Manthe, Sven Generation of local unitary groups. (English) Zbl 1506.11057 J. Algebra 609, 484-513 (2022). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E39 11E08 11E57 11H06 11H56 PDFBibTeX XMLCite \textit{S. Brandhorst} et al., J. Algebra 609, 484--513 (2022; Zbl 1506.11057) Full Text: DOI arXiv
Anglès, Bruno; Tuan Ngo Dac; Tavares Ribeiro, Floric A class formula for admissible Anderson modules. (English) Zbl 1501.11063 Invent. Math. 229, No. 2, 563-606 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11M38 11R58 PDFBibTeX XMLCite \textit{B. Anglès} et al., Invent. Math. 229, No. 2, 563--606 (2022; Zbl 1501.11063) Full Text: DOI
Le, Huy Hung; Dac, Tuan Ngo Zeta-like multiple zeta values in positive characteristic. (English) Zbl 1510.11136 Math. Z. 301, No. 2, 2037-2057 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M32 11G09 11M38 11R58 PDFBibTeX XMLCite \textit{H. H. Le} and \textit{T. N. Dac}, Math. Z. 301, No. 2, 2037--2057 (2022; Zbl 1510.11136) Full Text: DOI HAL
Pellarin, F.; Perkins, R. On twisted \(A\)-harmonic sums and Carlitz finite zeta values. (English) Zbl 1495.11109 J. Number Theory 232, 355-378 (2022). MSC: 11M38 11R59 11R58 PDFBibTeX XMLCite \textit{F. Pellarin} and \textit{R. Perkins}, J. Number Theory 232, 355--378 (2022; Zbl 1495.11109) Full Text: DOI arXiv
Arasteh Rad, Esmail; Hartl, Urs Category of \(C\)-motives over finite fields. (English) Zbl 1489.11086 J. Number Theory 232, 283-316 (2022). MSC: 11G09 PDFBibTeX XMLCite \textit{E. Arasteh Rad} and \textit{U. Hartl}, J. Number Theory 232, 283--316 (2022; Zbl 1489.11086) Full Text: DOI arXiv
Fang, Jiangxue Equivariant special \(L\)-values of abelian \(t\)-modules. (English) Zbl 1489.11089 J. Number Theory 232, 242-260 (2022). MSC: 11G09 PDFBibTeX XMLCite \textit{J. Fang}, J. Number Theory 232, 242--260 (2022; Zbl 1489.11089) Full Text: DOI arXiv
Green, Nathan Tensor powers of rank 1 Drinfeld modules and periods. (English) Zbl 1480.11075 J. Number Theory 232, 204-241 (2022). MSC: 11G09 11F52 PDFBibTeX XMLCite \textit{N. Green}, J. Number Theory 232, 204--241 (2022; Zbl 1480.11075) Full Text: DOI arXiv
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. Zeta-like multizeta values for higher genus curves. (English) Zbl 07419997 J. Théor. Nombres Bordx. 33, No. 2, 553-581 (2021). MSC: 11M32 11G09 11G30 PDFBibTeX XMLCite \textit{J. A. Lara Rodríguez} and \textit{D. S. Thakur}, J. Théor. Nombres Bordx. 33, No. 2, 553--581 (2021; Zbl 07419997) Full Text: DOI arXiv
Gezmiş, Oğuz Special values of Goss \(L\)-series attached to Drinfeld modules of rank 2. (English) Zbl 1496.11086 J. Théor. Nombres Bordx. 33, No. 2, 511-552 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11M38 PDFBibTeX XMLCite \textit{O. Gezmiş}, J. Théor. Nombres Bordx. 33, No. 2, 511--552 (2021; Zbl 1496.11086) Full Text: DOI arXiv
Bandini, Andrea; Coscelli, Edoardo Stickelberger series and main conjecture for function fields. (English) Zbl 1482.11119 Publ. Mat., Barc. 65, No. 2, 459-498 (2021). Reviewer: Andreas Nickel (Essen) MSC: 11M38 11R23 11R58 11R60 PDFBibTeX XMLCite \textit{A. Bandini} and \textit{E. Coscelli}, Publ. Mat., Barc. 65, No. 2, 459--498 (2021; Zbl 1482.11119) Full Text: DOI arXiv
