Proceedings of the London Mathematical Society. Second Series Short Title: Proc. Lond. Math. Soc. (2) Publisher: London Mathematical Society, London; Oxford University Press, Oxford ISSN: 0024-6115; 1460-244X/e Online: http://plms.oxfordjournals.org/ Predecessor: Proceedings of the London Mathematical Society Successor: Proceedings of the London Mathematical Society. Third Series Comments: No longer indexed Documents Indexed: 2,150 Publications (1903–1952) all top 5 Latest Issues 54 (1951/1952) 53 (1951) 52 (1950/1951) 51 (1949/1950) 50 (1948/1949) 49 (1945-1947) 48 (1943-1945) 47 (1940-1942) 46 (1939/1940) 45 (1938/1939) 44 (1938) 43 (1937) 42 (1936/1937) 41 (1936) 40 (1935/1936) 39 (1935) 38 (1934/1935) 37 (1934) 36 (1933/1934) 35 (1933) 34 (1932) 33 (1931/1932) 32 (1930/1931) 31 (1930) 30 (1929/1930) 29 (1928/1929) 28 (1928) 27 (1927/1928) 26 (1926/1927) 25 (1926) 24 (1925/1926) 23 (1924/1925) 22 (1923/1924) 21 (1922/1923) 20 (1921/1922) 19 (1920) 18 (1919) 17 (1918/1919) 16 (1917/1918) 15 (1915-1917) 14 (1914/1915) 13 (1913/1914) 12 (1913) 11 (1912/1913) 10 (1911/1912) 9 (1910/1911) 8 (1909/1910) 7 (1909) 6 (1908/1909) 5 (1907) 4 (1906) 3 (1905) 2 (1904/1905) 1 (1903/1904) all top 5 Authors 92 Hardy, Godfrey Harold 74 Young, William Henry 52 Littlewood, John Edensor 36 Titchmarsh, Edward Charles 34 Verblunsky, Samuel 32 Milne, William Proctor 31 Watson, George Neville 29 Hobson, Ernest William 27 Todd, John Arthur 26 Burnside, William 25 Roth, Leonard 24 Littlewood, Dudley Ernest 23 Hill, M. J. M. 21 Bosanquet, Lancelot Stephen 21 Dixon, Alfred Cardew 21 Turnbull, Herbert Westren 21 Young, Alfred 20 Bailey, Wilfrid Norman 20 Chaundy, Theodore William 19 Bromwich, Thomas John I’Anson 18 Proudman, Joseph 17 Estermann, Theodor 16 Cartwright, Mary Lucy 16 Edge, William Leonard 15 Baker, Henry Frederick 15 Bateman, Harry 15 MacMahon, Percy Alexander 15 Offord, Albert Cyril 15 Simpson, Harold 15 Wilson, Rowland 14 Berwick, William Edward Hodgson 14 Cooke, Richard G. 14 Davenport, Harold 14 Hodge, William Vallance Douglas 14 Kuttner, Brian 13 Cunningham, Allan Joseph Champneys 13 Love, Augustus Edward Hough 13 Poole, Edgar Girard Croker 13 Whipple, Francis John Welsh 13 Young, Grace Chisholm 12 Hayden, H. A. 12 Pollard, Samuel 12 Richmond, Herbert William 12 Ruse, Harold Stanley 12 Sargent, Winifred Lydia Caunden 12 Steen, Stourton William Peile 11 Burkill, John Charles 11 Grace, John Hilton 11 Hyslop, J. M. 11 Lamb, Horace 11 Paley, Raymond Edward Alan Christopher 11 Richardson, Archibald Read 11 Room, Thomas Gerald 11 Whittaker, John Macnaghten 10 Dixon, Arthur Lee 10 Kober, Hermann 10 Mordell, Louis Joel 9 Fox, Charles 9 Larmor, Joseph 9 Mulholland, Hugh P. 9 Oppenheim, Alexander 9 Pólya, George 9 Ramanujan, Srinivasa 9 Semple, John G. 9 Ursell, H. D. 9 Wilton, John Raymond 9 Wood, Philip Worsley 8 Ananda-Rau, K. 8 Coxeter, Harold Scott MacDonald 8 Du Val, Patrick 8 Elliott, Edwin Bailey 8 Goldstein, Sydney 8 Hall, Philip 8 Heilbronn, Hans Arnold 8 Hudson, Hilda Phoebe 8 Jolliffe, Arthur Ernest 8 Macdonald, Hector Munro 8 Mahler, Kurt 8 Rado, Richard 8 Wilson, Bertram Martin 7 Barnes, Ernest William 7 Besicovitch, Abram S. 7 Campbell, John Edward 7 Carslaw, H. S. 7 Heawood, Percy John 7 Hirsch, Kurt August 7 Hodgkinson, J. 7 Macintyre, Archibald James 7 Mathews, George Ballard 7 Neville, Eric Harold 7 Potter, H. S. A. 7 Sheppard, William Fleetwood 7 Synge, John Lighton 7 Turing, Alan Mathison 7 Ward, A. J. B. 7 Whitehead, John Henry Constantine 7 Wright, Edward Maitland 6 Gabriel, R. M. 6 Hille, Einar 6 Ingham, Albert Edward ...and 393 more Authors all top 5 Fields 85 Number theory (11-XX) 19 Group theory and generalizations (20-XX) 17 Sequences, series, summability (40-XX) 14 Functions of a complex variable (30-XX) 8 Combinatorics (05-XX) 8 Real functions (26-XX) 6 Algebraic geometry (14-XX) 6 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 