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Hayes, David Ryan

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Author ID: hayes.david-r Recent zbMATH articles by "Hayes, David Ryan"
Published as: Hayes, David R.; Hayes, D. R.; Hayes, David
Homepage: http://www.umass.edu/newsoffice/article/obituary-david-hayes-professor-emeritus-...
External Links: MacTutor · MGP · Wikidata · dblp
Documents Indexed: 41 Publications since 1963, including 2 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 396 times in 312 Documents Cited by Year
Explicit class field theory for rational function fields. Zbl 0292.12018
Hayes, David R.
106
1974
A brief introduction to Drinfeld modules. Zbl 0793.11015
Hayes, David R.
46
1992
Additive number theory of polynomials over a finite field. Zbl 0759.11032
Effinger, Gove W.; Hayes, David R.
37
1991
Stickelberger elements in function fields. Zbl 0569.12008
Hayes, David R.
32
1985
The distribution of irreducibles in \(GF[q,x]\). Zbl 0139.27502
Hayes, D. R.
25
1965
Explicit class field theory in global function fields. Zbl 0476.12010
Hayes, David R.
23
1979
The expression of a polynomial as a sum of three irreducibles. Zbl 0151.03902
Hayes, D. R.
22
1966
The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields. Zbl 0666.12009
Hayes, David R.
15
1988
A geometric approach to permutation polynomials over a finite field. Zbl 0163.05202
Hayes, D. R.
15
1967
Brumer elements over a real quadratic base field. Zbl 0698.12007
Hayes, David R.
9
1990
Analytic class number formulas in function fields. Zbl 0491.12014
Hayes, David R.
9
1981
Rank-one Drinfeld modules on elliptic curves. Zbl 0793.11017
Dummit, D. S.; Hayes, David R.
7
1994
Permutations with coefficients in a subfield. Zbl 0207.05101
Carlitz, Leonard; Hayes, D. R.
7
1972
Checking the \({\mathfrak p}\)-adic Stark conjecture when \({\mathfrak p}\) is archimedean. Zbl 0906.11058
Dummit, David S.; Hayes, David R.
5
1996
A Goldbach theorem for polynomials with integral coefficients. Zbl 0128.04701
Hayes, David R.
5
1965
A complete solution to the polynomial 3-primes problem. Zbl 0724.11065
Effinger, Gove W.; Hayes, David R.
4
1991
Base change for the conjecture of Brumer-Stark. Zbl 0931.11049
Hayes, David R.
4
1998
Stickelberger functions for non-abelian Galois extensions of global fields. Zbl 1076.11057
Hayes, David R.
4
2004
Elliptic units in function fields. Zbl 0499.12012
Hayes, David R.
3
1982
Hecke characters and Eisenstein reciprocity in function fields. Zbl 0774.11028
Hayes, David R.
3
1993
A polynomial analog of the Goldbach conjecture. Zbl 0111.04704
Hayes, David R.
3
1963
Real quadratic function fields. Zbl 0664.12011
Hayes, David R.
2
1987
On the reduction of rank-one Drinfeld modules. Zbl 0732.11029
Hayes, David R.
2
1991
A polynomial generalized Gauss sum. Zbl 0147.03704
Hayes, D. R.
2
1966
Some extensions of Ore’s theorem. Zbl 0578.05044
Schmeichel, Edward; Hayes, David R.
1
1985
The partial zeta functions of a real quadratic number field evaluated at \(s=0\). Zbl 0696.12010
Hayes, David R.
1
1990
Reflective functions on \(p\)-adic fields. Zbl 0514.13013
Hayes, David R.; Nutt, Michael D.
1
1982
Norm and trace of the \(j\)-invariants of Drinfeld modules associated to hyperelliptic curves. Zbl 0872.11031