Le, Huy Hung; Dac, Tuan Ngo On identities for zeta values in Tate algebras. (English) Zbl 1479.11159 Trans. Am. Math. Soc. 374, No. 8, 5623-5650 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11M38 11G09 11R58 PDFBibTeX XMLCite \textit{H. H. Le} and \textit{T. N. Dac}, Trans. Am. Math. Soc. 374, No. 8, 5623--5650 (2021; Zbl 1479.11159) Full Text: DOI HAL
Mornev, Max (Maxim) Tate modules of isocrystals and good reduction of Drinfeld modules. (English) Zbl 1478.11085 Algebra Number Theory 15, No. 4, 909-970 (2021). Reviewer: Oğuz Gezmiş (Hsinchu) MSC: 11G09 PDFBibTeX XMLCite \textit{M. Mornev}, Algebra Number Theory 15, No. 4, 909--970 (2021; Zbl 1478.11085) Full Text: DOI arXiv
Grishkov, A.; Logachev, D. \(h^1\neq h_1\) for Anderson t-motives. (English) Zbl 1509.11047 J. Number Theory 225, 59-89 (2021). MSC: 11G09 11R58 PDFBibTeX XMLCite \textit{A. Grishkov} and \textit{D. Logachev}, J. Number Theory 225, 59--89 (2021; Zbl 1509.11047) Full Text: DOI arXiv
Ito, Kazuhiro; Ito, Tetsushi; Koshikawa, Teruhisa CM liftings of \(K3\) surfaces over finite fields and their applications to the Tate conjecture. (English) Zbl 1477.14042 Forum Math. Sigma 9, Paper No. e29, 70 p. (2021). Reviewer: Jiaming Chen (Frankfurt am Main) MSC: 14G35 11G18 11G15 14J28 PDFBibTeX XMLCite \textit{K. Ito} et al., Forum Math. Sigma 9, Paper No. e29, 70 p. (2021; Zbl 1477.14042) Full Text: DOI arXiv
Chen, Yen-Tsung; Harada, Ryotaro On lower bounds of the dimensions of multizeta values in positive characteristic. (English) Zbl 1506.11114 Doc. Math. 26, 537-559 (2021). MSC: 11M38 11M32 11J72 11J93 PDFBibTeX XMLCite \textit{Y.-T. Chen} and \textit{R. Harada}, Doc. Math. 26, 537--559 (2021; Zbl 1506.11114) Full Text: DOI arXiv
Tavares Ribeiro, Floric On the Stark units of Drinfeld modules. (English) Zbl 1470.11158 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, 281-324 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11R58 11M38 PDFBibTeX XMLCite \textit{F. Tavares Ribeiro}, Lect. Notes Math. 2275, 281--324 (2021; Zbl 1470.11158) Full Text: DOI
Thakur, Dinesh S. Multizeta in function field arithmetic. (English) Zbl 1441.11222 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 441-452 (2020). MSC: 11M32 11G09 11R58 11M38 PDFBibTeX XMLCite \textit{D. S. Thakur}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 441--452 (2020; Zbl 1441.11222) Full Text: DOI
Taelman, Lenny 1-\(t\)-motifs. (English) Zbl 1441.11151 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 417-439 (2020). MSC: 11G09 11-02 14A20 11J93 11M38 PDFBibTeX XMLCite \textit{L. Taelman}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 417--439 (2020; Zbl 1441.11151) Full Text: DOI arXiv
Bandini, Andrea; Bars, Francesc; Longhi, Ignazio Aspects of Iwasawa theory over function fields. (English) Zbl 1454.11199 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 375-416 (2020). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11G09 11G05 11R58 11G40 PDFBibTeX XMLCite \textit{A. Bandini} et al., in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 375--416 (2020; Zbl 1454.11199) 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 PDFBibTeX XMLCite \textit{B. Anglès} et al., Adv. Math. 372, Article ID 107313, 32 p. (2020; Zbl 1458.11095) Full Text: DOI
