Function field arithmetic. Zbl 1061.11001
Thakur, Dinesh S. |
|
2004
|
Tensor powers of the Carlitz module and zeta values. Zbl 0713.11082
Anderson, Greg W.; Thakur, Dinesh S. |
|
1990
|
Multizeta values for \(\mathbb F_q[t]\), their period interpretation, and relations between them. Zbl 1183.11052
Anderson, Greg W.; Thakur, Dinesh S. |
|
2009
|
Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139
Thakur, Dinesh S. |
|
2009
|
Gamma functions for function fields and Drinfeld modules. Zbl 0734.11036
Thakur, Dinesh |
|
1991
|
Shuffle relations for function field multizeta values. Zbl 1198.11077
Thakur, Dinesh S. |
|
2010
|
Drinfeld modules and arithmetic in the function fields. Zbl 0756.11015
Thakur, Dinesh S. |
|
1992
|
Relations between multizeta values for \(\mathbb F_q[t]\). Zbl 1189.11032
Thakur, Dinesh S. |
|
2009
|
Shtukas and Jacobi sums. Zbl 0770.11032
Thakur, Dinesh S. |
|
1993
|
Gauss sums for \({\mathbb F}_ q[T]\). Zbl 0629.12014
Thakur, Dinesh S. |
|
1988
|
Zeta-like multizeta values for \(\mathbb{F}_q [t]\). Zbl 1365.11104
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. |
|
2014
|
Zeta measure associated to \({\mathbb{F}}_ q[T]\). Zbl 0703.11065
Thakur, Dinesh S. |
|
1990
|
Hypergeometric functions for function fields. Zbl 0838.11043
Thakur, Dinesh S. |
|
1995
|
On characteristic \(p\) zeta functions. Zbl 0841.11030
Thakur, Dinesh S. |
|
1995
|
Diophantine approximation exponents and continued fractions for algebraic power series. Zbl 0966.11029
Thakur, Dinesh S. |
|
1999
|
Iwasawa theory and cyclotomic function fields. Zbl 0811.11043
Thakur, Dinesh S. |
|
1994
|
Multizeta values for function fields: a survey. Zbl 1430.11119
Thakur, Dinesh S. |
|
2017
|
Infinitude of elliptic Carmichael numbers. Zbl 1251.11004
Ekstrom, Aaron; Pomerance, Carl; Thakur, Dinesh S. |
|
2012
|
Transcendence of gamma values for \(\mathbb{F}_ q [T]\). Zbl 0861.11043
Thakur, Dinesh S. |
|
1996
|
Gauss sums for function fields. Zbl 0716.11057
Thakur, Dinesh S. |
|
1991
|
Algebraic independence of arithmetic gamma values and Carlitz zeta values. Zbl 1268.11100
Chang, Chieh-Yu; Papanikolas, Matthew A.; Thakur, Dinesh S.; Yu, Jing |
|
2010
|
Power sums of polynomials over finite fields and applications: a survey. Zbl 1378.11101
Thakur, Dinesh S. |
|
2015
|
Hypergeometric functions for function fields. II. Zbl 1024.11039
Thakur, Dinesh S. |
|
2000
|
On gamma functions for function fields. Zbl 0804.11041
Thakur, D. S. |
|
1992
|
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. Zbl 1222.11089
Thakur, Dinesh S. |
|
2011
|
Diophantine approximation and deformation. Zbl 1043.11059
Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe |
|
2000
|
Multizeta in function field arithmetic. Zbl 1441.11222
Thakur, Dinesh S. |
|
2020
|
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. |
|
2015
|
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. II. Zbl 1272.11127
Thakur, Dinesh S. |
|
2013
|
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S. |
|
1999
|
Integrable systems and number theory in finite characteristic. Zbl 0993.11029
Thakur, Dinesh S. |
|
2001
|
Exponential and continued fractions. Zbl 0866.11004
Thakur, Dinesh S. |
|
1996
|
Continued fraction for the exponential for \(\mathbb{F}_ q[T]\). Zbl 0754.11019
