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## Wagner, Carl G.

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 Author ID: wagner.carl-g Published as: Wagner, Carl G.; Wagner, Carl; Wagner, C. G.; Wagner, C. Homepage: https://www.math.utk.edu/~wagner/ External Links: MGP · dblp
 Documents Indexed: 59 Publications since 1971, including 1 Book
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#### Co-Authors

 31 single-authored 9 Shattuck, Mark A. 3 Sundberg, Carl-Erik W. 2 Aczél, János Dezső 2 Gonzalez, Rafael C. 2 Hearne, Thomas M. 2 Long, John J. jun. 2 Mulay, Shashikant B. 1 Bustince, Humberto 1 Davis, Reid 1 Fernandez Torres, Jose 1 Garibaldi, Jonathan M. 1 Genest, Christian 1 Lehrer, Keith 1 Marco-Detchart, Cedric 1 Ng, Che Tat 1 Takáč, Zdenko 1 Tonn, Bruce
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#### Serials

 6 Discrete Mathematics 6 Archiv der Mathematik 5 Theory and Decision 4 Journal of Integer Sequences 3 Aequationes Mathematicae 3 Erkenntnis 2 Duke Mathematical Journal 2 Journal of Philosophical Logic 2 Notre Dame Journal of Formal Logic 2 Synthese 2 Advances in Applied Mathematics 2 SIAM Journal on Algebraic and Discrete Methods 2 IEEE Transactions on Systems, Man, and Cybernetics 2 The Electronic Journal of Combinatorics 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Journal of Fluid Mechanics 1 Acta Arithmetica 1 The British Journal for the Philosophy of Science 1 Fuzzy Sets and Systems 1 Journal für die Reine und Angewandte Mathematik 1 Studia Logica 1 Studies in Applied Mathematics 1 Mathematical Social Sciences 1 Journal of Theoretical Probability 1 PU.M.A. Pure Mathematics and Applications 1 Logic Journal of the IGPL 1 Pure and Applied Undergraduate Texts
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#### Fields