Kuo, Wentang; Tweedle, David A prime analogue Erdős-Pomerance result for Drinfeld modules with arbitrary endomorphism rings. (English) Zbl 1459.11135 Proc. Am. Math. Soc. 148, No. 9, 3733-3747 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11N36 11R45 PDFBibTeX XMLCite \textit{W. Kuo} and \textit{D. Tweedle}, Proc. Am. Math. Soc. 148, No. 9, 3733--3747 (2020; Zbl 1459.11135) 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 PDFBibTeX XMLCite \textit{B. Anglès} et al., Acta Math. Vietnam. 45, No. 1, 199--216 (2020; Zbl 1461.11089) Full Text: DOI HAL
Anglès, Bruno; Bandini, Andrea; Bars, Francesc; Longhi, Ignazio Iwasawa main conjecture for the Carlitz cyclotomic extension and applications. (English) Zbl 1454.11211 Math. Ann. 376, No. 1-2, 475-523 (2020). Reviewer: Andreas Nickel (Essen) MSC: 11R60 11R23 11M38 11R58 PDFBibTeX XMLCite \textit{B. Anglès} et al., Math. Ann. 376, No. 1--2, 475--523 (2020; Zbl 1454.11211) Full Text: DOI arXiv
Costa, Edgar; Harvey, David; Kedlaya, Kiran Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology. (English) Zbl 1520.14095 Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 221-238 (2019). MSC: 14M25 14G10 14F30 11G25 11M38 PDFBibTeX XMLCite \textit{E. Costa} et al., Open Book Ser. 2, 221--238 (2019; Zbl 1520.14095) Full Text: DOI arXiv
Gezmiş, Oğuz Taelman \(L\)-values for Drinfeld modules over Tate algebras. (English) Zbl 1465.11184 Res. Math. Sci. 6, No. 1, Paper No. 18, 25 p. (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11M38 11G09 11R58 PDFBibTeX XMLCite \textit{O. Gezmiş}, Res. Math. Sci. 6, No. 1, Paper No. 18, 25 p. (2019; Zbl 1465.11184) Full Text: DOI arXiv
Ito, Kazuhiro Unconditional construction of \(K3\) surfaces over finite fields with given \(L\)-function in large characteristic. (English) Zbl 1423.14231 Manuscr. Math. 159, No. 3-4, 281-300 (2019). Reviewer: Remke Kloosterman (Padova) MSC: 14J28 11G25 14G10 14G15 14K22 PDFBibTeX XMLCite \textit{K. Ito}, Manuscr. Math. 159, No. 3--4, 281--300 (2019; Zbl 1423.14231) Full Text: DOI arXiv
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
Gezmiş, Oğuz; Papanikolas, Matthew A. The de Rham isomorphism for Drinfeld modules over Tate algebras. (English) Zbl 1470.11157 J. Algebra 525, 454-496 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11R58 12H10 12J27 14F40 PDFBibTeX XMLCite \textit{O. Gezmiş} and \textit{M. A. Papanikolas}, J. Algebra 525, 454--496 (2019; Zbl 1470.11157) Full Text: DOI arXiv
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing An effective criterion for Eulerian multizeta values in positive characteristic. (English) Zbl 1417.11139 J. Eur. Math. Soc. (JEMS) 21, No. 2, 405-440 (2019). Reviewer: Gabriel D. Villa Salvador (México D. F.) MSC: 11M32 11R58 11J93 11G09 11M38 PDFBibTeX XMLCite \textit{C.-Y. Chang} et al., J. Eur. Math. Soc. (JEMS) 21, No. 2, 405--440 (2019; Zbl 1417.11139) Full Text: DOI arXiv
Papikian, Mihran Drinfeld-Stuhler modules. (English) Zbl 1475.11118 Res. Math. Sci. 5, No. 4, Paper No. 40, 33 p. (2018). Reviewer: Damián Gvirtz (London) MSC: 11G09 11R52 PDFBibTeX XMLCite \textit{M. Papikian}, Res. Math. Sci. 5, No. 4, Paper No. 40, 33 p. (2018; Zbl 1475.11118) Full Text: DOI arXiv