Thakur, Dinesh S. |
|
1992
|
Multizeta shuffle relations for function fields with non rational infinite place. Zbl 1402.11110
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. |
|
2016
|
\(p\)-adic geometry. Lectures from the 2007 10th Arizona winter school, Tucson, AZ, USA, March 10–14, 2007. Zbl 1144.14001
|
|
2008
|
An alternate approach to solitons for \(\mathbb F_q [t]\). Zbl 1044.11049
Thakur, Dinesh S. |
|
1999
|
Automata and transcendence. Zbl 0897.11026
Thakur, Dinesh S. |
|
1998
|
Transcendence in positive characteristic and special values of hypergeometric functions. Zbl 1227.11088
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang |
|
2011
|
Arithmetic of gamma, zeta and multizeta values for function fields. Zbl 1396.11128
Thakur, Dinesh S. |
|
2014
|
Fermat versus Wilson congruences, arithmetic derivatives and zeta values. Zbl 1378.11102
Thakur, Dinesh S. |
|
2015
|
A note on numerators of Bernoulli numbers. Zbl 1336.11021
Thakur, Dinesh S. |
|
2012
|
Binomial and factorial congruences for \(\mathbb F_q[t]\). Zbl 1303.11128
Thakur, Dinesh S. |
|
2012
|
Hypergeometric functions for function fields and transcendence. Zbl 1171.33010
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang |
|
2009
|
Approximation exponents for function fields. Zbl 1221.11156
Thakur, Dinesh S. |
|
2009
|
Computational classification of numbers and algebraic properties. Zbl 0916.03029
Beals, Robert M.; Thakur, Dinesh S. |
|
1998
|
Patterns of continued fractions for the analogues of \(e\) and related numbers in the function field case. Zbl 0888.11007
Thakur, Dinesh S. |
|
1997
|
Behaviour of function field Gauss sums at infinity (with an appendix by José Felipe Voloch). Zbl 0791.11027
Thakur, Dinesh S. |
|
1993
|
Zeta-like multizeta values for higher genus curves. Zbl 1532.11117
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. |
|
2021
|
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. Zbl 1305.11001
|
|
2014
|
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. |
|
2013
|
From rationality to transcendence in finite characteristic. Zbl 1342.11064
Thakur, Dinesh S. |
|
2012
|
Automata-style proof of Voloch’s result on transcendence. Zbl 0853.11060
Thakur, Dinesh S. |
|
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. |
|
2017
|
Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001
Abhyankar, Yvonne; Bajai, Chanderjit; Cutkosky, Steven Dale; Harbater, Dale; Heinzer, William; Shannon, David; Mulay, Shashikant; Mumford, David; Thakur, Dinesh |
|
2014
|
Differential characterization of Wilson primes for \(\mathbb F_q[t]\). Zbl 1291.11013
Thakur, Dinesh S. |
|
2013
|
Preface. Zbl 1151.14302
Savitt, David; Thakur, Dinesh |
|
2008
|
Cyclotomic fields and related topics. Proceedings of the summer school, Pune, India, June 7–30, 1999. Zbl 0977.00024
|
|
2000
|
Diophantine approximation in finite characteristic. Zbl 1142.11341
Thakur, Dinesh S. |
|
2003
|
Number fields and function fields. (Zeta and gamma functions at all primes). Zbl 0658.12005
Thakur, D. S. |
|
1986
|
Infinitude of Wilson primes for \(\mathbb F_q[t]\). Zbl 1329.11008
Sauerberg, Jim; Shu, Linghsueh; Thakur, Dinesh S.; Todd, George |
|
2013
|
Automata methods in transcendence. Zbl 1441.11052
