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Author ID: goss.david Recent zbMATH articles by "Goss, David Mark"
Published as: Goss, David; Goss, D.
Homepage: https://people.math.osu.edu/goss.3/
External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef
Documents Indexed: 48 Publications since 1978, including 2 Books
2 Contributions as Editor · 2 Further Contributions
Reviewing Activity: 189 Reviews
Biographic References: 2 Publications
Co-Authors: 11 Co-Authors with 7 Joint Publications
127 Co-Co-Authors
all top 5

Co-Authors

44 single-authored
2 Böckle, Gebhard
2 Sinnott, Warren M.
1 Ahmadi, Omran
1 Anglès, Bruno
1 Ball, L. Simeon
1 Bars Cortina, Francesc
1 Bernstein, Daniel Julius
1 Blache, Régis
1 Blake, Ian F.
1 Blokhuis, Aart
1 Carlet, Claude
1 Castro, Francis Noel
1 Chand Gupta, Kishan
1 Charpin, Pascale
1 Cioabă, Sebastian M.
1 Cohen, Stephen D.
1 Colbourn, Charles J.
1 Coulter, Robert S.
1 de Smit, Bart
1 Ding, Jintai
1 Dinitz, Jeffrey H.
1 Doche, Christophe
1 Dumas, Jean-Guillaume
1 Ebert, Gary Lee
1 Effinger, Gove W.
1 Enge, Andreas
1 Evans, Ronald J.
1 Fan, Haining
1 Fitzgerald, Robert W.
1 Fried, Michael David
1 Fu, Lei
1 Gao, Shuhong
1 Garaev, Moubariz Z.
1 Garcia, Arnaldo
1 Giesbrecht, Mark W.
1 Gong, Guang
1 Gow, Roderick
1 Hachenberger, Dirk
1 Hartl, Urs T.
1 Hasan, M. Anwar
1 Hayes, David Ryan
1 Helleseth, Tor
1 Hinkelmann, Franziska
1 Hirschfeld, James William Peter
1 Hou, Xiang-Dong
1 Huffman, W. Cary
1 Jacobson, Michael John jun.
1 Jedwab, Jonathan
1 Jungnickel, Dieter
1 Kaltofen, Erich L.
1 Kholosha, Alexander
1 Kyuregyan, Melsik K.
1 Lange, Tanja
1 Laubenbacher, Reinhard C.
1 Lecerf, Grégoire
1 Lenstra, Hendrik W. jun.
1 Liao, Qunying
1 Lidl, Rudolf
1 Litsyn, Simon N.
1 Longhi, Ignazio
1 McGuire, Gary
1 Meidl, Wilfried
1 Menezes, Alfred J.
1 Mullen, Gary L.
1 Murty, Kumar
1 Murty, Maruti Ram
1 Ngo Dac, Tuan
1 Niederreiter, Harald
1 Odlyzko, Andrew M.
1 Ostafe, Alina
1 Panario, Daniel
1 Papanikolas, Matthew A.
1 Pellarin, Federico
1 Pernet, Clément
1 Pott, Alexander
1 Rojas-León, Antonio
1 Roquette, Peter
1 Rosen, Michael I.
1 Rötteler, Martin
1 Rubio, Ivelisse M.
1 Scheidler, Renate
1 Schmidt, Kai-Uwe
1 Shparlinski, Igor E.
1 Silverman, Joseph Hillel
1 Stevens, Brett
1 Stichtenoth, Henning
1 Storme, Leo
1 Takeshita, Oscar Yassuo
1 Tavares Ribeiro, Floric
1 Thakur, Dinesh S.
1 Thas, Joseph Adolphe
1 Thériault, Nicolas
1 Thomson, David George
1 Trihan, Fabien
1 Ulmer, Douglas L.
1 Voloch, José Felipe
1 von zur Gathen, Joachim
1 Wan, Daqing
1 Wan, Zhexian
1 Wang, Qiang (Steven)
...and 3 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 958 times in 486 Documents Cited by Year
Basic structures of function field arithmetic. Zbl 0874.11004
Goss, David
285
1996
Handbook of finite fields. Zbl 1319.11001
158
2013
Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021
Goss, David
53
1998
The algebraist’s upper half-plane. Zbl 0433.14017
Goss, David
49
1980
Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021
Goss, David
45
1980
\(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020
Goss, David
43
1980
Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006
Goss, David
35
1989
Von Staudt for \(\mathbb F_q[T]\). Zbl 0404.12013
Goss, David
28
1978
\(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028
Goss, David
22
1992
The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010
Goss, David
20
1983