Chen, Zesen; Hayes, David R.
1
1997
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.)
1
1992
A proof of the Newton-Cotes quadrature formulas with error term. Zbl 0216.48601
Hayes, D. R.; Rubin, L.
1
1970
Stickelberger functions for non-abelian Galois extensions of global fields. Zbl 1076.11057
Hayes, David R.
4
2004
Base change for the conjecture of Brumer-Stark. Zbl 0931.11049
Hayes, David R.
4
1998
Norm and trace of the \(j\)-invariants of Drinfeld modules associated to hyperelliptic curves. Zbl 0872.11031
Chen, Zesen; Hayes, David R.
1
1997
Checking the \({\mathfrak p}\)-adic Stark conjecture when \({\mathfrak p}\) is archimedean. Zbl 0906.11058
Dummit, David S.; Hayes, David R.
5
1996
Rank-one Drinfeld modules on elliptic curves. Zbl 0793.11017
Dummit, D. S.; Hayes, David R.
7
1994
Hecke characters and Eisenstein reciprocity in function fields. Zbl 0774.11028
Hayes, David R.
3
1993
A brief introduction to Drinfeld modules. Zbl 0793.11015
Hayes, David R.
46
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; Hayes, David R.; Rosen, Michael I.
1
1992
Additive number theory of polynomials over a finite field. Zbl 0759.11032
Effinger, Gove W.; Hayes, David R.
37
1991
A complete solution to the polynomial 3-primes problem. Zbl 0724.11065
Effinger, Gove W.; Hayes, David R.
4
1991
On the reduction of rank-one Drinfeld modules. Zbl 0732.11029
Hayes, David R.
2
1991
Brumer elements over a real quadratic base field. Zbl 0698.12007
Hayes, David R.
9
1990
The partial zeta functions of a real quadratic number field evaluated at \(s=0\). Zbl 0696.12010
Hayes, David R.
1
1990
The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields. Zbl 0666.12009
Hayes, David R.
15
1988
Real quadratic function fields. Zbl 0664.12011
Hayes, David R.
2
1987
Stickelberger elements in function fields. Zbl 0569.12008
Hayes, David R.
32
1985
Some extensions of Ore’s theorem. Zbl 0578.05044
Schmeichel, Edward; Hayes, David R.
1
1985
Elliptic units in function fields. Zbl 0499.12012
Hayes, David R.
3
1982
Reflective functions on \(p\)-adic fields. Zbl 0514.13013
Hayes, David R.; Nutt, Michael D.
1
1982
Analytic class number formulas in function fields. Zbl 0491.12014
Hayes, David R.
9
1981
Explicit class field theory in global function fields. Zbl 0476.12010
Hayes, David R.
23
1979
Explicit class field theory for rational function fields. Zbl 0292.12018
Hayes, David R.
106
1974
Permutations with coefficients in a subfield. Zbl 0207.05101
Carlitz, Leonard; Hayes, D. R.
7
1972
A proof of the Newton-Cotes quadrature formulas with error term. Zbl 0216.48601
Hayes, D. R.; Rubin, L.
1
1970
A geometric approach to permutation polynomials over a finite field. Zbl 0163.05202
Hayes, D. R.
15
1967
The expression of a polynomial as a sum of three irreducibles. Zbl 0151.03902
Hayes, D. R.
22
1966
A polynomial generalized Gauss sum. Zbl 0147.03704
Hayes, D. R.
2
1966
The distribution of irreducibles in \(GF[q,x]\). Zbl 0139.27502
Hayes, D. R.
25
1965
A Goldbach theorem for polynomials with integral coefficients. Zbl 0128.04701
Hayes, David R.
5
1965
A polynomial analog of the Goldbach conjecture. Zbl 0111.04704
Hayes, David R.
3
1963
all top 5