3 Convex and discrete geometry (52-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,084 Publications have been cited 12,594 times in 10,567 Documents Cited by ▼ Year ▼ On a problem of formal logic. JFM 55.0032.04Ramsey, F. P. 633 1929 On computable numbers, with an application to the Entscheidungsproblem. Zbl 0016.09701Turing, A. M. 428 1936 Asymptotic formulae in combinatory analysis. JFM 46.0198.04Hardy, G. H.; Ramanujan, S. 332 1918 Some properties of enumeration in the theory of modular systems. JFM 53.0104.01Macaulay, F. S. 224 1927 A contribution to the theory of groups of prime-power order. Zbl 0007.29102Hall, P. 194 1933 Further identities of the Rogers-Ramanujan type. Zbl 0046.27204Slater, L. J. 175 1952 Diffusion by continuous movements. JFM 48.0961.01Taylor, G. I. 170 1921 On the coefficients of subordinate functions. Zbl 0028.35502Rogosinski, Werner 155 1943 A theorem concerning power series. JFM 44.0289.01Bohr, Harald 142 1914 The units of group-rings. Zbl 0025.24302Higman, Graham 129 1940 A remarkable series of orthogonal functions. I. Zbl 0005.24806Paley, R. E. A. C. 125 1932 On inequalities in the theory of functions. JFM 51.0247.03Littlewood, J. E. 125 1925 On computable numbers, with an application to the Entscheidungsproblem. JFM 62.1059.03Turing, A. M. 124 1936 Identities of the Rogers-Ramanujan type. Zbl 0031.39203Bailey, W. N. 113 1948 Simplicial spaces, nuclei and m-groups. Zbl 0022.40702Whitehead, J. H. C. 110 1939 Mean-value theorems in the theory of the Riemann Zeta-function. JFM 53.0313.01Ingham, A. E. 106 1927 Commutative ordinary differential operators. JFM 49.0311.03Burchnall, J. L.; Chaundy, T. W. 101 1923 On Ruse’s spaces of recurrent curvature. Zbl 0039.17702Walker, A. G. 100 1950 Einige Ungleichungen für zweimal differenzierbare Funktionen. JFM 44.0463.02Landau, E. 94 1913 The asymptotic expansion of the generalized hypergeometric function. Zbl 0025.40402Wright, E. M. 93 1940 A new proof of Rogers’s transformations of infinite series. Zbl 0044.06102Slater, L. J. 91 1951 The zeros of certain integral functions. JFM 52.0334.03Titchmarsh, E. C. 89 1926 On two theorems of combinatory analysis and some allied identities. JFM 46.0109.01Rogers, L. J. 83 1917 Group characters and the structure of groups. Zbl 0011.25001Littlewood, D. E. 80 1935 The units of group-rings. JFM 66.0104.04Higman, G. 75 1940 Tauberian theorems concerning power series and Dirichlet’s series whose coefficients are positive. JFM 45.0389.02Hardy, G. H.; Littlewood, J. E. 75 1914 Some identities in combinatory analysis. Zbl 0041.03403Bailey, W. N. 73 1947 On the imbedding of linear graphs in surfaces. Zbl 0033.30803Tutte, W. T. 72 1949 The asymptotic expansion of generalized hypergeometric functions. JFM 54.0392.03Fox, C. 70 1928 The mean value of the modulus of an analytic function. JFM 45.1331.03Hardy, G. H. 70 1915 Systems of logic based on ordinals. Zbl 0021.09704Turing, A. M. 70 1939 The transformation of the electrodynamical equations. JFM 41.0942.03Bateman, H. 69 1910 Theorems on Fourier series and power series. II. Zbl 0015.25402Littlewood, J. E.; Paley, R. E. A. C. 66 1936 On certain sets of elements in a free group. Zbl 0013.24801Whitehead, J. H. C. 63 1936 A method of variation within the family of simple functions. Zbl 0019.22201Schiffer, Menahem 63 1938 On the class-number of the corpus \(P(\sqrt {-k})\). JFM 54.0206.02Littlewood, J. E. 60 1928 On computable numbers, with an application to the Entscheidungsproblem. A correction. Zbl 0018.19304Turing, A. M. 58 1937 Sets of fractional dimensions which occur in some problems of number theory. Zbl 0045.16603Eggleston, H. G. 57 1951 On the partition function \(p(n)\). Zbl 0017.05503Rademacher, Hans 57 1937 On the average number of real roots of a random algebraic equation. Zbl 0033.14702Kac, M. 56 1948 Sub-spaces of a space with torsion. JFM 58.0767.01Hayden, H. A. 56 