An addendum to “\(v\)-adic zeta functions, \(L\)-series, and measures for function fields”. Zbl 0402.12007
Goss, David
18
1979
\(p\)-adic Eisenstein series for function fields. Zbl 0388.10020
Goss, David
17
1980
Class-groups of function fields. Zbl 0571.12006
Goss, David; Sinnott, Warren
14
1985
On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010
Goss, David
13
1983
Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013
Goss, David
11
1982
A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036
Goss, David
11
2000
The \(\Gamma\)-function in the arithmetic of function fields. Zbl 0661.12006
Goss, David
10
1988
Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves. Zbl 1080.11044
Goss, David
10
2005
On the \(L\)-series of F. Pellarin. Zbl 1281.11045
Goss, David
10
2013
\(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006
Goss, David
9
1979
The \(\Gamma\)-ideal and special zeta-values. Zbl 0441.12002
Goss, David
9
1980
A construction of \(\mathfrak{v}\)-adic modular forms. Zbl 1326.11020
Goss, David
9
2014
Drinfeld modules: Cohomology and special functions. Zbl 0827.11035
Goss, David
9
1994
Zeta phenomenology. Zbl 1270.11094
Goss, David
6
2011
Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047
Goss, David
6
1992
A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026
Goss, David
5
1991
Can a Drinfeld module be modular? Zbl 1062.11034
Goss, David
4
2002
On a Fermat equation arising in the arithmetic theory of functions fields. Zbl 0494.12008
Goss, D.
4
1982
Analogies between global fields. Zbl 0619.12009
Goss, David
4
1987
A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta-function. Zbl 0427.30005
Goss, David
4
1981
The impact of the infinite primes on the Riemann hypothesis for characteristic \(p\) valued \(L\)-series. Zbl 1117.11306
Goss, David
4
2003
The adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030
Goss, David
4
1995
The theory of totally real function fields. Zbl 0602.14029
Goss, David
4
1986
Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048
Goss, David
3
2007
Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030
Goss, David
3
1992
A short introduction to rigid analytic spaces. Zbl 0794.14007
Goss, David
3
1992
On the holomorphy on certain non-Abelian L-series. Zbl 0575.14019
Goss, David
3
1985
\(L\)-series of Grössencharakters of type \(A_0\) for function fields. Zbl 0941.11504
Goss, David
2
1992
\(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zbl 1441.14003
2
2020
Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003
Goss, David
2
1985
Digit permutations revisited. Zbl 1432.11126
Goss, David
2
2017
Special values of Artin L-series. Zbl 0669.12007
Goss, David; Sinnott, Warren
2
1986
The arithmetic of function fields. Proceedings of the workshop at the Ohio State University, June 17-26, 1991, Columbus, Ohio (USA). Zbl 0771.00031
1
1992
Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049
Goss, David
1
2016
The digit principle and derivates of certain \(L\)-series. Zbl 1468.11183
Goss, David; Anglès, Bruno; Ngo Dac, Tuan; Pellarin, Federico; Tavares Ribeiro, Floric
1
2019
\(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zbl 1441.14003
2
2020
The digit principle and derivates of certain \(L\)-series. Zbl 1468.11183
Goss, David; Anglès, Bruno; Ngo Dac, Tuan; Pellarin, Federico; Tavares Ribeiro, Floric
1
2019
Digit permutations revisited. Zbl 1432.11126
Goss, David
2
2017
Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049
Goss, David
1
2016