Thakur, Dinesh S. |
|
2020
|
Zeta-like multizeta values for higher genus curves. Zbl 1532.11117
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. |
|
2021
|
Multizeta in function field arithmetic. Zbl 1441.11222
Thakur, Dinesh S. |
|
2020
|
Automata methods in transcendence. Zbl 1441.11052
Thakur, Dinesh S. |
|
2020
|
Multizeta values for function fields: a survey. Zbl 1430.11119
Thakur, Dinesh S. |
|
2017
|
Leading coefficient of the Goss zeta value and \(p\)-ranks of Jacobians of Carlitz cyclotomic covers. Zbl 1430.11124
Böckle, Gebhard; Thakur, Dinesh S. |
|
2017
|
Multizeta shuffle relations for function fields with non rational infinite place. Zbl 1402.11110
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. |
|
2016
|
Power sums of polynomials over finite fields and applications: a survey. Zbl 1378.11101
Thakur, Dinesh S. |
|
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. |
|
2015
|
Fermat versus Wilson congruences, arithmetic derivatives and zeta values. Zbl 1378.11102
Thakur, Dinesh S. |
|
2015
|
Zeta-like multizeta values for \(\mathbb{F}_q [t]\). Zbl 1365.11104
Lara Rodríguez, José Alejandro; Thakur, Dinesh S. |
|
2014
|
Arithmetic of gamma, zeta and multizeta values for function fields. Zbl 1396.11128
Thakur, Dinesh S. |
|
2014
|
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. Zbl 1305.11001
|
|
2014
|
Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001
Abhyankar, Yvonne; Bajai, Chanderjit; Cutkosky, Steven Dale; Harbater, Dale; Heinzer, William; Shannon, David; Mulay, Shashikant; Mumford, David; Thakur, Dinesh |
|
2014
|
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. II. Zbl 1272.11127
Thakur, Dinesh S. |
|
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. |
|
2013
|
Differential characterization of Wilson primes for \(\mathbb F_q[t]\). Zbl 1291.11013
Thakur, Dinesh S. |
|
2013
|
Infinitude of Wilson primes for \(\mathbb F_q[t]\). Zbl 1329.11008
Sauerberg, Jim; Shu, Linghsueh; Thakur, Dinesh S.; Todd, George |
|
2013
|
Infinitude of elliptic Carmichael numbers. Zbl 1251.11004
Ekstrom, Aaron; Pomerance, Carl; Thakur, Dinesh S. |
|
2012
|
A note on numerators of Bernoulli numbers. Zbl 1336.11021
Thakur, Dinesh S. |
|
2012
|
Binomial and factorial congruences for \(\mathbb F_q[t]\). Zbl 1303.11128
Thakur, Dinesh S. |
|
2012
|
From rationality to transcendence in finite characteristic. Zbl 1342.11064
Thakur, Dinesh S. |
|
2012
|
Higher Diophantine approximation exponents and continued fraction symmetries for function fields. Zbl 1222.11089
Thakur, Dinesh S. |
|
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 |
|
2011
|
Shuffle relations for function field multizeta values. Zbl 1198.11077
Thakur, Dinesh S. |
|
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 |
|
2010
|
Multizeta values for \(\mathbb F_q[t]\), their period interpretation, and relations between them. Zbl 1183.11052
Anderson, Greg W.; Thakur, Dinesh S. |
|
2009
|
Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139
Thakur, Dinesh S. |
|
2009
|
Relations between multizeta values for \(\mathbb F_q[t]\). Zbl 1189.11032
Thakur, Dinesh S. |
|
2009
|
Hypergeometric functions for function fields and transcendence. Zbl 1171.33010