1932 The converse of Abel’s theorem on power series. JFM 42.0276.01Littlewood, J. E. 56 1911 Sub-spaces of a space with torsion. Zbl 0005.26601Hayden, H. A. 54 1932 The foundations of mathematics. JFM 52.0046.01Ramsey, F. P. 52 1926 Alternants and continuous groups. JFM 36.0225.01Baker, H. F. 52 1905 Products of generalized hypergeometric series. JFM 54.0392.04Bailey, W. N. 49 1928 Note on combinatorial analysis. Zbl 0028.33801Rado, R. 47 1943 A new development of the theory of the hypergeometric functions. JFM 39.0506.01Barnes, E. W. 47 1908 Asymptotic formulae for the distribution of integers of various types. (A problem in the analytic theory of numbers.). JFM 46.0198.03Hardy, G. H.; Ramanujan, S. 45 1916 On hypercomplex numbers. JFM 39.0139.01Maclagan Wedderburn, J. H. 45 1908 On the transformation theory of basic hypergeometric functions. Zbl 0044.07705Sears, D. B. 44 1951 Theorems relating to the summability and convergence of slowly oscillating series. JFM 41.0278.02Hardy, G. H. 44 1910 A remarkable series of orthogonal functions. II. Zbl 0005.24901Paley, R. E. A. C. 43 1932 Contributions to the arithmetic theory of series. JFM 43.0312.01Hardy, G. H.; Littlewood, J. E. 43 1912 The mock theta functions. II. Zbl 0015.30402Watson, G. N. 43 1936 Subgroups of Abelian groups. Zbl 0010.34304Birkhoff, Garrett 42 1934 On the partition function \(p(n)\). JFM 63.0140.02Rademacher, H. 42 1937 On the roots of certain algebraic equations. JFM 57.0128.03Bloch, A.; Pólya, G. 42 1931 Proofs of some formulae enunciated by Ramanujan. JFM 48.1216.02Wilson, B. M. 42 1922 Asymptotic formulae in combinatory analysis. JFM 46.0198.02Hardy, G. H.; Ramanujan, S. 42 1918 Regular skew polyhedra in three and four dimensions, and their topological analogues. Zbl 0016.27101Coxeter, H. S. M. 42 1937 A remark on conjugate series. Zbl 0005.35301Zygmund, Antoni 41 1932 Simplicial spaces, nuclei and \(m\)-groups. JFM 65.1443.01Whitehead, J. H. C. 40 1939 Properties of logarithmico-exponential functions. JFM 42.0437.02Hardy, G. H. 40 1911 Two applications of general theorems in combinatory analysis: (1) To the theory of inversions of permutations; (2) To the ascertainment of the numbers of terms in the development of a determinant which has amongst its elements an arbitrary number of zero. JFM 46.0107.04MacMahon, P. A. 39 1916 Automorphisms of the field of complex numbers. Zbl 0042.39304Kestelman, H. 37 1951 Some problems of diophantine approximation: The lattice-points of a right-angled triangle. I, II. JFM 48.0197.07Hardy, G. H.; Littlewood, J. E. 37 1921 The asymptotic expansion of the generalized Bessel function. Zbl 0010.21103Wright, E. Maitland 36 1934 On a type of modular relation. JFM 48.0151.02Rogers, L. J. 36 1921 Highly composite numbers. JFM 45.1248.01Ramanujan, S. 36 1915 On the Fourier series of bounded functions. JFM 44.0300.03Young, W. H. 36 1913 On some difficulties in the theory of transfinite numbers and order types. JFM 37.0074.01Russell, B. 36 1906 On the representations of a number as the sum of two products. I, II. JFM 56.0174.02Estermann, T. 35 1930 Sur l’équivalence de certaines méthodes de sommation. JFM 50.0154.01Riesz, M. 35 1924 On quantitative substitutional analysis. III. JFM 54.0150.01Young, Alfred 34 1928 The distribution of molecular velocities and the mean motion in a non- uniform gas. Zbl 0013.04405Burnett, D. 34 1935 On the system normalizers of a soluble group. Zbl 0018.01001Hall, P. 34 1937 On Lidstone’s series and two-point expansions of analytic functions. Zbl 0008.16901Whittaker, J. M. 33 1933 A table of Ramanujan’s function \(\tau(n)\). Zbl 0032.01501Watson, G. N. 33 1949 On Dirichlet’s divisor problem. JFM 46.0260.01Hardy, G. H. 33 1916 On computable numbers, with an application to the Entscheidungsproblem. A correction. JFM 63.0823.02Turing, A. M. 32 1937 The average order of the arithmetical functions \(P(x)\) and \(\Delta(x)\). JFM 46.0262.01Hardy, G. H. 32 1916 On Milne’s theory of world-structure. Zbl 0015.27904Walker, A. G. 32 1936 The asymptotic expansion of the generalized Bessel function. JFM 60.0306.02Wright, E. M. 31 1934 A remarkable series of orthogonal functions I,II. JFM 58.0284.03Paley, R. E. A. C. 31 1932 Moments and product moments of sampling distributions. JFM 55.0924.01Fisher, R. A. 31 1929 Some problems of “Partitio numerorum”. V: A further contribution to the study of Goldbach’s problem. JFM 49.0127.03Hardy, G. H.; Littlewood, J. E. 31 1923 On conjugate functions. JFM 54.0307.01Titchmarsh, E. C. 30 1928 The harmonic functions associated with the parabolic cylinder. II. JFM 46.0576.04Watson, G. N. 30 1918 The eliminant of three quantics in two independent variables (Second paper). JFM 40.0207.01Dixon, A. L. 30 1909 The absolute Cesaro summability of a Fourier series. Zbl 0015.06402Bosanquet, L. S. 30 1936 General transforms. Zbl 0007.06401Watson, G. N. 29 1933 Functions of intervals. JFM 49.0177.02Burkill, J. C. 29 1923 The asymptotic expansion of integral functions defined by generalised hypergeometric series. JFM 38.0449.01Barnes, E. W. 29 1907 On function sum theorems connected with the series \(\sum_{n=1}^{\infty} \frac {x^n}{n^2}\). JFM 37.0428.03Rogers, L. J. 29 1906 On Wiener’s method in Tauberian theorems. Zbl 0010.35202Ingham, A. E. 28 1935 On the convergence and summability of power series on the circle of convergence. II. Zbl 0060.20208Zygmund, Antoni 28 1942 On well-poised series, generalized hypergeometric series having parameters in pairs, each pair with the same sum. JFM 51.0283.03Whipple, F. J. W. 28 1925 On the representation of certain asymptotic series as convergent continued fractions. JFM 37.0255.02Rogers, L. J. 28 1906 Theorems of Fourier series and power series III. Zbl 0016.30105Littlewood, J. E.; Paley, R. E. A. C. 28 1937 Further identities of the Rogers-Ramanujan type. Zbl 0046.27204Slater, L. J. 175 1952 On quantitative substitutional analysis. IX. Zbl 0046.24402Young, Alfred 3 1952 On the behaviour of the function \(\sum^\infty_{n=0}\) \(e^{\sqrt{2}\pi in^2}{z^{2n}\over n!}\). Zbl 0046.30501Nassif, M. 3 1952 Groups of infinite matrices. Zbl 0046.11901Allen, H. S. 1 1952 Note on a paper by M. Nassif. Zbl 0046.30502Tims, W. R. 1 1952 A new proof of Rogers’s transformations of infinite series. Zbl 0044.06102Slater, L. J. 91 1951 Sets of fractional dimensions which occur in some problems of number theory. Zbl 0045.16603Eggleston, H. G. 57 1951 On the transformation theory of basic hypergeometric functions. Zbl 0044.07705Sears, D. B. 44 1951 Automorphisms of the field of complex numbers. Zbl 0042.39304Kestelman, H. 37 1951 On the absolute Riesz summability of Fourier series and allied series. Zbl 0044.29002Mohanty, R. 26 1951 On the Fredholm theory of integral equations for operators belonging to the trace class of a general Banach space. Zbl 0054.04906Ruston, A. F. 19 1951 Transformations of basic hypergeometric functions of special type. Zbl 0042.07503Sears, D. B. 18 1951 On Waring’s problem for cubes. Zbl 0043.27303Roth, K. F. 14 1951 A problem in additiv number theory. Zbl 0044.03601Roth, Klaus F. 12 1951 Transformations of basic hypergeometric functions of any order. Zbl 0044.07704Sears, D. B. 12 1951 Indefinite binary quadratic forms, and Euclid’s algorithm in real quadratic fields. Zbl 0045.01402Davenport, Harold 12 1951 On generalized \(k\)-transformations in Banach spaces. Zbl 0042.12502Melvin-Melvin, H. 9 1951 Lattices. Zbl 0042.41004Rennie, B. C. 9 1951 On generalized derivatives and Cesàro-Denjoy integrals. Zbl 0045.33201Sargent, W. L. C. 8 1951 A classification of \(K^*\)-spaces. Zbl 0045.43001Ruse, H. S. 7 1951 The structure and order of the group of central automorphisms of a finite group. Zbl 0042.02301Hughes, N. J. S. 5 1951 Non-commutative trainalgebras of ranks 2 and 3. Zbl 0042.03401Etherington, I. M. H. 