Edit Profile Goss, David Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 41 Publications have been cited 714 times in 425 Documents Cited by ▼ Year ▼ Basic structures of function field arithmetic. Zbl 0874.11004Goss, David 238 1996 Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021Goss, David 50 1998 The algebraist’s upper half-plane. Zbl 0433.14017Goss, David 45 1980 Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021Goss, David 39 1980 Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006Goss, David 35 1989 \(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020Goss, David 34 1980 Von Staudt for \(\mathbb F_q[T]\). Zbl 0404.12013Goss, David 25 1978 \(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028Goss, David 20 1992 The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010Goss, David 20 1983 \(p\)-adic Eisenstein series for function fields. Zbl 0388.10020Goss, David 17 1980 Class-groups of function fields. Zbl 0571.12006Goss, David; Sinnott, Warren 14 1985 An addendum to “\(v\)-adic zeta functions, \(L\)-series, and measures for function fields”. Zbl 0402.12007Goss, David 14 1979 On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010Goss, David 12 1983 Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013Goss, David 12 1982 Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves. Zbl 1080.11044Goss, David 10 2005 A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036Goss, David 10 2000 The \(\Gamma\)-function in the arithmetic of function fields. Zbl 0661.12006Goss, David 10 1988 On the \(L\)-series of F. Pellarin. Zbl 1281.11045Goss, David 9 2013 Drinfeld modules: Cohomology and special functions. Zbl 0827.11035Goss, David 9 1994 The \(\Gamma\)-ideal and special zeta-values. Zbl 0441.12002Goss, David 9 1980 \(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006Goss, David 9 1979 Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047Goss, David 8 1992 Analogies between global fields. Zbl 0619.12009Goss, David 7 1987 Zeta phenomenology. Zbl 1270.11094Goss, David 6 2011 A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026Goss, David 5 1991 The impact of the infinite primes on the Riemann hypothesis for characteristic \(p\) valued \(L\)-series. Zbl 1117.11306Goss, David 4 2003 The adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030Goss, David 4 1995 The theory of totally real function fields. Zbl 0602.14029Goss, David 4 1986 On a Fermat equation arising in the arithmetic theory of functions fields. Zbl 0494.12008Goss, D. 4 1982 A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta-function. Zbl 0427.30005Goss, David 4 1981 A construction of \(\mathfrak{v}\)-adic modular forms. Zbl 1326.11020Goss, David 3 2014 A short introduction to rigid analytic spaces. Zbl 0794.14007Goss, David 3 1992 \(L\)-series of Grössencharakters of type \(A_0\) for function fields. Zbl 0941.11504Goss, 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 0771.00031Goss, David (ed.); Hayes, David R. (ed.); Rosen, Michael I. (ed.) 3 1992 Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030Goss, David 3 1992 On the holomorphy on certain non-Abelian L-series. Zbl 0575.14019Goss, David 3 1985 Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048Goss, David 2 2007 Can a Drinfeld module be modular? Zbl 1062.11034Goss, David 2 2002 Special values of Artin L-series. Zbl 0669.12007Goss, David; Sinnott, Warren 2 1986 Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003Goss, David 2 1985 Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049Goss, David 1 2016 Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049Goss, David 1 2016 A construction of \(\mathfrak{v}\)-adic modular forms. Zbl 1326.11020Goss, David 3 2014 On the \(L\)-series of F. Pellarin. Zbl 1281.11045Goss, David 9 2013 Zeta phenomenology. Zbl 1270.11094Goss, David 6 2011 Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048Goss, David 2 2007 Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves. Zbl 1080.11044Goss, David 10 2005 The impact of the infinite primes on the Riemann hypothesis for characteristic \(p\) valued \(L\)-series. Zbl 1117.11306Goss, David 4 2003 Can a Drinfeld module be modular? Zbl 1062.11034Goss, David 2 2002 A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036Goss, David 10 2000 Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021Goss, David 50 1998 Basic structures of function field arithmetic. Zbl 0874.11004Goss, David 238 1996 The adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030Goss, David 4 1995 Drinfeld modules: Cohomology and special functions. Zbl 0827.11035Goss, David 9 1994 \(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028Goss, David 20 1992 Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047Goss, David 8 1992 A short introduction to rigid analytic spaces. Zbl 0794.14007Goss, David 3 1992 \(L\)-series of Grössencharakters of type \(A_0\) for function fields. Zbl 0941.11504Goss, 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 0771.00031Goss, David (ed.); Hayes, David R. (ed.); Rosen, Michael I. (ed.) 3 1992 Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030Goss, David 3 1992 A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026Goss, David 5 1991 Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006Goss, David 35 1989 The \(\Gamma\)-function in the arithmetic of function fields. Zbl 0661.12006Goss, David 10 1988 Analogies between global fields. Zbl 0619.12009Goss, David 7 1987 The theory of totally real function fields. Zbl 0602.14029Goss, David 4 1986 Special values of Artin L-series. Zbl 0669.12007Goss, David; Sinnott, Warren 2 1986 Class-groups of function fields. Zbl 0571.12006Goss, David; Sinnott, Warren 14 1985 On the holomorphy on certain non-Abelian L-series. Zbl 0575.14019Goss, David 3 1985 Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003Goss, David 2 1985 The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010Goss, David 20 1983 On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010Goss, David 12 1983 Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013Goss, David 12 1982 On a Fermat equation arising in the arithmetic theory of functions fields. Zbl 0494.12008Goss, D. 4 1982 A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta-function. Zbl 0427.30005Goss, David 4 1981 The algebraist’s upper half-plane. Zbl 0433.14017Goss, David 45 1980 Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021Goss, David 39 1980 \(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020Goss, David 34 1980 \(p\)-adic Eisenstein series for function fields. Zbl 0388.10020Goss, David 17 1980 The \(\Gamma\)-ideal and special zeta-values. Zbl 0441.12002Goss, David 9 1980 An addendum to “\(v\)-adic zeta functions, \(L\)-series, and measures for function fields”. Zbl 0402.12007Goss, David 14 1979 \(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006Goss, David 9 1979 Von Staudt for \(\mathbb F_q[T]\). Zbl 0404.12013Goss, David 25 1978 all cited Publications top 5 cited Publications 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. all top 5 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) Citations by Year Wikidata Timeline