Green, Nathan; Papanikolas, Matthew A. Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves. (English) Zbl 1441.11150 Res. Math. Sci. 5, No. 1, Paper No. 4, 47 p. (2018). MSC: 11G09 11R58 11M38 12H10 PDFBibTeX XMLCite \textit{N. Green} and \textit{M. A. Papanikolas}, Res. Math. Sci. 5, No. 1, Paper No. 4, 47 p. (2018; Zbl 1441.11150) Full Text: DOI arXiv
Vlǎduţ, Sergeĭ G.; Nogin, Dmitriĭ Yu.; Tsfasman, Mikhaĭl A. Varieties over finite fields: quantitative theory. (English. Russian original) Zbl 1427.14052 Russ. Math. Surv. 73, No. 2, 261-322 (2018); translation from Usp. Mat. Nauk 73, No. 2, 75-140 (2018). MSC: 14G15 14J20 11G25 14M15 11G20 14G10 PDFBibTeX XMLCite \textit{S. G. Vlǎduţ} et al., Russ. Math. Surv. 73, No. 2, 261--322 (2018; Zbl 1427.14052); translation from Usp. Mat. Nauk 73, No. 2, 75--140 (2018) Full Text: DOI
Orr, Martin; Skorobogatov, Alexei N. Finiteness theorems for \(K3\) surfaces and abelian varieties of CM type. (English) Zbl 1452.14016 Compos. Math. 154, No. 8, 1571-1592 (2018). MSC: 14F22 14J28 11G15 14K15 PDFBibTeX XMLCite \textit{M. Orr} and \textit{A. N. Skorobogatov}, Compos. Math. 154, No. 8, 1571--1592 (2018; Zbl 1452.14016) Full Text: DOI arXiv
Heim, Bernhard; Kaiser, Christian; Murase, Atsushi Modular curves and symmetries of Hecke type. (English) Zbl 1439.11141 Int. J. Math. 29, No. 7, Article ID 1850045, 6 p. (2018). MSC: 11G15 11G18 14G35 14H52 14K22 PDFBibTeX XMLCite \textit{B. Heim} et al., Int. J. Math. 29, No. 7, Article ID 1850045, 6 p. (2018; Zbl 1439.11141) Full Text: DOI
Pellarin, Federico A sum-shuffle formula for zeta values in Tate algebras. (English. French summary) Zbl 1430.11126 J. Théor. Nombres Bordx. 29, No. 3, 1025-1048 (2017). MSC: 11M38 PDFBibTeX XMLCite \textit{F. Pellarin}, J. Théor. Nombres Bordx. 29, No. 3, 1025--1048 (2017; Zbl 1430.11126) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. S. Thakur}, J. Théor. Nombres Bordx. 29, No. 3, 997--1023 (2017; Zbl 1430.11119) Full Text: DOI
Böckle, Gebhard; Thakur, Dinesh S. Leading coefficient of the Goss zeta value and \(p\)-ranks of Jacobians of Carlitz cyclotomic covers. (English. French summary) Zbl 1430.11124 J. Théor. Nombres Bordx. 29, No. 3, 963-995 (2017). MSC: 11M38 11R60 14H40 14H05 PDFBibTeX XMLCite \textit{G. Böckle} and \textit{D. S. Thakur}, J. Théor. Nombres Bordx. 29, No. 3, 963--995 (2017; Zbl 1430.11124) Full Text: DOI
Anglès, Bruno; Dac, Tuan Ngo; Ribeiro, Floric Tavares Special functions and twisted \(L\)-series. (English. French summary) Zbl 1430.11127 J. Théor. Nombres Bordx. 29, No. 3, 931-961 (2017). MSC: 11M41 11G09 11F52 PDFBibTeX XMLCite \textit{B. Anglès} et al., J. Théor. Nombres Bordx. 29, No. 3, 931--961 (2017; Zbl 1430.11127) Full Text: DOI arXiv
Pellarin, F. A note on certain representations in characteristic \(p\) and associated functions. (English) Zbl 1368.11103 J. Number Theory 176, 420-438 (2017). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11M38 11R58 20C05 PDFBibTeX XMLCite \textit{F. Pellarin}, J. Number Theory 176, 420--438 (2017; Zbl 1368.11103) Full Text: DOI arXiv