A construction of \(\mathfrak{v}\)-adic modular forms. Zbl 1326.11020
Goss, David
9
2014
Handbook of finite fields. Zbl 1319.11001
158
2013
On the \(L\)-series of F. Pellarin. Zbl 1281.11045
Goss, David
10
2013
Zeta phenomenology. Zbl 1270.11094
Goss, David
6
2011
Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048
Goss, David
3
2007
Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves. Zbl 1080.11044
Goss, David
10
2005
The impact of the infinite primes on the Riemann hypothesis for characteristic \(p\) valued \(L\)-series. Zbl 1117.11306
Goss, David
4
2003
Can a Drinfeld module be modular? Zbl 1062.11034
Goss, David
4
2002
A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036
Goss, David
11
2000
Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021
Goss, David
53
1998
Basic structures of function field arithmetic. Zbl 0874.11004
Goss, David
285
1996
The adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030
Goss, David
4
1995
Drinfeld modules: Cohomology and special functions. Zbl 0827.11035
Goss, David
9
1994
\(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028
Goss, David
22
1992
Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047
Goss, David
6
1992
Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030
Goss, David
3
1992
A short introduction to rigid analytic spaces. Zbl 0794.14007
Goss, David
3
1992
\(L\)-series of Grössencharakters of type \(A_0\) for function fields. Zbl 0941.11504
Goss, David
2
1992
The arithmetic of function fields. Proceedings of the workshop at the Ohio State University, June 17-26, 1991, Columbus, Ohio (USA). Zbl 0771.00031
1
1992
A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026
Goss, David
5
1991
Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006
Goss, David
35
1989
The \(\Gamma\)-function in the arithmetic of function fields. Zbl 0661.12006
Goss, David
10
1988
Analogies between global fields. Zbl 0619.12009
Goss, David
4
1987
The theory of totally real function fields. Zbl 0602.14029
Goss, David
4
1986
Special values of Artin L-series. Zbl 0669.12007
Goss, David; Sinnott, Warren
2
1986
Class-groups of function fields. Zbl 0571.12006
Goss, David; Sinnott, Warren
14
1985
On the holomorphy on certain non-Abelian L-series. Zbl 0575.14019
Goss, David
3
1985
Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003
Goss, David
2
1985
The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010
Goss, David
20
1983
On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010
Goss, David
13
1983
Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013
Goss, David
11
1982
On a Fermat equation arising in the arithmetic theory of functions fields. Zbl 0494.12008
Goss, D.
4
1982
A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta-function. Zbl 0427.30005
Goss, David
4
1981
The algebraist’s upper half-plane. Zbl 0433.14017
Goss, David
49
1980
Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021
Goss, David
45
1980
\(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020
Goss, David
43
1980
\(p\)-adic Eisenstein series for function fields. Zbl 0388.10020
Goss, David
17
1980
The \(\Gamma\)-ideal and special zeta-values. Zbl 0441.12002
Goss, David
9
1980
An addendum to “\(v\)-adic zeta functions, \(L\)-series, and measures for function fields”. Zbl 0402.12007
Goss, David
18
1979
\(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006
Goss, David
9
1979
Von Staudt for \(\mathbb F_q[T]\). Zbl 0404.12013
Goss, David
28
1978
all top 5

