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Thakur, Dinesh S.

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Author ID: thakur.dinesh-s Recent zbMATH articles by "Thakur, Dinesh S."
Published as: Thakur, Dinesh S.; Thakur, Dinesh; Thakur, D. S.; Thakur, D.
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Documents Indexed: 71 Publications since 1986, including 4 Books

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 493 times in 218 Documents Cited by Year
Function field arithmetic. Zbl 1061.11001
Thakur, Dinesh S.
96
2004
Tensor powers of the Carlitz module and zeta values. Zbl 0713.11082
Anderson, Greg W.; Thakur, Dinesh S.
71
1990
Gamma functions for function fields and Drinfeld modules. Zbl 0734.11036
Thakur, Dinesh
24
1991
Shuffle relations for function field multizeta values. Zbl 1198.11077
Thakur, Dinesh S.
19
2010
Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139
Thakur, Dinesh S.
18
2009
Multizeta values for \(\mathbb F_q[t]\), their period interpretation, and relations between them. Zbl 1183.11052
Anderson, Greg W.; Thakur, Dinesh S.
17
2009
Gauss sums for \({\mathbb F}_ q[T]\). Zbl 0629.12014
Thakur, Dinesh S.
16
1988
Drinfeld modules and arithmetic in the function fields. Zbl 0756.11015
Thakur, Dinesh S.
15
1992
Zeta measure associated to \({\mathbb{F}}_ q[T]\). Zbl 0703.11065
Thakur, Dinesh S.
15
1990
Relations between multizeta values for \(\mathbb F_q[t]\). Zbl 1189.11032
Thakur, Dinesh S.
14
2009
Shtukas and Jacobi sums. Zbl 0770.11032
Thakur, Dinesh S.
13
1993
Diophantine approximation exponents and continued fractions for algebraic power series. Zbl 0966.11029
Thakur, Dinesh S.
11
1999
Zeta-like multizeta values for \(\mathbb{F}_q [t]\). Zbl 1365.11104
Lara Rodríguez, José Alejandro; Thakur, Dinesh S.
11
2014
On characteristic \(p\) zeta functions. Zbl 0841.11030
Thakur, Dinesh S.
10
1995
Iwasawa theory and cyclotomic function fields. Zbl 0811.11043
Thakur, Dinesh S.
10
1994
Hypergeometric functions for function fields. Zbl 0838.11043
Thakur, Dinesh S.
9
1995
Transcendence of gamma values for \(\mathbb{F}_ q [T]\). Zbl 0861.11043
Thakur, Dinesh S.
7
1996
Algebraic independence of arithmetic gamma values and Carlitz zeta values. Zbl 1268.11100
Chang, Chieh-Yu; Papanikolas, Matthew A.; Thakur, Dinesh S.; Yu, Jing
6
2010
On gamma functions for function fields. Zbl 0804.11041
Thakur, D. S.
6
1992
Infinitude of elliptic Carmichael numbers. Zbl 1251.11004
Ekstrom, Aaron; Pomerance, Carl; Thakur, Dinesh S.
6
2012
Continued fraction for the exponential for \(\mathbb{F}_ q[T]\). Zbl 0754.11019
Thakur, Dinesh S.
5
1992
Hypergeometric functions for function fields. II. Zbl 1024.11039
Thakur, Dinesh S.
5
2000
Exponential and continued fractions. Zbl 0866.11004
Thakur, Dinesh S.
5
1996
Gauss sums for function fields. Zbl 0716.11057
Thakur, Dinesh S.
5
1991
Diophantine approximation and deformation. Zbl 1043.11059
Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe
5
2000
Power sums of polynomials over finite fields and applications: a survey. Zbl 1378.11101
Thakur, Dinesh S.
5
2015
Multiplicative relations between coefficients of logarithmic derivatives of \(\mathbb{F}_q\)-linear functions and applications. Zbl 1366.11099
Lara Rodríguez, José Alejandro; Thakur, Dinesh S.
5
2015
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S.
4
1999
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. Zbl 1222.11089
Thakur, Dinesh S.
