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Goss, David

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Author ID: goss.david Recent zbMATH articles by "Goss, David"
Published as: Goss, D.; Goss, David
Homepage: https://people.math.osu.edu/goss.3/
External Links: MGP · Wikidata · ResearchGate · GND
Documents Indexed: 50 Publications since 1978, including 4 Books
Reviewing Activity: 189 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

41 Publications have been cited 714 times in 425 Documents Cited by Year
Basic structures of function field arithmetic. Zbl 0874.11004
Goss, David
238
1996
Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021
Goss, David
50
1998
The algebraist’s upper half-plane. Zbl 0433.14017
Goss, David
45
1980
Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021
Goss, David
39
1980
Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006
Goss, David
35
1989
\(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020
Goss, David
34
1980
Von Staudt for \(\mathbb F_q[T]\). Zbl 0404.12013
Goss, David
25
1978
\(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028
Goss, David
20
1992
The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010
Goss, David
20
1983
\(p\)-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
An addendum to “\(v\)-adic zeta functions, \(L\)-series, and measures for function fields”. Zbl 0402.12007
Goss, David
14
1979
On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010
Goss, David
12
1983
Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013
Goss, David
12
1982
Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves. Zbl 1080.11044
Goss, David
10
2005
A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036
Goss, David
10
2000
The \(\Gamma\)-function in the arithmetic of function fields. Zbl 0661.12006
Goss, David
10
1988
On the \(L\)-series of F. Pellarin. Zbl 1281.11045
Goss, David
9
2013
Drinfeld modules: Cohomology and special functions. Zbl 0827.11035
Goss, David
9
1994
The \(\Gamma\)-ideal and special zeta-values. Zbl 0441.12002
Goss, David
9
1980
\(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006
Goss, David
9
1979
Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047
Goss, David
8
1992
Analogies between global fields. Zbl 0619.12009
Goss, David
7
1987
Zeta phenomenology. Zbl 1270.11094
Goss, David
6
2011
A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026
Goss, David
5
1991
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
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
A construction of \(\mathfrak{v}\)-adic modular forms. Zbl 1326.11020
Goss, David
3
2014
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
3
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
Goss, David (ed.); Hayes, David R. (ed.); Rosen, Michael I. (ed.)
3
1992
Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030
Goss, David
3
1992
On the holomorphy on certain non-Abelian L-series. Zbl 0575.14019
Goss, David
3
1985
Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048
Goss, David
2
2007
Can a Drinfeld module be modular? Zbl 1062.11034
Goss, David
2
2002
Special values of Artin L-series. Zbl 0669.12007
Goss, David; Sinnott, Warren
2
1986
Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003
Goss, David
2
1985
Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049
Goss, David
1
2016
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
3
2014
On the \(L\)-series of F. Pellarin. Zbl 1281.11045
Goss, David
9
2013
Zeta phenomenology. Zbl 1270.11094
Goss, David
6
2011
Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048
Goss, David
2
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
2
2002
A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036
Goss, David
10
2000
Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021
Goss, David
50
1998
Basic structures of function field arithmetic. Zbl 0874.11004
Goss, David
238
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
20
1992
Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047
Goss, David
8
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
3
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
Goss, David (ed.); Hayes, David R. (ed.); Rosen, Michael I. (ed.)
3
1992
Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030
Goss, David
3
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
7
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
12
1983
Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013
Goss, David
12
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
45
1980
Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021
Goss, David
39
1980
\(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020
Goss, David
34
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
14
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
25
1978
all top 5