 19 Combinatorics (05-XX) 15 Number theory (11-XX) 12 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 10 Mathematical logic and foundations (03-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 249 times in 173 Documents Cited by Year
Generalized Stirling and Lah numbers. Zbl 0860.05007
Wagner, Carl G.
1996
Interpolation series for continuous functions on $$\pi$$-adic completions of $$\text{GF}(q,x)$$. Zbl 0223.12009
Wagner, Carl G.
1971
Linear operators in local fields of prime characteristic. Zbl 0226.12105
Wagner, Carl G.
1971
Allocation, Lehrer models, and the consensus of probabilities. Zbl 0485.60002
Wagner, Carl
1982
Anscombe’s paradox and the rule of three-fourths. Zbl 0513.90006
Wagner, Carl
1983
Further evidence against independence preservation in expert judgement synthesis. Zbl 0619.62011
Genest, Christian; Wagner, Carl G.
1987
Aggregation theorems for allocation problems. Zbl 0538.05006
Aczél, János; Ng, C. T.; Wagner, C.
1984
Aggregating subjective probabilities: Some limitative theorems. Zbl 0544.62010
Wagner, Carl
1984
Probability amalgamation and the independence issue: A reply to Laddaga. Zbl 0519.60004
Lehrer, Keith; Wagner, Carl
1983
Avoiding Anscombe’s paradox. Zbl 0539.90004
Wagner, Carl
1984
Generalized finite differences and Bayesian conditioning of Choquet capacities. Zbl 0757.60001
Sundberg, Carl; Wagner, Carl
1992
Modus tollens probabilized. Zbl 1062.03015
Wagner, Carl G.
2004
Partition statistics and $$q$$-Bell numbers $$(q=-1)$$. Zbl 1064.05023
Wagner, Carl G.
2004
Minimal covers of finite sets. Zbl 0262.05007
Hearne, T.; Wagner, C.
1973
A characterization of weighted arithmetic means. Zbl 0498.26010
Aczél, János; Wagner, C.
1980
Consensus for belief functions and related uncertainty measures. Zbl 0674.90002
Wagner, Carl G.
1989
Differentiability in local fields of prime characteristic. Zbl 0289.12107
Wagner, Carl G.
1974
Polynomials over GF(q,x) with integral-valued differences. Zbl 0341.12008
Wagner, Carl G.
1976
Enumeration of generalized weak orders. Zbl 0476.06003
Wagner, Carl G.
1982
A functional equation arising in multi-agent statistical decision theory. Zbl 0619.39010
Sundberg, Carl; Wagner, Carl
1987
Jeffrey conditioning and external Bayesianity. Zbl 1196.03039
Wagner, Carl
2010
Parity theorems for statistics on domino arrangements. Zbl 1074.05010
Shattuck, Mark A.; Wagner, Carl G.
2005
A new statistic on linear and circular $$r$$-mino arrangements. Zbl 1165.11306
Shattuck, Mark A.; Wagner, Carl G.
2006
Interpolation series in local fields of prime characteristic. Zbl 0237.12104
Wagner, Carl G.
1972
The Smith-Walley interpretation of subjective probability: an appreciation. Zbl 1124.03311
Wagner, Carl G.
2007
Covering algebras and $$q$$-binomial generating functions. Zbl 0797.05005
Davis, Reid; Wagner, Carl
1994
Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders. Zbl 1452.03108
Bustince, H.; Marco-Detchart, C.; Fernandez, J.; Wagner, C.; Garibaldi, J. M.; Takáč, Z.
2020
Reorientation of a single red blood cell during sedimentation. Zbl 1383.76566
Matsunaga, D.; Imai, Y.; Wagner, C.; Ishikawa, T.
2016
Characterizations of monotone and 2-monotone capacities. Zbl 0746.60003
Sundberg, Carl; Wagner, Carl
1992
Linear pseudo-polynomials over $$GF[q,x]$$. Zbl 0302.12013
Wagner, Carl G.
1974
Minimal multiplicative covers of an integer. Zbl 0412.05007
Wagner, Carl G.
1978
Surjections, differences, and binomial lattices. Zbl 0812.05001
Wagner, Carl G.
1994
Commuting probability revisions: The uniformity rule. Zbl 1049.60002
Wagner, Carl G.
2003
Is conditioning really incompatible with holism? Zbl 1315.03010
Wagner, Carl
2013
Parity theorems for statistics on lattice paths and Laguerre configurations. Zbl 1104.05010
Shattuck, Mark A.; Wagner, Carl G.
2005
On the factorization of some polynomial analogues of binomial coefficients. Zbl 0259.12014
Wagner, Carl G.
1973
Some generalized Fibonacci polynomials. Zbl 1146.11009
Shattuck, Mark A.; Wagner, Carl G.
2007
Peer disagreement and independence preservation. Zbl 1217.03018
Wagner, Carl G.
2011
The Carlitz lattice path polynomials. Zbl 0969.05003
Wagner, Carl G.
2000
On the distribution of the number of optimal elements for various generalized weak orders. Zbl 0649.06002
Long, John J. jun.; Wagner, Carl
1989
Random variables related to a class of ordered structures. Zbl 0701.60007
Long, John J. jun.; Wagner, Carl
1990
Moments of the interclass Mahalanobis distance. Zbl 0547.62041
Gonzalez, R. C.; Wagner, C. G.
1983
Semi-invariants of the interclass Mahalanobis distance. Zbl 0558.62050
Gonzalez, R. C.; Wagner, C. G.
1984
Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders. Zbl 1452.03108
Bustince, H.; Marco-Detchart, C.; Fernandez, J.; Wagner, C.; Garibaldi, J. M.; Takáč, Z.
2020
Reorientation of a single red blood cell during sedimentation. Zbl 1383.76566
Matsunaga, D.; Imai, Y.; Wagner, C.; Ishikawa, T.
2016
Is conditioning really incompatible with holism? Zbl 1315.03010
Wagner, Carl
2013
Peer disagreement and independence preservation. Zbl 1217.03018
Wagner, Carl G.
2011
Jeffrey conditioning and external Bayesianity. Zbl 1196.03039
Wagner, Carl
2010
The Smith-Walley interpretation of subjective probability: an appreciation. Zbl 1124.03311
Wagner, Carl G.
2007
Some generalized Fibonacci polynomials. Zbl 1146.11009
Shattuck, Mark A.; Wagner, Carl G.
2007
A new statistic on linear and circular $$r$$-mino arrangements. Zbl 1165.11306
Shattuck, Mark A.; Wagner, Carl G.
2006
Parity theorems for statistics on domino arrangements. Zbl 1074.05010
Shattuck, Mark A.; Wagner, Carl G.
2005
Parity theorems for statistics on lattice paths and Laguerre configurations. Zbl 1104.05010
Shattuck, Mark A.; Wagner, Carl G.
2005
Modus tollens probabilized. Zbl 1062.03015
Wagner, Carl G.
2004
Partition statistics and $$q$$-Bell numbers $$(q=-1)$$. Zbl 1064.05023
Wagner, Carl G.
2004
Commuting probability revisions: The uniformity rule. Zbl 1049.60002
Wagner, Carl G.
2003
The Carlitz lattice path polynomials. Zbl 0969.05003
Wagner, Carl G.
2000
Generalized Stirling and Lah numbers. Zbl 0860.05007
Wagner, Carl G.
1996
Covering algebras and $$q$$-binomial generating functions. Zbl 0797.05005
Davis, Reid; Wagner, Carl
1994
Surjections, differences, and binomial lattices. Zbl 0812.05001
Wagner, Carl G.
1994
Generalized finite differences and Bayesian conditioning of Choquet capacities. Zbl 0757.60001
Sundberg, Carl; Wagner, Carl
1992
Characterizations of monotone and 2-monotone capacities. Zbl 0746.60003
Sundberg, Carl; Wagner, Carl
1992
Random variables related to a class of ordered structures. Zbl 0701.60007
Long, John J. jun.; Wagner, Carl
1990
Consensus for belief functions and related uncertainty measures. Zbl 0674.90002
Wagner, Carl G.
1989
On the distribution of the number of optimal elements for various generalized weak orders. Zbl 0649.06002
Long, John J. jun.; Wagner, Carl
1989
Further evidence against independence preservation in expert judgement synthesis. Zbl 0619.62011
Genest, Christian; Wagner, Carl G.
1987
A functional equation arising in multi-agent statistical decision theory. Zbl 0619.39010
Sundberg, Carl; Wagner, Carl
1987
Aggregation theorems for allocation problems. Zbl 0538.05006
Aczél, János; Ng, C. T.; Wagner, C.
1984
Aggregating subjective probabilities: Some limitative theorems. Zbl 0544.62010
Wagner, Carl
1984
Avoiding Anscombe’s paradox. Zbl 0539.90004
Wagner, Carl
1984
Semi-invariants of the interclass Mahalanobis distance. Zbl 0558.62050
Gonzalez, R. C.; Wagner, C. G.
1984
Anscombe’s paradox and the rule of three-fourths. Zbl 0513.90006
Wagner, Carl
1983
Probability amalgamation and the independence issue: A reply to Laddaga. Zbl 0519.60004
Lehrer, Keith; Wagner, Carl
1983
Moments of the interclass Mahalanobis distance. Zbl 0547.62041
Gonzalez, R. C.; Wagner, C. G.
1983
Allocation, Lehrer models, and the consensus of probabilities. Zbl 0485.60002
Wagner, Carl
1982
Enumeration of generalized weak orders. Zbl 0476.06003
Wagner, Carl G.
1982
A characterization of weighted arithmetic means. Zbl 0498.26010
Aczél, János; Wagner, C.
1980
Minimal multiplicative covers of an integer. Zbl 0412.05007
Wagner, Carl G.
1978
Polynomials over GF(q,x) with integral-valued differences. Zbl 0341.12008
Wagner, Carl G.
1976
Differentiability in local fields of prime characteristic. Zbl 0289.12107
Wagner, Carl G.
1974
Linear pseudo-polynomials over $$GF[q,x]$$. Zbl 0302.12013
Wagner, Carl G.
1974
Minimal covers of finite sets. Zbl 0262.05007
Hearne, T.; Wagner, C.
1973
On the factorization of some polynomial analogues of binomial coefficients. Zbl 0259.12014
Wagner, Carl G.
1973
Interpolation series in local fields of prime characteristic. Zbl 0237.12104
Wagner, Carl G.
1972
Interpolation series for continuous functions on $$\pi$$-adic completions of $$\text{GF}(q,x)$$. Zbl 0223.12009
Wagner, Carl G.
1971
Linear operators in local fields of prime characteristic. Zbl 0226.12105
Wagner, Carl G.
1971
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#### Cited by 187 Authors