4
2011
Multizeta shuffle relations for function fields with non rational infinite place. Zbl 1402.11110
Lara Rodríguez, José Alejandro; Thakur, Dinesh S.
4
2016
An alternate approach to solitons for \(\mathbb F_q [t]\). Zbl 1044.11049
Thakur, Dinesh S.
3
1999
Approximation exponents for function fields. Zbl 1221.11156
Thakur, Dinesh S.
3
2009
Hypergeometric functions for function fields and transcendence. Zbl 1171.33010
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang
3
2009
Patterns of continued fractions for the analogues of \(e\) and related numbers in the function field case. Zbl 0888.11007
Thakur, Dinesh S.
3
1997
Behaviour of function field Gauss sums at infinity (with an appendix by José Felipe Voloch). Zbl 0791.11027
Thakur, Dinesh S.
3
1993
Binomial and factorial congruences for \(\mathbb F_q[t]\). Zbl 1303.11128
Thakur, Dinesh S.
3
2012
Arithmetic of gamma, zeta and multizeta values for function fields. Zbl 1396.11128
Thakur, Dinesh S.
3
2014
Integrable systems and number theory in finite characteristic. Zbl 0993.11029
Thakur, Dinesh S.
3
2001
Transcendence in positive characteristic and special values of hypergeometric functions. Zbl 1227.11088
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang
3
2011
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. II. Zbl 1272.11127
Thakur, Dinesh S.
3
2013
Fermat versus Wilson congruences, arithmetic derivatives and zeta values. Zbl 1378.11102
Thakur, Dinesh S.
3
2015
Computational classification of numbers and algebraic properties. Zbl 0916.03029
Beals, Robert M.; Thakur, Dinesh S.
2
1998
Automata-style proof of Voloch’s result on transcendence. Zbl 0853.11060
Thakur, Dinesh S.
2
1996
Leading coefficient of the Goss zeta value and \(p\)-ranks of Jacobians of Carlitz cyclotomic covers. Zbl 1430.11124
Böckle, Gebhard; Thakur, Dinesh S.
2
2017
Multizeta values for function fields: a survey. Zbl 1430.11119
Thakur, Dinesh S.
2
2017
Valuations of \(v\)-adic power sums and zero distribution for Goss’ \(v\)-adic zeta for \(\mathbb F_q[t]\). Zbl 1288.11086
Thakur, Dinesh S.
2
2013
A note on numerators of Bernoulli numbers. Zbl 1336.11021
Thakur, Dinesh S.
2
2012
Automata and transcendence. Zbl 0897.11026
Thakur, Dinesh S.
1
1998
Diophantine approximation in finite characteristic. Zbl 1142.11341
Thakur, Dinesh S.
1
2003
Number fields and function fields. (Zeta and gamma functions at all primes). Zbl 0658.12005
Thakur, D. S.
1
1986
Differential characterization of Wilson primes for \(\mathbb F_q[t]\). Zbl 1291.11013
Thakur, Dinesh S.
1
2013
Infinitude of Wilson primes for \(\mathbb F_q[t]\). Zbl 1329.11008
Sauerberg, Jim; Shu, Linghsueh; Thakur, Dinesh S.; Todd, George
1
2013
Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001
Mulay, Shashikant (ed.); Sathaye, Avinash (ed.); Abhyankar, Yvonne; Bajai, Chanderjit; Cutkosky, Steven Dale; Harbater, Dale; Heinzer, William; Shannon, David; Mulay, Shashikant; Mumford, David; Thakur, Dinesh
1
2014
From rationality to transcendence in finite characteristic. Zbl 1342.11064
Thakur, Dinesh S.
1
2012
Leading coefficient of the Goss zeta value and \(p\)-ranks of Jacobians of Carlitz cyclotomic covers. Zbl 1430.11124
Böckle, Gebhard; Thakur, Dinesh S.
2
2017
Multizeta values for function fields: a survey. Zbl 1430.11119
Thakur, Dinesh S.