Anglès, Bruno; Tavares Ribeiro, Floric Arithmetic of function field units. (English) Zbl 1382.11043 Math. Ann. 367, No. 1-2, 501-579 (2017). Reviewer: Liang-Chung Hsia (Taipei) MSC: 11G09 11R58 11R60 PDFBibTeX XMLCite \textit{B. Anglès} and \textit{F. Tavares Ribeiro}, Math. Ann. 367, No. 1--2, 501--579 (2017; Zbl 1382.11043) Full Text: DOI arXiv
Puchinger, Sven; Rosenkilde né Nielsen, Johan; Li, Wenhui; Sidorenko, Vladimir Row reduction applied to decoding of rank-metric and subspace codes. (English) Zbl 1402.94092 Des. Codes Cryptography 82, No. 1-2, 389-409 (2017). MSC: 94B05 11T71 12E15 12Y05 PDFBibTeX XMLCite \textit{S. Puchinger} et al., Des. Codes Cryptography 82, No. 1--2, 389--409 (2017; Zbl 1402.94092) Full Text: DOI arXiv
Fang, Jiangxue Equivariant trace formula mod \(p\). (Formule des traces équivariantes modulo \(p\).) (English. French summary) Zbl 1403.11047 C. R., Math., Acad. Sci. Paris 354, No. 4, 335-338 (2016). MSC: 11G09 14L10 PDFBibTeX XMLCite \textit{J. Fang}, C. R., Math., Acad. Sci. Paris 354, No. 4, 335--338 (2016; Zbl 1403.11047) Full Text: DOI
Anglès, Bruno; Ngo Dac, Tuan; Tavares Ribeiro, Floric Twisted characteristic \(p\) zeta functions. (English) Zbl 1401.11127 J. Number Theory 168, 180-214 (2016). Reviewer: Gabriel D. Villa Salvador (México D. F.) MSC: 11M38 11G09 11R58 PDFBibTeX XMLCite \textit{B. Anglès} et al., J. Number Theory 168, 180--214 (2016; Zbl 1401.11127) Full Text: DOI arXiv
Zywina, David The Sato-Tate law for Drinfeld modules. (English) Zbl 1335.11045 Trans. Am. Math. Soc. 368, No. 3, 2185-2222 (2016). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11F80 11R58 PDFBibTeX XMLCite \textit{D. Zywina}, Trans. Am. Math. Soc. 368, No. 3, 2185--2222 (2016; Zbl 1335.11045) Full Text: DOI arXiv
Anglès, B.; Pellarin, F.; Ribeiro, F. Tavares; Demeslay, F. Arithmetic of positive characteristic \(L\)-series values in Tate algebras. (English) Zbl 1336.11042 Compos. Math. 152, No. 1, 1-61 (2016). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11F52 14L05 11R60 14G25 PDFBibTeX XMLCite \textit{B. Anglès} et al., Compos. Math. 152, No. 1, 1--61 (2016; Zbl 1336.11042) Full Text: DOI arXiv
Kaneko, Hajime; Komatsu, Takao Cauchy-Carlitz numbers. (English) Zbl 1400.11065 J. Number Theory 163, 238-254 (2016). MSC: 11B68 11B73 11B75 11T06 PDFBibTeX XMLCite \textit{H. Kaneko} and \textit{T. Komatsu}, J. Number Theory 163, 238--254 (2016; Zbl 1400.11065) Full Text: DOI arXiv
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. Multiplicative relations between coefficients of logarithmic derivatives of \(\mathbb{F}_q\)-linear functions and applications. (English) Zbl 1366.11099 J. Algebra Appl. 14, No. 9, Article ID 1540006, 13 p. (2015). MSC: 11M38 11M32 11R58 11T55 PDFBibTeX XMLCite \textit{J. A. Lara Rodríguez} and \textit{D. S. Thakur}, J. Algebra Appl. 14, No. 9, Article ID 1540006, 13 p. (2015; Zbl 1366.11099) Full Text: DOI arXiv
Anglès, Bruno; Taelman, Lenny; Bosser, Vincent Arithmetic of characteristic \(p\) special \(L\)-values. (English) Zbl 1328.11065 Proc. Lond. Math. Soc. (3) 110, No. 4, 1000-1032 (2015). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G09 11M38 11R60 PDFBibTeX XMLCite \textit{B. Anglès} et al., Proc. Lond. Math. Soc. (3) 110, No. 4, 1000--1032 (2015; Zbl 1328.11065) Full Text: DOI arXiv