Cited by 253 Authors

11 Gekeler, Ernst-Ulrich
10 Yu, Jing
9 Car, Mireille
9 Goss, David
9 Thakur, Dinesh S.
7 Bae, Sunghan
7 Gallardo, Luis Henri
7 Rosen, Michael I.
6 Anglès, Bruno
6 Xing, Chaoping
6 Yin, Linsheng
5 Hayes, David Ryan
5 Hsu, Chih-Nung
5 Nguyen Ngoc Dong Quan
5 Roblot, Xavier-François
5 Villa-Salvador, Gabriel Daniel
4 Denis, Laurent
4 Florea, Alexandra M.
4 Gorodetsky, Ofir
4 Pollack, Paul
4 Tangedal, Brett A.
3 Abhyankar, Shreeram Shankar
3 Ahn, Jaehyun
3 Effinger, Gove W.
3 Galovich, Steven
3 Jung, Hwanyup
3 Kang, Pyung-Lyun
3 Kuo, Wentang
3 Kuz’min, E. N.
3 Longhi, Ignazio
3 Niederreiter, Harald
3 Papanikolas, Matthew A.
3 Rzedowski-Calderón, Martha
3 Shiomi, Daisuke
3 Solomon, David R.
3 Vaserstein, Leonid N.
3 Wan, Daqing
3 Yao, Wei-Chen
3 Yeo, Sze Ling
3 Zhao, Jianqiang
3 Zhao, Zhengjun
3 Zheng, Zhiyong
2 Ashlock, Daniel Abram
2 Bandini, Andrea
2 Bars Cortina, Francesc
2 Bender, Andreas O.
2 Brawley, Joel Vincent jun.
2 Breuer, Florian
2 Brownawell, W. Dale
2 Bui, Hung Manh
2 Burns, David John
2 Chen, Zesen
2 Cohen, Stephen D.
2 David, Chantal
2 Dejou, Gaelle
2 Demangos, Luca
2 Greither, Cornelius
2 Hoelscher, Jing Long
2 Hsia, Liang-Chung
2 Huang, Po-Yi
2 Ichimura, Humio
2 Liu, Yu-Ru
2 Ma, Liming
2 Madan, Manohar L.
2 Madritsch, Manfred G.
2 Micheli, Giacomo
2 Morton, Patrick
2 Okada, Shôzô
2 Oukhaba, Hassan
2 Pál, Ambrus
2 Pellarin, Federico
2 Popescu, Cristian D.
2 Porritt, Sam
2 Sands, Jonathan W.
2 Sinha, Samarendra K.
2 Tan, Ki-Seng
2 von zur Gathen, Joachim
2 Wang, Qiang (Steven)
2 Ward, Kenneth
2 Wei, Fu-Tsun
2 Wu, Xia
2 Zhao, Xiaomei
2 Zywina, David
1 Acosta, Maria T.
1 Adam, David
1 Aiba, Akira
1 Akbary, Amir
1 Alkam, Osama
1 Álvarez Vázquez, Arturo
1 Anderson, Greg W.
1 Aoki, Noboru
1 Bareikis, Gintautas
1 Barreto-Castañeda, Jonny Fernando
1 Batra, Anjula
1 Bhowmick, Abhishek
1 Bilhan, Mehpare
1 Biró, András
1 Bitan, Rony A.
1 Böckle, Gebhard
1 Bodin, Arnaud
...and 153 more Authors
all top 5

Cited in 71 Serials

93 Journal of Number Theory
31 Finite Fields and their Applications
12 Inventiones Mathematicae
11 Transactions of the American Mathematical Society
10 Proceedings of the American Mathematical Society
10 Journal de Théorie des Nombres de Bordeaux
9 Rocky Mountain Journal of Mathematics
8 Compositio Mathematica
7 Journal of Algebra
7 Mathematische Annalen
7 Mathematische Zeitschrift
6 Duke Mathematical Journal
5 Manuscripta Mathematica
4 Bulletin of the Australian Mathematical Society
4 Mathematics of Computation
4 Acta Arithmetica
4 Journal of Pure and Applied Algebra
4 International Journal of Number Theory
3 Archiv der Mathematik
3 Mathematika
2 Israel Journal of Mathematics
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Czechoslovak Mathematical Journal
2 Functiones et Approximatio. Commentarii Mathematici
2 Glasgow Mathematical Journal
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Siberian Mathematical Journal
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Portugaliae Mathematica. Nova Série
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Noncommutative Geometry
2 Journal of Mathematics
1 Periodica Mathematica Hungarica
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Algebra and Logic
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Journal of Combinatorial Theory. Series A
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Proceedings of the Japan Academy. Series A
1 Tokyo Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Physica D
1 Graphs and Combinatorics
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Acta Mathematica Sinica. New Series
1 Chinese Science Bulletin
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Complexity
1 Selecta Mathematica. New Series
1 The Ramanujan Journal
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of the Australian Mathematical Society
1 Journal of Mathematical Inequalities
1 Annales Mathématiques du Québec
1 Research in the Mathematical Sciences

Citations by Year

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