2
2017
Multizeta shuffle relations for function fields with non rational infinite place. Zbl 1402.11110
Lara Rodríguez, José Alejandro; Thakur, Dinesh S.
4
2016
Power sums of polynomials over finite fields and applications: a survey. Zbl 1378.11101
Thakur, Dinesh S.
5
2015
Multiplicative relations between coefficients of logarithmic derivatives of \(\mathbb{F}_q\)-linear functions and applications. Zbl 1366.11099
Lara Rodríguez, José Alejandro; Thakur, Dinesh S.
5
2015
Fermat versus Wilson congruences, arithmetic derivatives and zeta values. Zbl 1378.11102
Thakur, Dinesh S.
3
2015
Zeta-like multizeta values for \(\mathbb{F}_q [t]\). Zbl 1365.11104
Lara Rodríguez, José Alejandro; Thakur, Dinesh S.
11
2014
Arithmetic of gamma, zeta and multizeta values for function fields. Zbl 1396.11128
Thakur, Dinesh S.
3
2014
Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001
Mulay, Shashikant; Sathaye, Avinash; Abhyankar, Yvonne; Bajai, Chanderjit; Cutkosky, Steven Dale; Harbater, Dale; Heinzer, William; Shannon, David; Mulay, Shashikant; Mumford, David; Thakur, Dinesh
1
2014
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. II. Zbl 1272.11127
Thakur, Dinesh S.
3
2013
Valuations of \(v\)-adic power sums and zero distribution for Goss’ \(v\)-adic zeta for \(\mathbb F_q[t]\). Zbl 1288.11086
Thakur, Dinesh S.
2
2013
Differential characterization of Wilson primes for \(\mathbb F_q[t]\). Zbl 1291.11013
Thakur, Dinesh S.
1
2013
Infinitude of Wilson primes for \(\mathbb F_q[t]\). Zbl 1329.11008
Sauerberg, Jim; Shu, Linghsueh; Thakur, Dinesh S.; Todd, George
1
2013
Infinitude of elliptic Carmichael numbers. Zbl 1251.11004
Ekstrom, Aaron; Pomerance, Carl; Thakur, Dinesh S.
6
2012
Binomial and factorial congruences for \(\mathbb F_q[t]\). Zbl 1303.11128
Thakur, Dinesh S.
3
2012
A note on numerators of Bernoulli numbers. Zbl 1336.11021
Thakur, Dinesh S.
2
2012
From rationality to transcendence in finite characteristic. Zbl 1342.11064
Thakur, Dinesh S.
1
2012
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. Zbl 1222.11089
Thakur, Dinesh S.
4
2011
Transcendence in positive characteristic and special values of hypergeometric functions. Zbl 1227.11088
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang
3
2011
Shuffle relations for function field multizeta values. Zbl 1198.11077
Thakur, Dinesh S.
19
2010
Algebraic independence of arithmetic gamma values and Carlitz zeta values. Zbl 1268.11100
Chang, Chieh-Yu; Papanikolas, Matthew A.; Thakur, Dinesh S.; Yu, Jing
6
2010
Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139
Thakur, Dinesh S.
18
2009
Multizeta values for \(\mathbb F_q[t]\), their period interpretation, and relations between them. Zbl 1183.11052
Anderson, Greg W.; Thakur, Dinesh S.
17
2009
Relations between multizeta values for \(\mathbb F_q[t]\). Zbl 1189.11032
Thakur, Dinesh S.
14
2009
Approximation exponents for function fields. Zbl 1221.11156
Thakur, Dinesh S.
3
2009
Hypergeometric functions for function fields and transcendence. Zbl 1171.33010
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang
3
2009
Function field arithmetic. Zbl 1061.11001
Thakur, Dinesh S.
96
2004
Diophantine approximation in finite characteristic. Zbl 1142.11341
Thakur, Dinesh S.
1
2003
Integrable systems and number theory in finite characteristic. Zbl 0993.11029
Thakur, Dinesh S.
3
2001
Hypergeometric functions for function fields. II. Zbl 1024.11039
Thakur, Dinesh S.