5 1951 On the transformation theory of hypergeometric functions and cognate trigonometrical series. Zbl 0042.30601Sears, D. B. 5 1951 The signatures of the errors of simultaneous diophantine approximations. Zbl 0042.04601Rogers, C. A. 4 1951 On sums of squares of square-free numbers. Zbl 0042.27002Estermann, T. 4 1951 Some covering theorems. II. Zbl 0054.06904Rado, R. 4 1951 Cohomology and deformation retracts. Zbl 0042.17101Hu, Sze-tsen 3 1951 On a finite group of order 6 531 840. Zbl 0043.02801Hamill, C. M. 3 1951 An expansion in eigenfunctions. Zbl 0045.34002Sears, D. B. 3 1951 Almost periodicity and non-absolutely integrable functions. Zbl 0042.31901Burkill, H. 2 1951 The Riemann complex in a four-dimensional space of recurrent curvature. Zbl 0043.37102Ruse, H. S. 2 1951 On the multiplication of \(S\)-functions. Zbl 0054.01202Newell, M. J. 2 1951 The complete irreducible system of four ternary quadratics. Zbl 0042.01401Todd, J. A. 1 1951 The asymptotic directions of \(n\) linear forms in \(n+1\) integral variables. Zbl 0042.04503Rogers, C. A. 1 1951 Differentiation in space-time. Zbl 0042.39901Littlewood, D. E. 1 1951 On a theorem of Khintchine. Zbl 0043.27604Prasad, A. V. 1 1951 The conformal geometry of a general differential metric space. Zbl 0043.37402Clark, R. S. 1 1951 On the representation of large numbers as sums of squares, higher powers, and primes. Zbl 0044.03502Halberstam, H. 1 1951 The critical lattices of the double cone. Zbl 0044.04302Whitworth, J. V. 1 1951 Topologies in rings of sets. Zbl 0054.07002Cooper, J. L. B. 1 1951 On Ruse’s spaces of recurrent curvature. Zbl 0039.17702Walker, A. G. 100 1950 On generalizations of Minkowski’s inequality in the form of a triangle inequality. Zbl 0035.03501Mulholland, H. P. 20 1950 On functional transformations and summability. Zbl 0039.06203Robinson, A. 18 1950 The Jordan-Hölder theorem for general abstract algebras. Zbl 0038.17002Goldie, A. W. 7 1950 Self-transformations of determinantal quartic surfaces. I, II, III, IV. Zbl 0036.37501Room, T. G. 6 1950 On a theorem of Khintchine. Zbl 0037.17101Davenport, Harold 2 1950 On the transformation theory of hypergeometric functions. Zbl 0037.33103Sears, D. B. 2 1950 Mean value theorems in recursive theory. I. Differential mean value theorems. Zbl 0041.34701Goodstein, R. L. 2 1950 Fourier-Stieltjes integrals. Zbl 0035.03102Cooper, J. L. B. 1 1950 The complete irreducible system of two quaternary quadratics. Zbl 0037.14901Todd, J. A. 1 1950 On syzygies connecting the covariant line-complexes of two quadric surfaces. Zbl 0037.38101Todd, J. A. 1 1950 On the imbedding of linear graphs in surfaces. Zbl 0033.30803Tutte, W. T. 72 1949 A table of Ramanujan’s function \(\tau(n)\). Zbl 0032.01501Watson, G. N. 33 1949 Note on convergence and summability factors. III. Zbl 0032.40402Bosanquet, L. S. 23 1949 Arithmetical pattern problems relating to divisibility by rth powers.,. Zbl 0031.25209Mirsky, L. 18 1949 A criterion for the absolute convergence of a Fourier series. Zbl 0034.04501Mohanty, R. 18 1949 On indefinite ternary quadratic forms. Zbl 0032.40104Davenport, Harold 7 1949 On Riesz summability of Fourier series. III. Zbl 0033.17403Wang, Fu Traing 7 1949 Fourier reciprocities and the Riemann zeta-function. Zbl 0039.11503Guinand, A. P. 6 1949 Some covering theorems (I). Zbl 0040.25103Rado, R. 6 1949 Covering theorems for ordered sets. Zbl 0032.14803Rado, R. 4 1949 The structure of Farey series. Zbl 0034.17401Neville, E. H. 4 1949 Inequalities in the theory of functions. Zbl 0033.05803Hayman, W. K. 3 1949 Map-colour theorem. Zbl 0040.10304Heawood, P. J. 3 1949 On plane sets of fractional dimensions. Zbl 0034.17904Moran, P. A. P. 2 1949 On the effectiveness at a point of product and reciprocal sets of polynomials. Zbl 0041.39906Eweida, M. T. 2 1949 The centre of flexure of a hollow shaft. Zbl 0031.42403Stevenson, A. C. 1 1949 The