Thakur, Dinesh S. Fermat versus Wilson congruences, arithmetic derivatives and zeta values. (English) Zbl 1378.11102 Finite Fields Appl. 32, 192-206 (2015). MSC: 11T55 11R58 11G09 PDFBibTeX XMLCite \textit{D. S. Thakur}, Finite Fields Appl. 32, 192--206 (2015; Zbl 1378.11102) Full Text: DOI
Thakur, Dinesh S. Power sums of polynomials over finite fields and applications: a survey. (English) Zbl 1378.11101 Finite Fields Appl. 32, 171-191 (2015). MSC: 11T55 11-02 11G09 11R58 11R60 11M32 11M38 14G10 14H40 PDFBibTeX XMLCite \textit{D. S. Thakur}, Finite Fields Appl. 32, 171--191 (2015; Zbl 1378.11101) Full Text: DOI
Fang, Jiangxue Special \(L\)-values of abelian \(t\)-modules. (English) Zbl 1360.11074 J. Number Theory 147, 300-325 (2015). MSC: 11G09 11R58 13C99 14G10 14F40 PDFBibTeX XMLCite \textit{J. Fang}, J. Number Theory 147, 300--325 (2015; Zbl 1360.11074) Full Text: DOI arXiv
Thakur, Dinesh S. Arithmetic of gamma, zeta and multizeta values for function fields. (English) Zbl 1396.11128 Bars, Francesc (ed.) et al., Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 – March 5 and April 6–16, 2010. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0852-1/pbk; 978-3-0348-0853-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 195-279 (2014). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R58 11R60 PDFBibTeX XMLCite \textit{D. S. Thakur}, in: Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 -- March 5 and April 6--16, 2010. Basel: Birkhäuser/Springer. 195--279 (2014; Zbl 1396.11128) Full Text: DOI
Burns, David; Trihan, Fabien On geometric Iwasawa theory and special values of zeta functions. (English) Zbl 1384.11098 Bars, Francesc (ed.) et al., Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 – March 5 and April 6–16, 2010. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0852-1/pbk; 978-3-0348-0853-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 119-181 (2014). MSC: 11R23 11G25 PDFBibTeX XMLCite \textit{D. Burns} and \textit{F. Trihan}, in: Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 -- March 5 and April 6--16, 2010. Basel: Birkhäuser/Springer. 119--181 (2014; Zbl 1384.11098) Full Text: DOI
Perkins, Rudolph Bronson Explicit formulae for \(L\)-values in positive characteristic. (English) Zbl 1306.11070 Math. Z. 278, No. 1-2, 279-299 (2014). Reviewer: Michael Th. Rassias (Princeton) MSC: 11M38 11R58 PDFBibTeX XMLCite \textit{R. B. Perkins}, Math. Z. 278, No. 1--2, 279--299 (2014; Zbl 1306.11070) Full Text: DOI arXiv
Menken, Hamza; Aşan, Abdulkadir On Liouville sequences in the non-Archimedean case. (English) Zbl 1303.11076 Chin. J. Math. (New York) 2014, Article ID 813924, 6 p. (2014). MSC: 11J61 26E30 40A05 PDFBibTeX XMLCite \textit{H. Menken} and \textit{A. Aşan}, Chin. J. Math. (New York) 2014, Article ID 813924, 6 p. (2014; Zbl 1303.11076) Full Text: DOI
Anglès, Bruno; Pellarin, Federico Functional identities for \(L\)-series values in positive characteristic. (English) Zbl 1385.11057 J. Number Theory 142, 223-251 (2014). MSC: 11M38 11F52 14L05 PDFBibTeX XMLCite \textit{B. Anglès} and \textit{F. Pellarin}, J. Number Theory 142, 223--251 (2014; Zbl 1385.11057) Full Text: DOI