 18 Wagner, Carl G. 13 Shattuck, Mark A. 9 Mansour, Toufik 8 Jeong, Sangtae 6 Laffond, Gilbert 6 Lainé, Jean 5 Yang, Zifeng 4 Goss, David 3 Adam, David 3 Chabert, Jean-Luc 3 Dietrich, Franz K. 3 El-hady, El-sayed 3 Genest, Christian 3 Kleiter, Gernot D. 3 Kochubeĭ, Anatoliĭ Naumovych 3 Petturiti, Davide 3 Vantaggi, Barbara 2 Aczél, János Dezső 2 Bronevich, Andrey G. 2 Cahen, Paul-Jean 2 Cakić, Nenad P. 2 Coletti, Giulianella 2 Coskun, Hasan 2 Denneberg, Dieter 2 El-Desouky, Beih S. 2 Frisch, Sophie 2 Guo, Victor J. W. 2 Jang, Youngho 2 Li, Chunlan 2 List, Christian 2 Long, John J. jun. 2 Mulay, Shashikant B. 2 Ng, Che Tat 2 Perkins, Rudolph Bronson 2 Quintana, Ignacio Ojea 2 Sahoo, Prasanna K. 2 Schork, Matthias 2 Stewart, Rush T. 2 van Acker, P. 2 Wallmann, Christian 2 Zeng, Jiang 1 Adamčík, Martin 1 Akman, Füsun 1 Aleixo, A. N. F. 1 Baker, John A. 1 Balantekin, A. Baha 1 Barbé, André M. 1 Barbero G, J. Fernando 1 Basir, Otman A. 1 Benedetto, Canio 1 Bezembinder, Thom G. G. 1 Bhargava, Manjul 1 Bickel, Thomas 1 Billot, Antoine-Bertrand 1 Bonnay, Denis 1 Bordley, Robert F. 1 Boričić, Marija 1 Bowman, Clark 1 Bradley, Richard 1 Brössel, Peter 1 Burger, Alewyn Petrus 1 Butzer, Paul Leo 1 Campbell, Donald E. 1 Can, Mahir Bilen 1 Castelo, Robert 1 Chang, Huilan 1 Chen, Joanna N. 1 Cheon, Gi-Sang 1 Cherniavsky, Yonah 1 Clarke, Robert J. 1 Comunian, Alessandro 1 Conrad, Keith 1 Corsato, Chiara 1 Cozic, Mikaël 1 Cozman, Fabio G. 1 de Cooman, Gert 1 De Smedt, Stany 1 Deb, Rajat K. 1 di Ianni, Lucas Fargoni 1 Dodd, Jordan 1 Dou, Xiaoling 1 Douven, Igor 1 Dubois, Didier 1 Ebanks, Bruce R. 1 Eder, Anna-Maria A. 1 Erné, Marcel 1 Etminani, Kobra 1 Eu, Sen-Peng 1 Fares, Youssef 1 Faria, Álvaro E. jun. 1 Ferroni, Luis 1 Fodor, János C. 1 French, Simon 1 Fu, Shishuo 1 Gajdos, Thibault 1 Głazek, Kazimierz 1 Goyt, Adam M. 1 Grabisch, Michel 1 Hermans, Filip 1 Hodge, Jonathan K. ...and 87 more Authors
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#### Cited in 69 Serials

