Edit Profile (opens in new tab) Lewin, Leonard Co-Author Distance Author ID: lewin.leonard Published as: Lewin, L.; Lewin, Leonard Documents Indexed: 20 Publications since 1949, including 2 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 7 Co-Authors with 8 Joint Publications 155 Co-Co-Authors all top 5 Co-Authors 10 single-authored 5 Abouzahra, M. D. 2 Zagier, Don Bernard 1 Bloch, Spencer J. 1 Browkin, Jerzy 1 Cohen, Henri 1 Hain, Richard M. 1 Hongnian, Xiao 1 Kellerhals, Ruth 1 Loxton, John H. 1 MacPherson, Robert Duncan 1 Miller, Jeffrey Charles Percy 1 Ouahsine, Abdellatif 1 Ray, Gary Alan 1 Sah, H. 1 Souli, Mahmed 1 Vagners, Juris 1 Wechsung, Gerd 1 Wojtkowiak, Zdzisław all top 5 Serials 6 Aequationes Mathematicae 2 Journal of Number Theory 2 SIAM Journal on Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 The Mathematical Gazette 1 Celestial Mechanics 1 Journal of the Australian Mathematical Society. Series A 1 Experimental Mathematics 1 Journal of Applied Physics 1 Nature, London 1 Mathematical Surveys and Monographs all top 5 Fields 13 Special functions (33-XX) 8 Number theory (11-XX) 6 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 634 times in 551 Documents Cited by ▼ Year ▼ Polylogarithms and associated functions. Zbl 0465.33001 Lewin, Leonard 390 1981 Dilogarithms and associated functions. Foreword by J. C. P. Miller. Zbl 0083.35904 Lewin, L. 90 1958 Structural properties of polylogarithms. Zbl 0745.33009 57 1991 ALE formulation for fluid-structure interaction problems. Zbl 1012.76051 Souli, M.; Ouahsine, A.; Lewin, L. 37 2000 The dilogarithm in algebraic fields. Zbl 0507.33010 Lewin, L. 11 1982 The inner structure of the dilogarithm in algebraic fields. Zbl 0556.12001 Lewin, L. 9 1984 On the evaluation of log-sine integrals. Zbl 0081.05202 Lewin, L. 8 1958 The polylogarithm in algebraic number fields. Zbl 0577.12001 Abouzahra, M.; Lewin, L. 7 1985 The order-independence of the polylogarithmic ladder structure implications for a new category of functional equations. Zbl 0606.39005 Lewin, L. 6 1986 A sixteenth-order polylogarithm ladder. Zbl 0763.11049 Cohen, Henri; Lewin, Leonard; Zagier, Don 5 1992 On the problem of sustained resonance. Zbl 0391.34019 Lewin, L.; Kevorkian, J. 4 1978 An asymptotic solution to a problem involving two simultaneous small divisors. Zbl 0357.70026 Lewin, L.; Vagners, J. 3 1976 Polylogarithmic functional equations: A new category of results developed with the help of computer algebra (MACSYMA). Zbl 0606.39006 Lewin, L.; Rost, E. 2 1986 The solution of singular integral equations over a multiple interval and applications to multiple diaphragms in rectangular waveguide. Zbl 0169.14301 Lewin, L. 2 1968 Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders. Zbl 0642.33021 Abouzahra, M.; Lewin, L.; Hongnian, Xiao 1 1987 The polylogarithm in the field of two irreducible quintics. Zbl 0619.12001 Abouzahra, M.; Lewin, L. 1 1986 Supernumary polylogarithmic ladders and related functional equations. Zbl 0729.33015 Lewin, L.; Abouzahra, M. 1 1990 ALE formulation for fluid-structure interaction problems. Zbl 1012.76051 Souli, M.; Ouahsine, A.; Lewin, L. 37 2000 A sixteenth-order polylogarithm ladder. Zbl 0763.11049 Cohen, Henri; Lewin, Leonard; Zagier, Don 5 1992 Structural properties of polylogarithms. Zbl 0745.33009 57 1991 Supernumary polylogarithmic ladders and related functional equations. Zbl 0729.33015 Lewin, L.; Abouzahra, M. 1 1990 Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders. Zbl 0642.33021 Abouzahra, M.; Lewin, L.; Hongnian, Xiao 1 1987 The order-independence of the polylogarithmic ladder structure implications for a new category of functional equations. Zbl 0606.39005 Lewin, L. 6 1986 Polylogarithmic functional equations: A new category of results developed with the help of computer algebra (MACSYMA). Zbl 0606.39006 Lewin, L.; Rost, E. 2 1986 The polylogarithm in