Edit Profile (opens in new tab) Goss, David Mark (b. 1952 d. 2017) Co-Author Distance 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: 190 Reviews Biographic References: 2 Publications Co-Authors: 11 Co-Authors with 7 Joint Publications 138 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 45 Publications have been cited 867 times in 517 Documents Cited by ▼ Year ▼ Basic structures of function field arithmetic. Zbl 0874.11004Goss, David 304 1996 Handbook of finite fields. Zbl 1319.11001 178 2013 Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021Goss, David 56 1998 Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021Goss, David 52 1980 \(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020Goss, David 50 1980 The algebraist’s upper half-plane. Zbl 0433.14017Goss, David 50 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 30 1978 \(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028Goss, David 24 1992 An addendum to “\(v\)-adic zeta functions, \(L\)-series, and measures for function fields”. Zbl 0402.12007Goss, David 23 1979 The arithmetic of function fields. II: The ’cyclotomic’ theory. Zbl 0516.12010Goss, David 21 1983 \(p\)-adic Eisenstein series for function fields. Zbl 0388.10020Goss, David 16 1980 Class-groups of function fields. Zbl 0571.12006Goss, David; Sinnott, Warren 15 1985 On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010Goss, David 15 1983 A Riemann Hypothesis for characteristic \(p\) \(L\)-functions. Zbl 1032.11036Goss, David 12 2000 Kummer and Herbrand criterion in the theory of function fields. Zbl 0473.12013Goss, David 12 1982 The \(\Gamma\)-function in the arithmetic of function fields. Zbl 0661.12006Goss, David 11 1988 Drinfeld modules: Cohomology and special functions. Zbl 0827.11035Goss, David 11 1994 A construction of \(\mathfrak{v}\)-adic modular forms. Zbl 1326.11020Goss, David 10 2014 On the \(L\)-series of F. Pellarin. Zbl 1281.11045Goss, David 10 2013 \(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006Goss, David 10 1979 Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves. Zbl 1080.11044Goss, David 10 2005 Analogies between global fields. Zbl 0619.12009Goss, David 9 1987 The \(\Gamma\)-ideal and special zeta-values. Zbl 0441.12002Goss, David 9 1980 Zeta phenomenology. Zbl 1270.11094Goss, David 6 2011 Some integrals attached to modular forms in the theory of function fields. Zbl 0805.11047Goss, David 6 1992 The impact of the infinite primes on the Riemann hypothesis for characteristic \(p\) valued \(L\)-series. Zbl 1117.11306Goss, David 6 2003 A formal Mellin transform in the arithmetic of function fields. Zbl 0746.11026Goss, David 5 1991 A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta-function. Zbl 0427.30005Goss, David 5 1981 The theory of totally real function fields. Zbl 0602.14029Goss, David 4 1986 The adjoint of the Carlitz module and Fermat’s Last Theorem. Zbl 0906.11030Goss, David 4 1995 \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zbl 1441.14003 4 2020 On a Fermat equation arising in the arithmetic theory of functions fields. Zbl 0494.12008Goss, D. 4 1982 Can a Drinfeld module be modular? Zbl 1062.11034Goss, David 4 2002 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 A short introduction to rigid analytic spaces. Zbl 0794.14007Goss, David 3 1992 Zeroes of \(L\)-series in characteristic \(p\). Zbl 1178.11048Goss, David 3 2007 The arithmetic of function fields. Proceedings of the workshop at the Ohio State University, June 17-26, 1991, Columbus, Ohio (USA). Zbl 0771.00031 2 1992 \(L\)-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 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 Polynomials of binomial type and Lucas’ theorem. Zbl 1347.11049Goss, David 1 2016 \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zbl 1441.14003 4 2020 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 10 2014 Handbook of finite fields. Zbl 1319.11001 178 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 6 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 12 2000 Basic structures of function field arithmetic. 2nd correct. printing. Zbl 0892.11021Goss, David 56 1998 Basic structures of function field arithmetic. Zbl 0874.11004Goss, David 304 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 11 1994 \(L\)-series of \(t\)-motives and Drinfeld modules. Zbl 0806.11028Goss, David 24 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 The arithmetic of function fields. Proceedings of the workshop at the Ohio State University, June 17-26, 1991, Columbus, Ohio (USA). Zbl 0771.00031 2 1992 \(L\)-series of Grössencharakters of type \(A_0\) for function fields. Zbl 0941.11504Goss, David 2 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 11 1988 Analogies between global fields. Zbl 0619.12009Goss, David 9 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 15 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 21 1983 On a new type of \(L\)-function for algebraic curves over finite fields. Zbl 0571.14010Goss, David 15 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 5 1981 Modular forms for \(\mathbb F_r[T]\). Zbl 