successive minima of measurable sets. Zbl 0034.02703Rogers, C. A. 1 1949 On the theory of functions associated with a canonical Fuchsian group. Zbl 0034.05601Dalzell, D. P. 1 1949 Identities of the Rogers-Ramanujan type. Zbl 0031.39203Bailey, W. N. 113 1948 On the average number of real roots of a random algebraic equation. Zbl 0033.14702Kac, M. 56 1948 Three-dimensional spaces of recurrent curvature. Zbl 0038.34303Ruse, H. S. 26 1948 Une interpretation algébrique de la suite des ordres de multiplicité d’une branche algébrique. Zbl 0031.07002Arf, Cahit 22 1948 A summation formula in the theory of prime numbers. Zbl 0031.11003Guinand, A. P. 17 1948 Improvement of a theorem of Linnik and Walfisz. Zbl 0032.11006Chowla, Sarvadaman 16 1948 On simply harmonic Kappa-spaces” of four dimensions. Zbl 0030.37202Ruse, H. S. 14 1948 On the total relative strength of the Hölder and Cesaro methods. Zbl 0031.20904Basu, S. K. 9 1948 Note on convergence and summability factors. II. Zbl 0030.24801Bosanquet, L. S. 7 1948 Symmetric operators in Hilbert space. Zbl 0030.16101Cooper, J. L. B. 6 1948 On the summation of multiple Fourier series. I, II. Zbl 0054.03201Chandrasekharan, K. 6 1948 On the set of distances between the points of a Caratheodory linearly measurable plane point set. Zbl 0030.24402Besicovitch, A. S.; Miller, D. S. 4 1948 The hypergeometric identities of Cayley, Orr, and Bailey. Zbl 0031.39102Burchnall, J. L.; Chaundy, T. W. 4 1948 Invariant theory under orthogonal groups. Zbl 0031.00405Littlewood, D. E. 3 1948 On the multiplicators of some classes of Fourier transforms. Zbl 0031.16405Doss, Raouf 3 1948 On the four-colour conjecture. Zbl 0030.08102Tutte, W. T. 2 1948 Some remarks on the construction of continuous non-differentiable functions. Zbl 0041.38203Behrend, F. A. 2 1948 The self-polar Riemann complex for a \(V_4\). Zbl 0029.41901Ruse, H. S. 1 1948 On analytic functions possessing certain properties of univalency. Zbl 0030.25102Nehari, Zeev 1 1948 An extension of a Tauberian theorem of L. J. Mordell. Zbl 0030.35004Minakshisundaram, S.; Rajagopal, C. T. 1 1948 Note on Cahit Arf’s ”Une interpretation algebrique de la suite des ordres de multiplicite d’une branche algebrique”. Zbl 0031.07003du Val, Patrick 1 1948 Some remarks on the construction of continuous non-differentiable functions. Zbl 0083.28501Behrend, F. A. 1 1948 Some identities in combinatory analysis. Zbl 0041.03403Bailey, W. N. 73 1947 On infinite soluble groups. III. Zbl 0033.14902Hirsch, K. A. 12 1947 On arithmetical properties of quartic surfaces. Zbl 0034.08603Segre, Beniamino 9 1947 On simultaneous diophantine approximations. Zbl 0032.40001Dyson, F. J. 8 1947 Subspaces of a Finsler space. Zbl 0032.42901Davies, E. T. 4 1947 On the concomitants of spin tensors. Zbl 0033.00902Littlewood, D. E. 4 1947 On positive Riesz and Abel typical means. Zbl 0033.25801Kuttner, Brian 4 1947 Asymptotic integrals of a fourth order differential equation containing a large parameter. Zbl 0041.41902Meksyn, D. 4 1947 A mean value theorem involving Cesaro means. Zbl 0032.34103Sargent, W. L. C. 3 1947 ...and 911 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,044 Authors 52 Srivastava, Hari Mohan 50 Andrews, George Eyre 42 Ponnusamy, Saminathan 32 Chu, Wenchang 28 Bringmann, Kathrin 28 Çanak, İbrahim 26 Rodl, Vojtech 23 Berndt, Bruce Carl 23 Móricz, Ferenc 22 Totur, Ümit 21 De, Uday Chand 21 Sunouchi, Gen-ichiro 20 Erdős, Pál 20 Rathie, Arjun Kumar 20 Yang, Bicheng 19 Nešetřil, Jaroslav 19 Sills, Andrew V. 18 Merca, Mircea 18 Schulte, Egon 18 Sooppy Nisar, Kottakkaran 17 Bosanquet, Lancelot Stephen 16 Fox, Jacob 16 Hindman, Neil 16 Nicolas, Jean-Louis 16 Stanley, Richard Peter 16 Wirths, Karl-Joachim 16 Zaharescu, Alexandru 16 Zhang, Cunquan 15 Defant, Andreas 15 Milne, Stephen C. 15 Warnaar, S. Ole 14 Choi, Junesang 14 Jennings-Shaffer, Chris 14 Kayumov, Il’giz Rifatovich 14 Khan, Nabiullah U. 