Edit Profile (opens in new tab) Goss, David Mark Compute Distance To: Compute Author ID: goss.david 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 126 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 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 1 Ohio State University Mathematical Research Institute Publications 1 Advanced Courses in Mathematics – CRM Barcelona 1 Discrete Mathematics and its Applications 1 EMS Series of Congress Reports all top 5 Fields 50 Number theory (11-XX) 19 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-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) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 929 times in 474 Documents Cited by ▼ Year ▼ Basic structures of function field arithmetic. Zbl 0874.11004Goss, David 277 1996 Handbook of finite fields. Zbl 1319.11001 150 2013 Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021Goss, David 52 1998 The algebraist’s upper half-plane. Zbl 0433.14017Goss, David 48 1980 Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021Goss, David 44 1980 \(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020Goss, David 41 1980 Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006Goss, David 35 1989 Von Staudt for \(\mathbb F_q[T]\). Zbl 0404.12013Goss, David 28 1978 \(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028Goss, David 22 1992 The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010Goss, David 20 1983 An addendum to “\(v\)-adic zeta functions, \(L\)-series, and measures for function fields”. Zbl 0402.12007Goss, David 17 1979 \(p\)-adic Eisenstein series for function fields. Zbl 0388.10020Goss, David 16 1980 Class-groups of function fields. Zbl 0571.12006Goss, David; Sinnott, Warren 14 1985 On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010Goss, David 12 1983 A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036Goss, David 11 2000 Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013Goss, David 11 1982 On the \(L\)-series of F. Pellarin. Zbl 1281.11045Goss, David 10 2013 The \(\Gamma\)-function in the arithmetic of function fields. Zbl 0661.12006Goss, David 10 1988 Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves. Zbl 1080.11044Goss, David 10 2005 \(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006Goss, David 9 1979 The \(\Gamma\)-ideal and special zeta-values. Zbl 0441.12002Goss, David 9 1980 Drinfeld modules: Cohomology and special functions. Zbl 0827.11035Goss, David 9 1994 A construction of \(\mathfrak{v}\)-adic modular forms. Zbl 1326.11020Goss, David 7 2014 Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047Goss, David 6 1992 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 theory of totally real function fields. Zbl 0602.14029Goss, David 4 1986 The impact of the infinite primes on the Riemann hypothesis for characteristic \(p\) valued \(L\)-series. Zbl 1117.11306Goss, David 4 2003 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 adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030Goss, David 4 1995 Can a Drinfeld module be modular? Zbl 1062.11034Goss, David 4 2002 Analogies between global fields. Zbl 0619.12009Goss, David 3 1987 Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030Goss, David 3 1992 A short introduction to rigid analytic spaces. Zbl 0794.14007Goss, 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 3 2007 \(L\)-series of Grössencharakters of type \(A_0\) for function fields. Zbl 0941.11504Goss, David 2 1992 Units and class-groups in the arithmetic theory of function fields. Zbl 0573.12003Goss, David 2 1985 Special values of Artin L-series. Zbl 0669.12007Goss, David; Sinnott, Warren 2 1986 Digit permutations revisited. Zbl 1432.11126Goss, David 2 2017 Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049Goss, David 1 2016 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 The digit principle and derivates of certain \(L\)-series. Zbl 1468.11183Goss, David; Anglès, Bruno; Ngo Dac, Tuan; Pellarin, Federico; Tavares Ribeiro, Floric 1 2019 The digit principle and derivates of certain \(L\)-series. Zbl 1468.11183Goss, David; Anglès, Bruno; Ngo Dac, Tuan; Pellarin, Federico; Tavares Ribeiro, Floric 1 2019 Digit permutations revisited. Zbl 1432.11126Goss, David 2 2017 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 7 2014 Handbook of finite fields. Zbl 1319.11001 150 2013 On the \(L\)-series of F. Pellarin. Zbl 1281.11045Goss, David 10 2013 Zeta phenomenology. Zbl 1270.11094Goss, David 6 2011 Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048Goss, David 3 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 4 2002 A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036Goss, David 11 2000 Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021Goss, David 52 1998 Basic structures of function field arithmetic. Zbl 0874.11004Goss, David 277 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 22 1992 Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047Goss, David 6 1992 Harmonic analysis and the flow of a Drinfeld module. Zbl 0758.11030Goss, David 3 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 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 0746.11026Goss, 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 3 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 11 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 48 1980 Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021Goss, David 44 1980 \(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020Goss, David 41 1980 \(p\)-adic Eisenstein series for function fields. Zbl 0388.10020Goss, David 16 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 17 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 28 1978 all cited Publications top 5 cited Publications all top 5 Cited by 294 Authors 25 Gekeler, Ernst-Ulrich 22 Goss, David Mark 21 Thakur, Dinesh S. 18 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 7 Breuer, Florian 7 Nguyen Ngoc Dong Quan 7 Perkins, Rudolph Bronson 7 Tavares Ribeiro, Floric 6 Böckle, Gebhard 6 Demangos, Luca 6 Ngo Dac, Tuan 5 Adam, David 5 Bamunoba, Alex Samuel 5 Bandini, Andrea 5 Fukasawa, Satoru 5 Gezmiş, Oğuz 5 Hartl, Urs T. 5 Kochubeĭ, Anatoliĭ Naumovych 5 Kontogeorgis, Aristides I. 5 Lara Rodríguez, José Alejandro 5 Logachev, Dmitry 5 Petrov, Aleksandar 5 Taelman, Lenny 5 Yang, Zifeng 4 Bars Cortina, Francesc 4 El-Guindy, Ahmad 4 Grishkov, Alexander Nikolaevich 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 Brownawell, W. Dale 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 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 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 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. 2 Shiomi, Daisuke 2 Sinha, Samarendra K. 2 Taguchi, Yuichiro ...and 194 more Authors all top 5 Cited in 81 Serials 174 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 15 Inventiones Mathematicae 15 Journal of Algebra 13 Proceedings of the American Mathematical Society 11 Mathematische Annalen 10 International Journal of Number Theory 9 Mathematische Zeitschrift 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 Israel Journal of Mathematics 4 Rocky Mountain Journal of Mathematics 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of the American Mathematical Society 4 Research in the Mathematical Sciences 3 Communications in Algebra 3 Acta Arithmetica 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 Documenta Mathematica 3 The Ramanujan Journal 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Algebra and its Applications 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales de l’Institut Fourier 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 Experimental Mathematics 2 Annals of Mathematics. Second Series 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 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 all top 5 Cited in 32 Fields 442 Number theory (11-XX) 85 Algebraic geometry (14-XX) 28 Field theory and polynomials (12-XX) 15 Commutative algebra (13-XX) 11 Combinatorics (05-XX) 11 Group theory and generalizations (20-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 6 Mathematical logic and foundations (03-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 4 Associative rings and algebras (16-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-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 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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