Thakur, Dinesh S.; Wen, Zhi-Ying; Yao, Jia-Yan; Zhao, Liang |
|
2009
|
Approximation exponents for function fields. Zbl 1221.11156
Thakur, Dinesh S. |
|
2009
|
\(p\)-adic geometry. Lectures from the 2007 10th Arizona winter school, Tucson, AZ, USA, March 10–14, 2007. Zbl 1144.14001
|
|
2008
|
Preface. Zbl 1151.14302
Savitt, David; Thakur, Dinesh |
|
2008
|
Function field arithmetic. Zbl 1061.11001
Thakur, Dinesh S. |
|
2004
|
Diophantine approximation in finite characteristic. Zbl 1142.11341
Thakur, Dinesh S. |
|
2003
|
Integrable systems and number theory in finite characteristic. Zbl 0993.11029
Thakur, Dinesh S. |
|
2001
|
Hypergeometric functions for function fields. II. Zbl 1024.11039
Thakur, Dinesh S. |
|
2000
|
Diophantine approximation and deformation. Zbl 1043.11059
Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe |
|
2000
|
Cyclotomic fields and related topics. Proceedings of the summer school, Pune, India, June 7–30, 1999. Zbl 0977.00024
|
|
2000
|
Diophantine approximation exponents and continued fractions for algebraic power series. Zbl 0966.11029
Thakur, Dinesh S. |
|
1999
|
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S. |
|
1999
|
An alternate approach to solitons for \(\mathbb F_q [t]\). Zbl 1044.11049
Thakur, Dinesh S. |
|
1999
|
Automata and transcendence. Zbl 0897.11026
Thakur, Dinesh S. |
|
1998
|
Computational classification of numbers and algebraic properties. Zbl 0916.03029
Beals, Robert M.; Thakur, Dinesh S. |
|
1998
|
Patterns of continued fractions for the analogues of \(e\) and related numbers in the function field case. Zbl 0888.11007
Thakur, Dinesh S. |
|
1997
|
Transcendence of gamma values for \(\mathbb{F}_ q [T]\). Zbl 0861.11043
Thakur, Dinesh S. |
|
1996
|
Exponential and continued fractions. Zbl 0866.11004
Thakur, Dinesh S. |
|
1996
|
Automata-style proof of Voloch’s result on transcendence. Zbl 0853.11060
Thakur, Dinesh S. |
|
1996
|
Hypergeometric functions for function fields. Zbl 0838.11043
Thakur, Dinesh S. |
|
1995
|
On characteristic \(p\) zeta functions. Zbl 0841.11030
Thakur, Dinesh S. |
|
1995
|
Iwasawa theory and cyclotomic function fields. Zbl 0811.11043
Thakur, Dinesh S. |
|
1994
|
Shtukas and Jacobi sums. Zbl 0770.11032
Thakur, Dinesh S. |
|
1993
|
Behaviour of function field Gauss sums at infinity (with an appendix by José Felipe Voloch). Zbl 0791.11027
Thakur, Dinesh S. |
|
1993
|
Drinfeld modules and arithmetic in the function fields. Zbl 0756.11015
Thakur, Dinesh S. |
|
1992
|
On gamma functions for function fields. Zbl 0804.11041
Thakur, D. S. |
|
1992
|
Continued fraction for the exponential for \(\mathbb{F}_ q[T]\). Zbl 0754.11019
Thakur, Dinesh S. |
|
1992
|
Gamma functions for function fields and Drinfeld modules. Zbl 0734.11036
Thakur, Dinesh |
|
1991
|
Gauss sums for function fields. Zbl 0716.11057
Thakur, Dinesh S. |
|
1991
|
Tensor powers of the Carlitz module and zeta values. Zbl 0713.11082
Anderson, Greg W.; Thakur, Dinesh S. |
|
1990
|
Zeta measure associated to \({\mathbb{F}}_ q[T]\). Zbl 0703.11065
Thakur, Dinesh S. |
|
1990
|
Gauss sums for \({\mathbb F}_ q[T]\). Zbl 0629.12014
Thakur, Dinesh S. |
|
1988
|
Number fields and function fields. (Zeta and gamma functions at all primes). Zbl 0658.12005
Thakur, D. S. |
|
1986
|