14 Lovejoy, Jeremy 14 McMullen, Peter 14 Schiffer, Menahem Max 14 Šemrl, Peter 14 Shaikh, Absos Ali 14 Simon, Barry 13 Conlon, David 13 Jurkat, Wolfgang B. 13 Mc Laughlin, James G. 13 Rojas, Cristobal 13 Sudakov, Benny 13 Yampolsky, Michael 12 Bergelson, Vitaly 12 Berkovich, Alexander 12 Gesztesy, Fritz 12 Mir, Abdullah 12 Osękowski, Adam 12 Paris, Richard Bruce 12 Pogány, Tibor K. 12 Rassias, Michael Th. 12 Saxena, Ram Kishore 12 Steuding, Jörn 12 Vaughan, Robert C. 12 Zeller, Karl Longin 12 Zhang, Zhizheng 11 Allu, Vasudevarao 11 Aouf, Mohamed Kamal 11 Bingham, Nicholas Hugh 11 Gallardo-Gutiérrez, Eva Antonia 11 Goginava, Ushangi 11 Ismail, Mourad El-Houssieny 11 Kim, Byungchan 11 Krattenthaler, Christian Friedrich 11 Margolis, Leo 10 Ali, Rosihan Mohamed 10 Bächle, Andreas 10 Baumslag, Gilbert 10 Brüdern, Jörg 10 Cartwright, Mary Lucy 10 Darus, Maslina 10 Deuber, Walter A. 10 Grigoryan, Martin Gevorgovich 10 Hardy, Godfrey Harold 10 Hille, Einar 10 Iljazović, Zvonko 10 Izumi, Shin-ichi 10 Jespers, Eric 10 Littlewood, John Edensor 10 Ono, Ken 10 Rhoades, Billy E. 10 Sokół, Janusz 10 Suthar, Daya Lal 10 Tanigawa, Yoshio 10 Tietz, Hubert 10 Tikhonov, Sergey Yur’evich 10 Vindas, Jasson 9 Adiprasito, Karim Alexander 9 Alzer, Horst 9 Andrade, Julio Cesar 9 Benedetti, Bruno 9 Bhowmik, Bappaditya 9 Chaubey, Sudhakar Kumar 9 Costabile, Francesco Aldo 9 del Río, Angel 9 Dikranjan, Dikran N. ...and 10,944 more Authors all top 5 Cited in 903 Journals 342 Transactions of the American Mathematical Society 318 Journal of Mathematical Analysis and Applications 246 Mathematische Zeitschrift 243 Proceedings of the American Mathematical Society 234 Journal of Algebra 203 Journal of Number Theory 185 Advances in Mathematics 182 Discrete Mathematics 159 The Ramanujan Journal 150 Mathematische Annalen 149 Journal of Combinatorial Theory. Series A 114 Mathematical Notes 107 Journal of Mathematical Physics 105 Archiv der Mathematik 98 Theoretical Computer Science 93 Bulletin of the American Mathematical Society 92 Monatshefte für Mathematik 86 Tôhoku Mathematical Journal. Second Series 85 Annali di Matematica Pura ed Applicata. Serie Quarta 84 Acta Mathematica 80 Israel Journal of Mathematics 76 Linear Algebra and its Applications 72 Communications in Algebra 71 Mathematical Proceedings of the Cambridge Philosophical Society 70 Journal of Mathematical Sciences (New York) 67 Journal of Approximation Theory 66 Journal of Pure and Applied Algebra 63 European Journal of Combinatorics 63 Acta Mathematica Hungarica 61 Applied Mathematics and Computation 58 Journal d’Analyse Mathématique 57 Bulletin of the Australian Mathematical Society 57 Journal of Fluid Mechanics 56 Integral Transforms and Special Functions 55 Mathematika 54 Journal of the Australian Mathematical Society 53 Journal of Combinatorial Theory. Series B 52 Mathematics of Computation 52 Proceedings of the Edinburgh Mathematical Society. Series II 52 Rendiconti del Circolo Matemàtico di Palermo. Serie II 51 Advances in Applied Mathematics 49 Journal of Symbolic Computation 48 Analysis Mathematica 47 Communications in Mathematical Physics 45 Journal of Computational and Applied Mathematics 43 Journal of Statistical Physics 42 Compositio Mathematica 42 Siberian Mathematical Journal 42 International Journal of Number Theory 41 Rocky Mountain Journal of Mathematics 41 Journal of Functional Analysis 41 Annals of Pure and Applied Logic 40 Acta Mathematica Academiae Scientiarum Hungaricae 38 Ukrainian Mathematical Journal 38 Annales de l’Institut Fourier 37 Archive for Rational Mechanics and Analysis 37 Inventiones Mathematicae 36 Discrete Applied Mathematics 36 Proceedings of the Japan Academy 36 Research in Number Theory 35 Topology and its Applications 35 The Electronic Journal of Combinatorics 34 Results in Mathematics 33 Synthese 33 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 33 Journal de