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Papanikolas, Matthew A.

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Author ID: papanikolas.matthew-a Recent zbMATH articles by "Papanikolas, Matthew A."
Published as: Papanikolas, Matthew; Papanikolas, Matthew A.
Documents Indexed: 31 Publications since 2000, including 1 Book

Publications by Year

Citations contained in zbMATH

27 Publications have been cited 224 times in 121 Documents Cited by Year
Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms. Zbl 1235.11074
Papanikolas, Matthew A.
42
2008
Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic. Zbl 1064.11055
Anderson, Greg W.; Brownawell, W. Dale; Papanikolas, Matthew A.
40
2004
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
26
2004
Algebraic independence of periods and logarithms of Drinfeld modules. With an Appendix by Brian Conrad. Zbl 1271.11079
Chang, Chieh-Yu; Papanikolas, Matthew A.
13
2012
Linear independence of \(\Gamma\) values in positive characteristic. Zbl 1002.11051
Brownawell, W. Dale; Papanikolas, Matthew A.
13
2002
Algebraic relations among periods and logarithms of rank 2 Drinfeld modules. Zbl 1216.11065
Chang, Chieh-Yu; Papanikolas, Matthew A.
12
2011
A Weil-Barsotti formula for Drinfeld modules. Zbl 1090.11040
Papanikolas, Matthew A.; Ramachandran, Niranjan
9
2003
A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078
McCarthy, Dermot; Papanikolas, Matthew A.
7
2015
Combinatorics of traces of Hecke operators. Zbl 1064.11038
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
7
2004
Identities for Anderson generating functions for Drinfeld modules. Zbl 1322.11062
El-Guindy, Ahmad; Papanikolas, Matthew A.
6
2014
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
Explicit formulas for Drinfeld modules and their periods. Zbl 1272.11078
El-Guindy, Ahmad; Papanikolas, Matthew A.
5
2013
Geometric gamma values and zeta values in positive characteristic. Zbl 1247.11115
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing
5
2010
A formula and a congruence for Ramanujan’s \(\tau\)-function. Zbl 1161.11334
Papanikolas, Matthew
5
2006
On the torsion of Jacobians of principal modular curves of level \(3^n\). Zbl 1125.11034
Papanikolas, Matthew; Rasmussen, Christopher
4
2007
An effective criterion for Eulerian multizeta values in positive characteristic. Zbl 1417.11139
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing
3
2019
Log-algebraic identities on Drinfeld modules and special \(L\)-values. Zbl 1450.11057
Chang, Chieh-Yu; El-Guindy, Ahmad; Papanikolas, Matthew A.
3
2018
Algebraic independence of values of Goss \(L\)-functions at \(s=1\). Zbl 1328.11082
Lutes, Brad A.; Papanikolas, Matthew A.
3
2013
Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic. Zbl 1315.11066
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing
3
2011
Higher Weierstrass points on \(X_{0}(p)\). Zbl 1114.11056
Ahlgren, Scott; Papanikolas, Matthew
3
2003
Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves. Zbl 1441.11150
Green, Nathan; Papanikolas, Matthew A.
2
2018
The Mahler measure of a Calabi-Yau threefold and special \(L\)-values. Zbl 1294.11187
Papanikolas, Matthew A.; Rogers, Mathew D.; Samart, Detchat
2
2014
A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives. Zbl 1440.14020
Brownawell, W. Dale; Papanikolas, Matthew A.
1
2020
The de Rham isomorphism for Drinfeld modules over Tate algebras. Zbl 07034189
Gezmiş, Oğuz; Papanikolas, Matthew A.
1
2019
\(p\)-adic properties of values of the modular \(j\)-function. Zbl 1082.11024
Ono, Ken; Papanikolas, Matthew A.
1
2004
Quadratic twists of modular forms and elliptic curves. Zbl 1176.11022
Ono, Ken; Papanikolas, Matthew A.
1
2002
Canonical heights on elliptic curves in characteristic \(p\). Zbl 1159.11312
Papanikolas, Matthew A.
1
2000
A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives. Zbl 1440.14020
Brownawell, W. Dale; Papanikolas, Matthew A.
1
2020
An effective criterion for Eulerian multizeta values in positive characteristic. Zbl 1417.11139
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing
3
2019
The de Rham isomorphism for Drinfeld modules over Tate algebras. Zbl 07034189
Gezmiş, Oğuz; Papanikolas, Matthew A.
1
2019
Log-algebraic identities on Drinfeld modules and special \(L\)-values. Zbl 1450.11057
Chang, Chieh-Yu; El-Guindy, Ahmad; Papanikolas, Matthew A.
3
2018
Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves. Zbl 1441.11150
Green, Nathan; Papanikolas, Matthew A.
2
2018
A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078
McCarthy, Dermot; Papanikolas, Matthew A.
7
2015
Identities for Anderson generating functions for Drinfeld modules. Zbl 1322.11062
El-Guindy, Ahmad; Papanikolas, Matthew A.
6
2014
The Mahler measure of a Calabi-Yau threefold and special \(L\)-values. Zbl 1294.11187
Papanikolas, Matthew A.; Rogers, Mathew D.; Samart, Detchat
2
2014
Explicit formulas for Drinfeld modules and their periods. Zbl 1272.11078
El-Guindy, Ahmad; Papanikolas, Matthew A.
5
2013
Algebraic independence of values of Goss \(L\)-functions at \(s=1\). Zbl 1328.11082
Lutes, Brad A.; Papanikolas, Matthew A.
3
2013
Algebraic independence of periods and logarithms of Drinfeld modules. With an Appendix by Brian Conrad. Zbl 1271.11079
Chang, Chieh-Yu; Papanikolas, Matthew A.
13
2012
Algebraic relations among periods and logarithms of rank 2 Drinfeld modules. Zbl 1216.11065
Chang, Chieh-Yu; Papanikolas, Matthew A.
12
2011
Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic. Zbl 1315.11066
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing
3
2011
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
Geometric gamma values and zeta values in positive characteristic. Zbl 1247.11115
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing
5
2010
Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms. Zbl 1235.11074
Papanikolas, Matthew A.
42
2008
On the torsion of Jacobians of principal modular curves of level \(3^n\). Zbl 1125.11034
Papanikolas, Matthew; Rasmussen, Christopher
4
2007
A formula and a congruence for Ramanujan’s \(\tau\)-function. Zbl 1161.11334
Papanikolas, Matthew
5
2006
Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic. Zbl 1064.11055
Anderson, Greg W.; Brownawell, W. Dale; Papanikolas, Matthew A.
40
2004
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
26
2004
Combinatorics of traces of Hecke operators. Zbl 1064.11038
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
7
2004
\(p\)-adic properties of values of the modular \(j\)-function. Zbl 1082.11024
Ono, Ken; Papanikolas, Matthew A.
1
2004
A Weil-Barsotti formula for Drinfeld modules. Zbl 1090.11040
Papanikolas, Matthew A.; Ramachandran, Niranjan
9
2003
Higher Weierstrass points on \(X_{0}(p)\). Zbl 1114.11056
Ahlgren, Scott; Papanikolas, Matthew
3
2003
Linear independence of \(\Gamma\) values in positive characteristic. Zbl 1002.11051
Brownawell, W. Dale; Papanikolas, Matthew A.
13
2002
Quadratic twists of modular forms and elliptic curves. Zbl 1176.11022
Ono, Ken; Papanikolas, Matthew A.
1
2002
Canonical heights on elliptic curves in characteristic \(p\). Zbl 1159.11312
Papanikolas, Matthew A.
1
2000
all top 5