Cited by 269 Authors

22 Gekeler, Ernst-Ulrich
22 Goss, David
20 Thakur, Dinesh S.
18 Anglès, Bruno
13 Hamahata, Yoshinori
13 Jeong, Sangtae
12 Papanikolas, Matthew A.
12 Pellarin, Federico
11 Pink, Richard
10 Yu, Jing
9 Chang, Chieh-Yu
8 Ghioca, Dragos
7 Breuer, Florian
6 Adam, David
6 Böckle, Gebhard
6 Perkins, Rudolph Bronson
6 Tavares Ribeiro, Floric
5 Bamunoba, Alex Samuel
5 Fukasawa, Satoru
5 Kochubeĭ, Anatoliĭ Naumovych
5 Kontogeorgis, Aristides I.
5 Nguyen Ngoc Dong Quan
5 Petrov, Aleksandar
5 Taelman, Lenny
5 Yang, Zifeng
4 Demangos, Luca
4 El-Guindy, Ahmad
4 Hartl, Urs T.
4 Hsu, Chih-Nung
4 Kuo, Wentang
4 Lara Rodríguez, José Alejandro
4 Lee, Yoonjin
4 Li, Anly
4 Longhi, Ignazio
4 Ngo Dac, Tuan
4 Rosen, Michael I.
4 Wan, Daqing
4 Yin, Linsheng
3 Abhyankar, Shreeram Shankar
3 Bandini, Andrea
3 Bars, Francesc
3 Brownawell, W. Dale
3 Chen, Imin
3 Cornelissen, Gunther
3 Diaz-Vargas, Javier
3 Hayes, David Ryan
3 Logachev, Dmitry
3 López, Bartolomé
3 Poonen, Bjorn
3 Sinnott, Warren M.
3 Taguchi, Yuichiro
3 Vincent, Christelle
3 Yao, Jiayan
3 Yao, Wei-Chen
2 Anderson, Greg W.
2 Bassa, Alp
2 Basson, Dirk
2 Beelen, Pieter Hendrik Turdus
2 Bosser, Vincent
2 Conrad, Keith
2 Damamme, Gilles
2 Deolalikar, Vinay
2 Galovich, Steven
2 Gardeyn, Francis
2 Gezmiş, Oğuz
2 Grishkov, Alexander Nikolaevich
2 Hellegouarch, Yves
2 Hiranouchi, Toshiro
2 Ichimura, Humio
2 Jang, Youngho
2 Kim, Minsoo
2 Kuan, Yen-Liang
2 Li, Chunlan
2 Li, Wen-Ch’ing Winnie
2 Maurischat, Andreas
2 Mishiba, Yoshinori
2 Mohamed-Ahmed, Mohamed-Saadbouh
2 Nan, Ting-Ting
2 Nguyen, Dong Quan Ngoc
2 Okada, Shôzô
2 Reversat, Marc
2 Rück, Hans-Georg
2 Rütsche, Egon
2 Sánchez-Mirafuentes, Marco Antonio
2 Scanlon, Thomas J.
2 Shiomi, Daisuke
2 Sinha, Samarendra K.
2 Teitelbaum, Jeremy T.
2 Traulsen, Matthias
2 Tweedle, David
2 van der Heiden, Gert-Jan
2 Varela Roldán, Enrico
2 Villa-Salvador, Gabriel Daniel
2 Ward, Jacob Kenneth
2 Zhao, Jianqiang
2 Zhao, Zhengjun
2 Zywina, David
1 Akbary, Amir
1 Albert, Maximilian
1 Anbar, Nurdagül
...and 169 more Authors
all top 5

Cited in 75 Serials

157 Journal of Number Theory
21 Finite Fields and their Applications
19 Journal de Théorie des Nombres de Bordeaux
16 Journal of Algebra
14 Inventiones Mathematicae
14 Transactions of the American Mathematical Society
12 Proceedings of the American Mathematical Society
11 Mathematische Annalen
7 Compositio Mathematica
7 Journal of Pure and Applied Algebra
7 International Journal of Number Theory
6 Archiv der Mathematik
6 Duke Mathematical Journal
6 Manuscripta Mathematica
6 Mathematische Zeitschrift
5 Monatshefte für Mathematik
4 Israel Journal of Mathematics
4 Rocky Mountain Journal of Mathematics
4 Advances in Mathematics
4 Journal of the American Mathematical Society
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Research in the Mathematical Sciences
3 Communications in Algebra
3 Functiones et Approximatio. Commentarii Mathematici
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
2 Acta Arithmetica
2 Annales de l’Institut Fourier
2 Journal of Combinatorial Theory. Series A
2 Journal für die Reine und Angewandte Mathematik
2 Mathematika
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Seminario Matematico della Università di Padova
2 Experimental Mathematics
2 The Ramanujan Journal
2 Annals of Mathematics. Second Series
2 Journal of the Australian Mathematical Society
2 Journal of Algebra and its Applications
2 Journal of Noncommutative Geometry
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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
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 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 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Turkish Journal of Mathematics
1 Documenta Mathematica
1 Annals of Combinatorics
1 Journal of the European Mathematical Society (JEMS)
1 Algebra & Number Theory
1 Advances in High Energy Physics
1 Research in Number Theory
1 Actes des Rencontres du C.I.R.M.

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