Théorie des Nombres de Bordeaux 32 General Relativity and Gravitation 32 Annals of Combinatorics 31 Lithuanian Mathematical Journal 31 Graphs and Combinatorics 31 Bulletin of the American Mathematical Society. New Series 31 Proceedings of the Steklov Institute of Mathematics 30 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 30 Journal of Soviet Mathematics 30 Computational Methods and Function Theory 29 Duke Mathematical Journal 29 Rendiconti del Seminario Matematico della Università di Padova 29 Aequationes Mathematicae 29 Filomat 28 Archive for History of Exact Sciences 28 Computers & Mathematics with Applications 28 Periodica Mathematica Hungarica 28 Acta Arithmetica 28 Journal of Algebraic Combinatorics 28 Physics of Fluids 28 Journal of Inequalities and Applications 27 Indagationes Mathematicae. New Series 27 Journal of High Energy Physics 26 Journal of Differential Equations 25 Arkiv för Matematik 25 Proceedings of the Japan Academy. Series A 25 Combinatorica 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 24 International Journal of Mathematics and Mathematical Sciences 24 Discrete & Computational Geometry 24 Applied Mathematics Letters 24 Historia Mathematica 23 Wave Motion 23 Integral Equations and Operator Theory 22 Journal für die Reine und Angewandte Mathematik ...and 803 more Journals all top 5 Cited in 63 Fields 1,921 Number theory (11-XX) 1,398 Combinatorics (05-XX) 821 Special functions (33-XX) 807 Group theory and generalizations (20-XX) 774 Functions of a complex variable (30-XX) 625 Computer science (68-XX) 579 Harmonic analysis on Euclidean spaces (42-XX) 548 Mathematical logic and foundations (03-XX) 410 Real functions (26-XX) 376 Partial differential equations (35-XX) 365 Operator theory (47-XX) 364 Probability theory and stochastic processes (60-XX) 357 Algebraic geometry (14-XX) 338 Fluid mechanics (76-XX) 335 Differential geometry (53-XX) 310 Functional analysis (46-XX) 306 Commutative algebra (13-XX) 279 Sequences, series, summability (40-XX) 277 Associative rings and algebras (16-XX) 249 Quantum theory (81-XX) 248 Numerical analysis (65-XX) 244 Linear and multilinear algebra; matrix theory (15-XX) 239 Ordinary differential equations (34-XX) 239 Dynamical systems and ergodic theory (37-XX) 214 Approximations and expansions (41-XX) 209 History and biography (01-XX) 191 Manifolds and cell complexes (57-XX) 170 Statistical mechanics, structure of matter (82-XX) 165 Convex and discrete geometry (52-XX) 154 Relativity and gravitational theory (83-XX) 145 Integral transforms, operational calculus (44-XX) 139 Several complex variables and analytic spaces (32-XX) 126 Nonassociative rings and algebras (17-XX) 126 Topological groups, Lie groups (22-XX) 117 Order, lattices, ordered algebraic structures (06-XX) 114 General topology (54-XX) 113 Geometry (51-XX) 107 Measure and integration (28-XX) 107 Statistics (62-XX) 98 Global analysis, analysis on manifolds (58-XX) 96 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Potential theory (31-XX) 91 Field theory and polynomials (12-XX) 90 Mechanics of deformable solids (74-XX) 86 Abstract harmonic analysis (43-XX) 80 Biology and other natural sciences (92-XX) 75 Information and communication theory, circuits (94-XX) 74 Difference and functional equations (39-XX) 73 Algebraic topology (55-XX) 66 General and overarching topics; collections (00-XX) 66 Integral equations (45-XX) 57 Optics, electromagnetic theory (78-XX) 57 Operations research, mathematical programming (90-XX) 54 Mechanics of particles and systems (70-XX) 45 Category theory; homological algebra (18-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 40 Systems theory; control (93-XX) 30 Classical thermodynamics, heat transfer (80-XX) 29 Geophysics (86-XX) 23 \(K\)-theory (19-XX) 18 Astronomy and astrophysics (85-XX) 14 General algebraic systems (08-XX) 3 Mathematics education (97-XX) Citations by Year