 15 Journal of Number Theory 13 Theory and Decision 10 Discrete Mathematics 8 Aequationes Mathematicae 7 International Journal of Approximate Reasoning 6 Advances in Applied Mathematics 6 Social Choice and Welfare 4 Journal of Mathematical Analysis and Applications 4 Synthese 4 European Journal of Combinatorics 4 Finite Fields and their Applications 4 Journal of Difference Equations and Applications 3 Archiv der Mathematik 3 Fuzzy Sets and Systems 3 Information Sciences 3 Journal of Algebra 3 Journal of Philosophical Logic 3 Mathematical Social Sciences 3 The Ramanujan Journal 2 Journal of Combinatorial Theory. Series A 2 Journal of Statistical Planning and Inference 2 Kybernetika 2 Proceedings of the American Mathematical Society 2 Annals of Operations Research 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Integer Sequences 2 Erkenntnis 2 Entropy 1 Artificial Intelligence 1 The Canadian Journal of Statistics 1 Discrete Applied Mathematics 1 Journal of Mathematical Physics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 The Annals of Statistics 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Psychology 1 The Journal of Mathematical Sociology 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Studia Logica 1 Studies in Applied Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Order 1 $$K$$-Theory 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Journal of Robotic Systems 1 Economics Letters 1 Games and Economic Behavior 1 Journal of the Royal Statistical Society. Series B 1 Archive for Mathematical Logic 1 Indagationes Mathematicae. New Series 1 Journal of the Egyptian Mathematical Society 1 The Electronic Journal of Combinatorics 1 Top 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Online Journal of Analytic Combinatorics 1 Mathematical Geosciences 1 Ars Mathematica Contemporanea 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Sankhyā. Series A 1 Afrika Matematika 1 Mathematics and Mechanics of Complex Systems
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#### Cited in 36 Fields

 53 Number theory (11-XX) 50 Combinatorics (05-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Statistics (62-XX) 15 Computer science (68-XX) 13 Mathematical logic and foundations (03-XX) 12 Probability theory and stochastic processes (60-XX) 11 Difference and functional equations (39-XX) 9 Commutative algebra (13-XX) 7 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Field theory and polynomials (12-XX) 5 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)