the field of two irreducible quintics. Zbl 0619.12001 Abouzahra, M.; Lewin, L. 1 1986 The polylogarithm in algebraic number fields. Zbl 0577.12001 Abouzahra, M.; Lewin, L. 7 1985 The inner structure of the dilogarithm in algebraic fields. Zbl 0556.12001 Lewin, L. 9 1984 The dilogarithm in algebraic fields. Zbl 0507.33010 Lewin, L. 11 1982 Polylogarithms and associated functions. Zbl 0465.33001 Lewin, Leonard 390 1981 On the problem of sustained resonance. Zbl 0391.34019 Lewin, L.; Kevorkian, J. 4 1978 An asymptotic solution to a problem involving two simultaneous small divisors. Zbl 0357.70026 Lewin, L.; Vagners, J. 3 1976 The solution of singular integral equations over a multiple interval and applications to multiple diaphragms in rectangular waveguide. Zbl 0169.14301 Lewin, L. 2 1968 Dilogarithms and associated functions. Foreword by J. C. P. Miller. Zbl 0083.35904 Lewin, L. 90 1958 On the evaluation of log-sine integrals. Zbl 0081.05202 Lewin, L. 8 1958 all cited Publications top 5 cited Publications all top 5 Cited by 738 Authors 22 Blümlein, Johannes 18 Borwein, Jonathan Michael 16 Sofo, Anthony 11 Schneider, Carsten 10 Bailey, David Harold 9 Ablinger, Jakob 9 De Freitas, Abilio 9 Schönwald, Kay 8 Choi, Junesang 8 Kalmykov, Mikhail Yu. 8 Lewin, Leonard 8 Srivastava, Hari Mohan 7 Cvijović, Djurdje 6 Batir, Necdet 6 Coffey, Mark William 6 Stewart, Seán Mark 6 Straub, Armin 5 Crandall, Richard E. 5 Kellerhals, Ruth 5 Smirnov, Vladimir A. 5 Wojtkowiak, Zdzisław 4 Abouzahra, M. D. 4 Fring, Andreas 4 Glasser, M. Lawrence 4 Kim, Taekyun 4 Kniehl, Bernd A. 4 Kölbig, Kurt Siegfried 4 Pearce, Paul A. 4 Raab, Clemens G. 4 Tarasov, Vasily E. 4 Veretin, Oleg L. 4 Zagier, Don Bernard 3 Behring, Arnd 3 Bradley, David M. 3 Bridgeman, Martin J. 3 Broadhurst, David John 3 Butzer, Paul Leo 3 Chamayou, Jean-Marie-Francois 3 Duhr, Claude 3 Ecevit, Fatih 3 Flajolet, Philippe 3 Fucci, Guglielmo 3 Gangl, Herbert 3 He, Tao 3 Hoang Ngoc Minh, Vincel 3 Kanemitsu, Shigeru 3 Kedem, Rinat 3 Kim, Dae San 3 Klümper, Andreas 3 Labelle, Gilbert 3 Laforest, Louise 3 Lima, Fábio M. S. 3 Moch, Sven-Olaf 3 Nakanishi, Tomoki 3 Rivoal, Tanguy 3 Springborn, Boris Andre 3 Tan, Ser Peow 3 Valluri, Sree Ram 3 Yıldırım, Cem Yalçın 3 Zhang, Lixiang 2 Adamchik, Victor S. 2 Adegoke, Kunle 2 Amdeberhan, Tewodros 2 Backhouse, Nigel B. 2 Barletti, Luigi 2 Bern, Zvi 2 Bobenko, Alexander Ivanovich 2 Bogachev, Leonid V. 2 Boyadzhiev, Khristo N. 2 Boysal, Arzu 2 Bytev, Vladimir V. 2 Bytsko, Andrei G. 2 Campbell, John Maxwell 2 Čeplak, Nejc 2 Charlton, Steven 2 Davydychev, Andrei I. 2 de Doelder, Pieter J. 2 Del Pin, Facundo 2 Deng, Weihua 2 Dixon, Lance J. 2 Dupont, Johan L. 2 Ecalle, Jean P. 2 Finkel, Federico 2 Fischler, Stéphane 2 Gawlik, Evan S. 2 Gehrlein, William V. 2 Gil, Manuel 2 González-López, Artemio 2 Guo, Yakun 2 Hata, Masayoshi 2 Hikami, Kazuhiro 2 Hughes, Marcel R. R. 2 Idelsohn, Sergio Rodolfo 2 Jang, Lee-Chae 2 Jeffrey, David J. 2 Jha, Sumit Kumar 2 Kapahi, Anil 2 Kim, Hyekyung 2 Kirillov, Anatol N. 2 Klinowski, Jacek ...and 638 more Authors all top 5 Cited in 210 Serials 44 Nuclear Physics. B 17 Journal of Computational and Applied Mathematics 16 Journal of Mathematical Physics 14 Journal of High Energy Physics 13 Physics Letters. B 13 Mathematics of Computation 13 Journal of Number Theory 12 Computer Physics Communications 12 The Ramanujan Journal 9 Journal of Mathematical Analysis and Applications 8 Computer Methods in Applied Mechanics and Engineering 8 Applied Mathematics and Computation 7 Communications in Mathematical Physics 7 Journal of Statistical Physics 7 Aequationes Mathematicae 6 Journal of Computational Physics 6 Nagoya Mathematical Journal 6 Proceedings of the American Mathematical Society 6 Integral Transforms and Special Functions 6 International Journal of Number Theory 5 Transactions of the American Mathematical Society 5 Journal of Statistical