5
2000
Diophantine approximation and deformation. Zbl 1043.11059
Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe
5
2000
Diophantine approximation exponents and continued fractions for algebraic power series. Zbl 0966.11029
Thakur, Dinesh S.
11
1999
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S.
4
1999
An alternate approach to solitons for \(\mathbb F_q [t]\). Zbl 1044.11049
Thakur, Dinesh S.
3
1999
Computational classification of numbers and algebraic properties. Zbl 0916.03029
Beals, Robert M.; Thakur, Dinesh S.
2
1998
Automata and transcendence. Zbl 0897.11026
Thakur, Dinesh S.
1
1998
Patterns of continued fractions for the analogues of \(e\) and related numbers in the function field case. Zbl 0888.11007
Thakur, Dinesh S.
3
1997
Transcendence of gamma values for \(\mathbb{F}_ q [T]\). Zbl 0861.11043
Thakur, Dinesh S.
7
1996
Exponential and continued fractions. Zbl 0866.11004
Thakur, Dinesh S.
5
1996
Automata-style proof of Voloch’s result on transcendence. Zbl 0853.11060
Thakur, Dinesh S.
2
1996
On characteristic \(p\) zeta functions. Zbl 0841.11030
Thakur, Dinesh S.
10
1995
Hypergeometric functions for function fields. Zbl 0838.11043
Thakur, Dinesh S.
9
1995
Iwasawa theory and cyclotomic function fields. Zbl 0811.11043
Thakur, Dinesh S.
10
1994
Shtukas and Jacobi sums. Zbl 0770.11032
Thakur, Dinesh S.
13
1993
Behaviour of function field Gauss sums at infinity (with an appendix by José Felipe Voloch). Zbl 0791.11027
Thakur, Dinesh S.
3
1993
Drinfeld modules and arithmetic in the function fields. Zbl 0756.11015
Thakur, Dinesh S.
15
1992
On gamma functions for function fields. Zbl 0804.11041
Thakur, D. S.
6
1992
Continued fraction for the exponential for \(\mathbb{F}_ q[T]\). Zbl 0754.11019
Thakur, Dinesh S.
5
1992
Gamma functions for function fields and Drinfeld modules. Zbl 0734.11036
Thakur, Dinesh
24
1991
Gauss sums for function fields. Zbl 0716.11057
Thakur, Dinesh S.
5
1991
Tensor powers of the Carlitz module and zeta values. Zbl 0713.11082
Anderson, Greg W.; Thakur, Dinesh S.
71
1990
Zeta measure associated to \({\mathbb{F}}_ q[T]\). Zbl 0703.11065
Thakur, Dinesh S.
15
1990
Gauss sums for \({\mathbb F}_ q[T]\). Zbl 0629.12014
Thakur, Dinesh S.
16
1988
Number fields and function fields. (Zeta and gamma functions at all primes). Zbl 0658.12005
Thakur, D. S.
1
1986
all top 5

Cited by 159 Authors