Maier, Annette A difference version of Nori’s theorem. (English) Zbl 1306.12003 Math. Ann. 359, No. 3-4, 759-784 (2014). Reviewer: Alexander B. Levin (Washington) MSC: 12H10 11G09 20G40 PDFBibTeX XMLCite \textit{A. Maier}, Math. Ann. 359, No. 3--4, 759--784 (2014; Zbl 1306.12003) Full Text: DOI arXiv
Menken, Hamza; Aşan, Abdulkadir On some properties of Liouville numbers in the non-Archimedean case. (English) Zbl 1362.11067 Eur. J. Pure Appl. Math. 6, No. 2, 239-246 (2013). MSC: 11J61 12J25 11R58 PDFBibTeX XMLCite \textit{H. Menken} and \textit{A. Aşan}, Eur. J. Pure Appl. Math. 6, No. 2, 239--246 (2013; Zbl 1362.11067) Full Text: Link
Lutes, Brad A.; Papanikolas, Matthew A. Algebraic independence of values of Goss \(L\)-functions at \(s=1\). (English) Zbl 1328.11082 J. Number Theory 133, No. 3, 1000-1011 (2013). Reviewer: Michel Waldschmidt (Paris) MSC: 11J93 11G09 11M38 PDFBibTeX XMLCite \textit{B. A. Lutes} and \textit{M. A. Papanikolas}, J. Number Theory 133, No. 3, 1000--1011 (2013; Zbl 1328.11082) Full Text: DOI arXiv
Anglès, Bruno; Taelman, Lenny On a problem à la Kummer-Vandiver for function fields. (English) Zbl 1285.11138 J. Number Theory 133, No. 3, 830-841 (2013). Reviewer: Liang-Chung Hsia (Taipei) MSC: 11R58 11G09 PDFBibTeX XMLCite \textit{B. Anglès} and \textit{L. Taelman}, J. Number Theory 133, No. 3, 830--841 (2013; Zbl 1285.11138) Full Text: DOI arXiv
Taelman, Lenny A Herbrand-Ribet theorem for function fields. (English) Zbl 1278.11102 Invent. Math. 188, No. 2, 253-275 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R60 11R58 PDFBibTeX XMLCite \textit{L. Taelman}, Invent. Math. 188, No. 2, 253--275 (2012; Zbl 1278.11102) Full Text: DOI arXiv
Taelman, Lenny Special \(L\)-values of Drinfeld modules. (English) Zbl 1323.11039 Ann. Math. (2) 175, No. 1, 369-391 (2012). MSC: 11G09 11M38 11F67 PDFBibTeX XMLCite \textit{L. Taelman}, Ann. Math. (2) 175, No. 1, 369--391 (2012; Zbl 1323.11039) Full Text: DOI arXiv
Bornhofen, Matthias; Hartl, Urs Pure Anderson motives and abelian \(\tau\)-sheaves. (English) Zbl 1227.11077 Math. Z. 268, No. 1-2, 67-100 (2011). Reviewer: Jean-Paul Allouche (Paris) MSC: 11G09 13A35 PDFBibTeX XMLCite \textit{M. Bornhofen} and \textit{U. Hartl}, Math. Z. 268, No. 1--2, 67--100 (2011; Zbl 1227.11077) Full Text: DOI arXiv
Taelman, Lenny The Carlitz shtuka. (English) Zbl 1221.11137 J. Number Theory 131, No. 3, 410-418 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11G09 11M38 11R58 14F42 PDFBibTeX XMLCite \textit{L. Taelman}, J. Number Theory 131, No. 3, 410--418 (2011; Zbl 1221.11137) Full Text: DOI arXiv
Taelman, Lenny A Dirichlet unit theorem for Drinfeld modules. (English) Zbl 1217.11062 Math. Ann. 348, No. 4, 899-907 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11G09 11R58 PDFBibTeX XMLCite \textit{L. Taelman}, Math. Ann. 348, No. 4, 899--907 (2010; Zbl 1217.11062) Full Text: DOI arXiv
Stalder, Nicolas The semisimplicity conjecture for \(A\)-motives. (English) Zbl 1206.11073 Compos. Math. 146, No. 3, 561-598 (2010). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G09 11F80 13A35 PDFBibTeX XMLCite \textit{N. Stalder}, Compos. Math. 146, No. 3, 561--598 (2010; Zbl 1206.11073) Full Text: DOI arXiv