# zbMATH — the first resource for mathematics

## Goss, David

Compute Distance To:
 Author ID: 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
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#### Co-Authors

 44 single-authored 2 Sinnott, Warren M. 1 Anglès, Bruno 1 Böckle, Gebhard 1 Hartl, Urs T. 1 Hayes, David Ryan 1 Ngo Dac, Tuan 1 Papanikolas, Matthew A. 1 Pellarin, Federico 1 Roquette, Peter 1 Rosen, Michael I. 1 Tavares Ribeiro, Floric
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#### Serials

 7 Journal of Number Theory 5 Duke Mathematical Journal 3 Mathematische Annalen 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Journal of Algebra 2 Proceedings of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 $$K$$-Theory 1 Journal of the Ramanujan Mathematical Society 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 International Journal of Applied Mathematics and Statistics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
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#### Fields

 48 Number theory (11-XX) 17 Algebraic geometry (14-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX)

#### 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
1996
Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021
Goss, David
1998
The algebraist’s upper half-plane. Zbl 0433.14017
Goss, David
1980
Modular forms for $$\mathbb F_r[T]$$. Zbl 0422.10021
Goss, David
1980
Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006
Goss, David
1989
$$\pi$$-adic Eisenstein series for function fields. Zbl 0422.10020
Goss, David
1980
Von Staudt for $$\mathbb F_q[T]$$. Zbl 0404.12013
Goss, David
1978
$$L$$-series of $$t$$-motives and Drinfeld modules. Zbl 0806.11028
Goss, David
1992
The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010
Goss, David
1983
$$p$$-adic Eisenstein series for function fields. Zbl 0388.10020
Goss, David
1980
Class-groups of function fields. Zbl 0571.12006
Goss, David; Sinnott, Warren
1985
An addendum to “$$v$$-adic zeta functions, $$L$$-series, and measures for function fields”. Zbl 0402.12007
Goss, David
1979
On a new type of $$L$$-function for algebraic curves over finite fields. Zbl 0571.14010
Goss, David
1983
Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013
Goss, David
1982
Applications of non-Archimedean integration to the $$L$$-series of $$\tau$$-sheaves. Zbl 1080.11044
Goss, David
2005
A Riemann Hypothesis for characteristic $$p$$ $$L$$-functions. Zbl 1032.11036
Goss, David
2000
The $$\Gamma$$-function in the arithmetic of function fields. Zbl 0661.12006
Goss, David
1988
On the $$L$$-series of F. Pellarin. Zbl 1281.11045
Goss, David
2013
Drinfeld modules: Cohomology and special functions. Zbl 0827.11035
Goss, David
1994
The $$\Gamma$$-ideal and special zeta-values. Zbl 0441.12002
Goss, David
1980
$$v$$-adic zeta functions, $$L$$-series and measures for function fields. Zbl 0402.12006
Goss, David
1979
Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047
Goss, David
1992
Analogies between global fields. Zbl 0619.12009
Goss, David
1987
Zeta phenomenology. Zbl 1270.11094
Goss, David
2011
A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026
Goss, David
1991
The impact of the infinite primes on the Riemann hypothesis for characteristic $$p$$ valued $$L$$-series. Zbl 1117.11306
Goss, David
2003
The adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030
Goss, David
1995
The theory of totally real function fields. Zbl 0602.14029
Goss, David
1986
On a Fermat equation arising in the arithmetic theory of functions fields. Zbl 0494.12008
Goss, D.
1982
A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta-function. Zbl 0427.30005
Goss, David
1981
A construction of $$\mathfrak{v}$$-adic modular forms. Zbl 1326.11020
Goss, David
2014
A short introduction to rigid analytic spaces. Zbl 0794.14007
Goss, David
1992
$$L$$-series of Grössencharakters of type $$A_0$$ for function fields. Zbl 0941.11504
Goss, David
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.)
1992
Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030
Goss, David
1992
On the holomorphy on certain non-Abelian L-series. Zbl 0575.14019
Goss, David
1985
Zeroes of $$L$$-series in characteristic $$p$$. Zbl 1178.11048
Goss, David
2007
Can a Drinfeld module be modular? Zbl 1062.11034
Goss, David
2002
Special values of Artin L-series. Zbl 0669.12007
Goss, David; Sinnott, Warren
1986
Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003
Goss, David
1985
Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049
Goss, David
2016
Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049
Goss, David
2016
A construction of $$\mathfrak{v}$$-adic modular forms. Zbl 1326.11020
Goss, David
2014
On the $$L$$-series of F. Pellarin. Zbl 1281.11045
Goss, David
2013
Zeta phenomenology. Zbl 1270.11094
Goss, David
2011
Zeroes of $$L$$-series in characteristic $$p$$. Zbl 1178.11048
Goss, David
2007
Applications of non-Archimedean integration to the $$L$$-series of $$\tau$$-sheaves. Zbl 1080.11044
Goss, David
2005
The impact of the infinite primes on the Riemann hypothesis for characteristic $$p$$ valued $$L$$-series. Zbl 1117.11306
Goss, David
2003
Can a Drinfeld module be modular? Zbl 1062.11034
Goss, David
2002
A Riemann Hypothesis for characteristic $$p$$ $$L$$-functions. Zbl 1032.11036
Goss, David
2000
Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021
Goss, David
1998
Basic structures of function field arithmetic. Zbl 0874.11004
Goss, David
1996
The adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030
Goss, David
1995
Drinfeld modules: Cohomology and special functions. Zbl 0827.11035
Goss, David
1994
$$L$$-series of $$t$$-motives and Drinfeld modules. Zbl 0806.11028
Goss, David
1992
Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047
Goss, David
1992
A short introduction to rigid analytic spaces. Zbl 0794.14007
Goss, David
1992
$$L$$-series of Grössencharakters of type $$A_0$$ for function fields. Zbl 0941.11504
Goss, David
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.)
1992
Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030
Goss, David
1992
A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026
Goss, David
1991
Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006
Goss, David
1989
The $$\Gamma$$-function in the arithmetic of function fields. Zbl 0661.12006
Goss, David
1988
Analogies between global fields. Zbl 0619.12009
Goss, David
1987
The theory of totally real function fields. Zbl 0602.14029
Goss, David
1986
Special values of Artin L-series. Zbl 0669.12007
Goss, David; Sinnott, Warren
1986
Class-groups of function fields. Zbl 0571.12006
Goss, David; Sinnott, Warren
1985
On the holomorphy on certain non-Abelian L-series. Zbl 0575.14019
Goss, David
1985
Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003
Goss, David
1985
The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010
Goss, David
1983
On a new type of $$L$$-function for algebraic curves over finite fields. Zbl 0571.14010
Goss, David
1983
Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013
Goss, David
1982
On a Fermat equation arising in the arithmetic theory of functions fields. Zbl 0494.12008
Goss, D.
1982
A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta-function. Zbl 0427.30005
Goss, David
1981
The algebraist’s upper half-plane. Zbl 0433.14017
Goss, David
1980
Modular forms for $$\mathbb F_r[T]$$. Zbl 0422.10021
Goss, David
1980
$$\pi$$-adic Eisenstein series for function fields. Zbl 0422.10020
Goss, David
1980
$$p$$-adic Eisenstein series for function fields. Zbl 0388.10020
Goss, David
1980
The $$\Gamma$$-ideal and special zeta-values. Zbl 0441.12002
Goss, David
1980
An addendum to “$$v$$-adic zeta functions, $$L$$-series, and measures for function fields”. Zbl 0402.12007
Goss, David
1979
$$v$$-adic zeta functions, $$L$$-series and measures for function fields. Zbl 0402.12006
Goss, David
1979
Von Staudt for $$\mathbb F_q[T]$$. Zbl 0404.12013
Goss, David
1978
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#### 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
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#### 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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#### Cited in 31 Fields

 394 Number theory (11-XX) 81 Algebraic geometry (14-XX) 27 Field theory and polynomials (12-XX) 15 Commutative algebra (13-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Combinatorics (05-XX) 9 Group theory and generalizations (20-XX) 8 Functional analysis (46-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 5 Mathematical logic and foundations (03-XX) 4 Associative rings and algebras (16-XX) 4 Computer science (68-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

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