27 Thakur, Dinesh S.
13 Anglès, Bruno
12 Chang, Chieh-Yu
11 Papanikolas, Matthew A.
9 Pellarin, Federico
7 Nguyen Ngoc Dong Quan
7 Yao, Jiayan
6 Denis, Laurent
6 Lara Rodríguez, José Alejandro
6 Mishiba, Yoshinori
6 Tavares Ribeiro, Floric
5 Chen, Huei-Jeng
5 Goss, David
5 Lasjaunias, Alain
5 Ngo Dac, Tuan
5 Taelman, Lenny
4 Anderson, Greg W.
4 Kochubeĭ, Anatoliĭ Naumovych
4 Yu, Jing
3 Allouche, Jean-Paul Simon
3 Bamunoba, Alex Samuel
3 Bandini, Andrea
3 Böckle, Gebhard
3 Diaz-Vargas, Javier
3 Gezmiş, Oğuz
3 Hamahata, Yoshinori
3 Harada, Ryotaro
3 Hindes, Wade
3 Maurischat, Andreas
3 Ooto, Tomohiro
3 Perkins, Rudolph Bronson
3 Petrov, Aleksandar
3 Yin, Linsheng
2 Ayadi, Khalil
2 Bae, Sunghan
2 Bars Cortina, Francesc
2 Brownawell, W. Dale
2 Demangos, Luca
2 El-Guindy, Ahmad
2 Gekeler, Ernst-Ulrich
2 Green, Nathan
2 Grishkov, Alexander Nikolaevich
2 Kang, Pyung-Lyun
2 Kuan, Yen-Liang
2 Lee, Yoonjin
2 Longhi, Ignazio
2 Luca, Florian
2 Sinha, Samarendra K.
2 Stănică, Pantelimon
2 Wen, Zhi-Ying
2 Yang, Zifeng
1 Abhyankar, Shreeram Shankar
1 Adam, David
1 Andrade, Julio Cesar
1 Armana, Cécile
1 Banks, William D.
1 Basak, Debmalya
1 Bautista-Ancona, Victor
1 Bergström, Jonas
1 Bondarewicz, Wojciech
1 Bosser, Vincent
1 Broumas, Antonios
1 Brumley, Farrell
1 Chaichana, Tuangrat
1 Chen, Imin
1 Chen, Yen-Tsung
1 Clark, Peter Louis
1 Cojocaru, Alina Carmen
1 Cornelissen, Gunther
1 Coscelli, Edoardo
1 Csajbók, Bence
1 Damamme, Gilles
1 de Mathan, Bernard
1 Degré-Pelletier, Nicolas
1 Demeslay, F.
1 Diene, Adama
1 Dipra, Mitra
1 Elouaer, Iheb
1 Feng, Keqin
1 Finch, Carrie E.
1 Firicel, Alina
1 Fresnel, Jean
1 Gazda, Quentin
1 Gendron, T. M.
1 Gomez-Perez, Domingo
1 Gonek, Steven M.
1 Gun, Sanoli
1 Guo, Li
1 Han, Guo-Niu
1 Harbater, David
1 Hartl, Urs T.
1 Hbaib, Mohamed
1 Hedayatzadeh, S. Mohammad Hadi
1 Hellegouarch, Yves
1 Hou, Xiang-Dong
1 Hsu, Chih-Nung
1 Jones, Rafe
1 Joshi, Kirti
1 Kaneko, Hajime
1 Keating, Jonathan P.
...and 59 more Authors
all top 5

Cited in 62 Serials

66 Journal of Number Theory
12 Journal de Théorie des Nombres de Bordeaux
11 Finite Fields and their Applications
10 Transactions of the American Mathematical Society
7 Journal of Algebra
6 Proceedings of the American Mathematical Society
5 Acta Arithmetica
5 Mathematische Annalen
5 Mathematische Zeitschrift
4 Compositio Mathematica
4 Duke Mathematical Journal
4 Inventiones Mathematicae
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Rocky Mountain Journal of Mathematics
3 Advances in Mathematics
3 Journal für die Reine und Angewandte Mathematik
3 Monatshefte für Mathematik
3 Documenta Mathematica
3 International Journal of Number Theory
2 Archiv der Mathematik
2 Manuscripta Mathematica
2 Journal of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Annals of Mathematics. Second Series
2 Research in the Mathematical Sciences
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Arkiv för Matematik
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Functiones et Approximatio. Commentarii Mathematici
1 Indiana University Mathematics Journal
1 Mathematika
1 Nagoya Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Theoretical Computer Science
1 Bulletin of the Korean Mathematical Society
1 Physica D
1 Publicacions Matemàtiques
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 L’Enseignement Mathématique. 2e Série
1 Glasnik Matematički. Serija III
1 Linear Algebra and its Applications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Annales Mathématiques Blaise Pascal
1 The Ramanujan Journal
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Journal of the European Mathematical Society (JEMS)
1 Integers
1 Journal of the Australian Mathematical Society
1 Journal of Applied Mathematics
1 Journal of Algebra and its Applications
1 Advances in High Energy Physics
1 Actes des Rencontres du C.I.R.M.

Citations by Year

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