Cited by 305 Authors

26 Gekeler, Ernst-Ulrich
22 Goss, David Mark
21 Thakur, Dinesh S.
19 Anglès, Bruno
14 Jeong, Sangtae
14 Pellarin, Federico
13 Hamahata, Yoshinori
13 Papanikolas, Matthew A.
13 Pink, Richard
10 Chang, Chieh-Yu
10 Yu, Jing
9 Ghioca, Dragos
8 Tavares Ribeiro, Floric
7 Breuer, Florian
7 Ngo Dac, Tuan
7 Nguyen Ngoc Dong Quan
7 Perkins, Rudolph Bronson
6 Bandini, Andrea
6 Böckle, Gebhard
6 Demangos, Luca
6 Kontogeorgis, Aristides I.
6 Logachev, Dmitry
5 Adam, David
5 Bamunoba, Alex Samuel
5 Fukasawa, Satoru
5 Gezmiş, Oğuz
5 Grishkov, Alexander Nikolaevich
5 Hartl, Urs T.
5 Kochubeĭ, Anatoliĭ Naumovych
5 Lara Rodríguez, José Alejandro
5 Petrov, Aleksandar
5 Taelman, Lenny
5 Yang, Zifeng
4 Bars Cortina, Francesc
4 Brownawell, W. Dale
4 El-Guindy, Ahmad
4 Hsu, Chih-Nung
4 Kuo, Wentang
4 Lee, Yoonjin
4 Li, Anly
4 Longhi, Ignazio
4 Maurischat, Andreas
4 Rosen, Michael I.
4 Yin, Linsheng
3 Abhyankar, Shreeram Shankar
3 Chen, Imin
3 Cornelissen, Gunther
3 Diaz-Vargas, Javier
3 Gendron, T. M.
3 Harada, Ryotaro
3 Hayes, David Ryan
3 Kim, Minsoo
3 López, Bartolomé
3 Mishiba, Yoshinori
3 Poonen, Bjorn
3 Sinnott, Warren M.
3 Valentino, Maria
3 Vincent, Christelle
3 Wan, Daqing
3 Yao, Wei-Chen
2 Anderson, Greg W.
2 Bassa, Alp
2 Basson, Dirk
2 Beelen, Pieter Hendrik Turdus
2 Bosser, Vincent
2 Chen, Chienhua
2 Chen, Yen-Tsung
2 Cojocaru, Alina Carmen
2 Conrad, Keith
2 Coscelli, Edoardo
2 Damamme, Gilles
2 Demeslay, Florent
2 Deolalikar, Vinay
2 Ehbauer, Stefan
2 Galovich, Steven
2 Gardeyn, Francis
2 Green, Nathan
2 Hasegawa, Takehiro
2 Hattori, Shin
2 Hellegouarch, Yves
2 Hiranouchi, Toshiro
2 Hu, Su
2 Ichimura, Humio
2 Jang, Youngho
2 Komatsu, Takao
2 Kuan, Yen-Liang
2 Le, Huy Hung
2 Li, Chunlan
2 Li, Wen-Ch’ing Winnie
2 Masser, David William
2 Nan, Ting-Ting
2 Nicole, Marc-Hubert
2 Okada, Shôzô
2 Papikian, Mihran
2 Reversat, Marc
2 Rosso, Giovanni
2 Rück, Hans-Georg
2 Rütsche, Egon
2 Sánchez-Mirafuentes, Marco Antonio
2 Scanlon, Thomas J.
...and 205 more Authors
all top 5

Cited in 82 Serials

176 Journal of Number Theory
22 Journal de Théorie des Nombres de Bordeaux
21 Finite Fields and their Applications
17 Transactions of the American Mathematical Society
16 Inventiones Mathematicae
15 Journal of Algebra
13 Proceedings of the American Mathematical Society
11 Mathematische Annalen
10 Mathematische Zeitschrift
10 International Journal of Number Theory
7 Compositio Mathematica
7 Journal of Pure and Applied Algebra
6 Archiv der Mathematik
6 Duke Mathematical Journal
6 Manuscripta Mathematica
5 Advances in Mathematics
5 Monatshefte für Mathematik
4 Communications in Algebra
4 Israel Journal of Mathematics
4 Rocky Mountain Journal of Mathematics
4 Functiones et Approximatio. Commentarii Mathematici
4 Journal of the American Mathematical Society
4 The Ramanujan Journal
4 Journal of Algebra and its Applications
4 Research in the Mathematical Sciences
3 Acta Arithmetica
3 Annales de l’Institut Fourier
3 Journal für die Reine und Angewandte Mathematik
3 Journal of Soviet Mathematics
3 Mathematische Nachrichten
3 Proceedings of the Japan Academy. Series A
3 Bulletin of the American Mathematical Society. New Series
3 Experimental Mathematics
3 Documenta Mathematica
3 Annals of Mathematics. Second Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Journal of Combinatorial Theory. Series A
2 Mathematika
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Seminario Matematico della Università di Padova
2 Journal of the Australian Mathematical Society
2 Journal of Noncommutative Geometry
2 Research in Number Theory
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica Vietnamica
1 Canadian Mathematical Bulletin
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Nagoya Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Ricerche di Matematica
1 Advances in Applied Mathematics
1 Physica D
1 Journal of Symbolic Computation
1 \(K\)-Theory
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 Elemente der Mathematik
1 L’Enseignement Mathématique. 2e Série
1 Linear Algebra and its Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Geometry
1 Turkish Journal of Mathematics
1 Selecta Mathematica. New Series
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Journal of the European Mathematical Society (JEMS)
1 Algebra & Number Theory
1 Advances in High Energy Physics
1 Actes des Rencontres du C.I.R.M.
1 AIMS Mathematics

Citations by Year

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