Mechanics: Theory and Experiment 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Classical Analysis 4 Mathematische Annalen 4 Theoretical Computer Science 4 Applied Mathematics Letters 4 Journal of Knot Theory and its Ramifications 4 Geometry & Topology 4 Advances in Difference Equations 4 Applicable Analysis and Discrete Mathematics 3 Analysis Mathematica 3 Computers & Mathematics with Applications 3 Discrete Mathematics 3 Physica A 3 Theoretical and Mathematical Physics 3 Journal of Geometry and Physics 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Journal of Approximation Theory 3 Journal of Soviet Mathematics 3 Studies in Applied Mathematics 3 Journal of the American Mathematical Society 3 Experimental Mathematics 3 Journal of Mathematical Sciences (New York) 3 Kyushu Journal of Mathematics 3 Filomat 3 Journal of Integer Sequences 3 Scientia. Series A: Mathematical Sciences. New Series 2 Modern Physics Letters A 2 American Mathematical Monthly 2 Computers and Fluids 2 International Journal of Theoretical Physics 2 Mathematical Biosciences 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Wave Motion 2 The Mathematical Intelligencer 2 Advances in Mathematics 2 Bulletin de la Société Mathématique de France 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Journal of Economic Theory 2 Mathematics and Computers in Simulation 2 Mathematica Slovaca 2 Numerische Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Advances in Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics and Mechanics. (English Edition) 2 Physica D 2 Applied Numerical Mathematics 2 Journal of Symbolic Computation 2 \(K\)-Theory 2 Forum Mathematicum 2 Annals of Physics 2 Celestial Mechanics 2 Communications in Statistics. Simulation and Computation 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Celestial Mechanics and Dynamical Astronomy 2 Indagationes Mathematicae. New Series 2 Tatra Mountains Mathematical Publications 2 Russian Journal of Mathematical Physics 2 Engineering Analysis with Boundary Elements 2 Lobachevskii Journal of Mathematics 2 Integers 2 International Journal of Computational Methods 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 Journal of Physics A: Mathematical and Theoretical 2 Communications in Computational Physics 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Fluid Dynamics 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics ...and 110 more Serials all top 5 Cited in 54 Fields 198 Number theory (11-XX) 186 Special functions (33-XX) 112 Quantum theory (81-XX) 60 Numerical analysis (65-XX) 41 Statistical mechanics, structure of matter (82-XX) 39 Fluid mechanics (76-XX) 30 Mechanics of deformable solids (74-XX) 28 Combinatorics (05-XX) 27 Functions of a complex variable (30-XX) 25 Probability theory and stochastic processes (60-XX) 21 Approximations and expansions (41-XX) 20 Sequences, series, summability (40-XX) 19 Algebraic geometry (14-XX) 19 Computer science (68-XX) 17 Real functions (26-XX) 17 Ordinary differential equations (34-XX) 17 Partial differential equations (35-XX) 14 Manifolds and cell complexes (57-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Statistics (62-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Geometry (51-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Difference and functional equations (39-XX) 10 Functional analysis (46-XX) 10 Relativity and gravitational theory (83-XX) 9 \(K\)-theory (19-XX) 9 Differential geometry (53-XX) 9 Mechanics of particles and systems (70-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Commutative algebra (13-XX) 6 Nonassociative rings and algebras (17-XX) 6 Integral transforms, operational calculus (44-XX) 6 Convex and discrete geometry (52-XX) 6 Biology and other natural sciences (92-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Abstract harmonic analysis (43-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year