0422.10021Goss, David 52 1980 \(\pi\)-adic Eisenstein series for function fields. Zbl 0422.10020Goss, David 50 1980 The algebraist’s upper half-plane. Zbl 0433.14017Goss, David 50 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 23 1979 \(v\)-adic zeta functions, \(L\)-series and measures for function fields. Zbl 0402.12006Goss, David 10 1979 Von Staudt for \(\mathbb F_q[T]\). Zbl 0404.12013Goss, David 30 1978 all cited Publications top 5 cited Publications all top 5 Cited by 319 Authors 27 Gekeler, Ernst-Ulrich 22 Goss, David Mark 22 Thakur, Dinesh S. 19 Anglès, Bruno 15 Pellarin, Federico 14 Hamahata, Yoshinori 14 Jeong, Sangtae 14 Papanikolas, Matthew A. 13 Pink, Richard 11 Chang, Chieh-Yu 10 Ghioca, Dragos 10 Ngo Dac, Tuan 10 Yu, Jing 8 Nguyen Ngoc Dong Quan 8 Tavares Ribeiro, Floric 7 Breuer, Florian 7 Logachev, Dmitry 7 Perkins, Rudolph Bronson 6 Adam, David 6 Bandini, Andrea 6 Böckle, Gebhard 6 Demangos, Luca 6 Grishkov, Alexander Nikolaevich 6 Hartl, Urs T. 6 Kontogeorgis, Aristides I. 6 Lara Rodríguez, José Alejandro 5 Bamunoba, Alex Samuel 5 Fukasawa, Satoru 5 Gezmiş, Oğuz 5 Kochubeĭ, Anatoliĭ Naumovych 5 Kuo, Wentang 5 Petrov, Aleksandar 5 Taelman, Lenny 5 Yang, Zifeng 4 Bars Cortina, Francesc 4 Brownawell, W. Dale 4 Chen, Yen-Tsung 4 Dalal, Tarun 4 El-Guindy, Ahmad 4 Hsu, Chih-Nung 4 Kim, Minsoo 4 Kumar, Narasimha 4 Lee, Yoonjin 4 Li, Anly 4 Longhi, Ignazio 4 Maurischat, Andreas 4 Mishiba, Yoshinori 4 Poonen, Bjorn 4 Rosen, Michael I. 4 Yin, Linsheng 3 Abhyankar, Shreeram Shankar 3 Chen, Imin 3 Cojocaru, Alina Carmen 3 Cornelissen, Gunther 3 Diaz-Vargas, Javier 3 Gendron, T. M. 3 Green, Nathan 3 Harada, Ryotaro 3 Hattori, Shin 3 Hayes, David Ryan 3 Hu, Su 3 López, Bartolomé 3 Shiomi, Daisuke 3 Sinnott, Warren M. 3 Tweedle, David 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 Chung, Kwun 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 Hasegawa, Takehiro 2 Hellegouarch, Yves 2 Hiranouchi, Toshiro 2 Ichimura, Humio 2 Jang, Youngho 2 Komatsu, Takao 2 Krasoń, Piotr 2 Kuan, Yen-Liang 2 Le, Huy Hung 2 Li, Chunlan 2 Li, Wen-Ch’ing Winnie 2 Masser, David William 2 Matsuzuki, Daichi 2 Nan, Ting-Ting 2 Nicole, Marc-Hubert 2 Okada, Shôzô ...and 219 more Authors all top 5 Cited in 93 Serials 181 Journal of Number Theory 22 Journal de Théorie des Nombres de Bordeaux 22 Finite Fields and their Applications 17 Transactions of the American Mathematical Society 16 Inventiones Mathematicae 16 Journal of Algebra 14 Proceedings of the American Mathematical Society 12 International Journal of Number Theory 11 Mathematische Annalen 10 Mathematische Zeitschrift 7 Compositio Mathematica 7 Journal of Pure and Applied Algebra 6 Advances in Mathematics 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Manuscripta Mathematica 5 Monatshefte für Mathematik 4 Communications in Algebra 4 Israel Journal of Mathematics 4 Rocky Mountain Journal of Mathematics 4 Acta Arithmetica 4 Functiones et Approximatio. Commentarii Mathematici 4 Proceedings of the Japan Academy. Series A 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 Annales de l’Institut Fourier 3 Journal für die Reine und Angewandte Mathematik 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 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 3 Research in Number Theory 2 Bulletin of the Australian Mathematical Society 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Journal of Combinatorial Theory. Series A 2 Mathematika 2 Quaestiones Mathematicae 2 Rendiconti del Seminario Matematico della Università di Padova 2 Journal of the Australian Mathematical Society 2 Journal of Noncommutative Geometry 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 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 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 London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 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 Communications of the Korean Mathematical Society 1 Journal of High Energy Physics 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of the Institute of Mathematics of Jussieu 1 Algebra & Number Theory 1 Advances in High Energy Physics 1 Journal of Commutative Algebra 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Actes des Rencontres du C.I.R.M. 1 AIMS Mathematics all top 5 Cited in 34 Fields 481 Number theory (11-XX) 94 Algebraic geometry (14-XX) 31 Field theory and polynomials (12-XX) 19 Commutative algebra (13-XX) 12 Combinatorics (05-XX) 12 Group theory and generalizations (20-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Special functions (33-XX) 8 Functional analysis (46-XX) 7 Functions of a complex variable (30-XX) 6 Mathematical logic and foundations (03-XX) 5 Information and communication theory, circuits (94-XX) 4 Associative rings and algebras (16-XX) 4 Computer science (68-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) 2 Relativity and gravitational theory (83-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 Partial differential equations (35-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 Differential geometry (53-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.