Cited by 98 Authors

15 Papanikolas, Matthew A.
11 Chang, Chieh-Yu
8 Pellarin, Federico
7 McCarthy, Dermot
7 Thakur, Dinesh S.
4 Anglès, Bruno
4 Fuselier, Jenny G.
4 Mishiba, Yoshinori
4 Taelman, Lenny
3 El-Guindy, Ahmad
3 Evans, Ronald J.
3 Gezmiş, Oğuz
3 Hartl, Urs T.
3 Maurischat, Andreas
3 Osburn, Robert
3 Perkins, Rudolph Bronson
3 Rasmussen, Christopher
3 Saikia, Neelam
3 Swisher, Holly
3 Tavares Ribeiro, Floric
3 Tu, Fang-Ting
3 Yu, Jing
2 Anderson, Greg W.
2 Barman, Rupam
2 Brownawell, W. Dale
2 Goodson, Heidi
2 Greene, John
2 Gun, Sanoli
2 Lennon, Catherine
2 Long, Ling
2 Murty, Maruti Ram
2 Ngo Dac, Tuan
2 Ramachandran, Niranjan
2 Rath, Purusottam
2 Rouse, Jeremy A.
2 Straub, Armin
2 Tamagawa, Akio
2 Treneer, Stephanie
2 Wen, Zhi-Ying
2 Yao, Jiayan
2 Zudilin, Wadim
1 Ahlgren, Scott D.
1 Al Hajj Shehadeh, Hala
1 Bachmayr, Annette
1 Balog, Antal
1 Barquero-Sanchez, Adrian
1 Bornhofen, Matthias
1 Bosser, Vincent
1 Deines-Schartz, Alyson
1 Fernandes, Gwladys
1 Frechette, Sharon M.
1 Garthwaite, Sharon Anne
1 Goss, David
1 Goto, Akinari
1 Green, Nathan
1 Hoshi, Yuichiro
1 Iijima, Yu
1 Jaafar, Samar
1 Kedlaya, Kiran Sridhara
1 Khuri-Makdisi, Kamal
1 Kim, Wansu
1 Kowalski, Piotr
1 Lafforgue, Vincent
1 Larsson, Daniel
1 Li, Maosheng
1 Loh, Po-Ru
1 Lutes, Brad A.
1 Malmskog, Beth
1 Masri, Riad
1 Matzat, Bernd Heinrich
1 Ono, Ken
1 Petrov, Aleksandar
1 Pink, Richard
1 Popa, Alexandru A.
1 Pujahari, Sudhir
1 Rhoades, Robert C.
1 Rivoal, Tanguy
1 Roberts, David Peter
1 Rodriguez-Villegas, Fernando
1 Rogers, Mathew D.
1 Rosen, Julian
1 Rosen, Michael I.
1 Royer, Emmanuel
1 Samart, Detchat
1 Schneider, Carsten
1 Shnidman, Ariel
1 Singh, Rajneesh Kumar
1 Smyth, Christopher J.
1 Tanaka, Taka-aki
1 Vega, M. Valentina
1 Vincent, Christelle
1 Wan, James Gu Feng
1 Wu, Jie
1 Wüstholz, Gisbert
1 Yang, Yifan
1 Zhao, Liang
1 Zhao, Liang
1 Zucker, I. John

Citations by Year