The Quarterly Journal of Mathematics. Oxford Series Short Title: Q. J. Math., Oxf. Ser. Publisher: Oxford University Press, Oxford ISSN: 0033-5606 Online: http://qjmath.oxfordjournals.org/content/by/year Successor: The Quarterly Journal of Mathematics. Oxford Second Series Comments: Journal; No longer indexed; This journal is available open access. Merged from Messenger of Mathematics & The Quarterly Journal of Pure and Applied Mathematics. Documents Indexed: 916 Publications (1930–1949) all top 5 Latest Issues 20 (1949) 19 (1948) 18 (1947) 17 (1946) 16 (1945) 15 (1944) 14 (1943) 13 (1942) 12 (1941) 11 (1940) 10 (1939) 9 (1938) 8 (1937) 7 (1936) 6 (1935) 5 (1934) 4 (1933) 3 (1932) 2 (1931) 1 (1930) all top 5 Authors 49 Chaundy, Theodore William 44 Titchmarsh, Edward Charles 27 Watson, George Neville 25 Bailey, Wilfrid Norman 23 Dixon, Arthur Lee 22 Wright, Edward Maitland 21 Whitehead, John Henry Constantine 20 Hodgkinson, J. 19 Erdélyi, Arthur 19 Ferrar, William Leonard 18 Milne, Edward Arthur 17 Burchnall, J. L. 17 Hardy, Godfrey Harold 17 Kober, Hermann 13 Cartwright, Mary Lucy 13 Linfoot, Edward Hubert 13 Littlewood, John Edensor 13 Poole, Edgar Girard Croker 12 Pidduck, F. B. 12 Walker, Arthur Geoffrey 11 Chowla, Sarvadaman 11 Davenport, Harold 11 Guinand, Andrew P. 11 Hua, Loo-Keng 10 Hoffmann, Banesh 9 Erdős, Pál 9 Haslam-Jones, Ughtred Shuttleworth 9 Rado, Richard 9 Ruse, Harold Stanley 8 Bosanquet, Lancelot Stephen 8 Heilbronn, Hans Arnold 8 Ingham, Albert Edward 8 Iyer, V. Ganapathy 8 Jackson, Frank Hilton 8 Mordell, Louis Joel 8 Whitrow, Gerald James 7 Crum, M. M. 7 Kosambi, Damodar Dharmananda 6 Busbridge, Ida W. 6 Daymond, S. D. 6 Macintyre, Archibald James 6 Oppenheim, Alexander 6 Phillips, Eric G. 6 Shepherd, W. M. 6 Whittaker, John Macnaghten 6 Wintner, Aurel 5 Atkinson, Frederick Valentine 5 Dickinson, D. R. 5 Mahler, Kurt 5 Morton, Vernon Charles 5 Potter, H. S. A. 5 Richardson, Archibald Read 5 Taussky-Todd, Olga 5 Todd, John Arthur 4 Aitken, Alexander Craig 4 Baer, Reinhold 4 Carlitz, Leonard 4 Cooper, Jacob Lionel Bakst 4 Dickson, Leonard Eugene 4 Evelyn, C. J. A. 4 Fuchs, Wolfgang H. J. 4 Gillis, Joseph E. 4 Jolliffe, Arthur Ernest 4 Ke, Zhao 4 Knight, R. C. 4 Lindemann, Frederick Alexander (Lord Cherwell) 4 Love, Augustus Edward Hough 4 McCrea, William Hunter 4 Newman, Maxwell Herman Alexander 4 Pall, Gordon 4 Rice, Stephen O. 4 Simmons, N. 4 Synge, John Lighton 4 Wang, Fu Traing 3 Besicovitch, Abram S. 3 Copson, Edward Thomas 3 Dienes, Paul 3 Foulkes, H. O. 3 Kendall, David George 3 Littlewood, Dudley Ernest 3 MacRobert, Thomas Murray 3 Mineo, Corradino 3 Mohan, Brij 3 Segre, Beniamino 3 Taylor, P. R. 2 Adams, Edwin Plimpton 2 Ananda-Rau, K. 2 Bailey, Victor Albert 2 Bambah, R. P. 2 Banerjee, D. P. 2 Batty, Joyce S. 2 Best, E. 2 Bohr, Harald 2 Burkill, John Charles 2 Carmichael, Robert D. 2 Carroll, J. A. 2 Chowla, Inder 2 Christopherson, Derman G. 2 Cowling, Thomas George 2 Coxeter, Harold Scott MacDonald ...and 128 more Authors all top 5 Fields 63 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 441 Publications have been cited 4,383 times in 3,925 Documents Cited by ▼ Year ▼ An example in the theory of the spectrum of a function. Zbl 0022.14602Titchmarsh, E. C. 505 1939 Complex Fourier-Bessel transforms. Zbl 0031.03202Titchmarsh, E. C. 200 1948 The fractional dimension of a set defined by decimal properties. Zbl 0031.20801Eggleston, H. G. 147 1949 Further studies of Emden’s and similar differential equations. Zbl 0003.23502Fowler, R. H. 127 1931 On bounded bilinear forms in an infinite number of variables. JFM 56.0335.01Littlewood, J. E. 95 1930 The Eulerian functions of a group. Zbl 0014.10402Hall, P. 83 1936 The generalized Bessel function of order greater than one. Zbl 0023.14101Wright, E. M. 69 1940 Some results in the additive prime-number theory. Zbl 0018.29404Hua, Loo-Keng 66 1938 On some infinite series involving arithmetical functions. II. JFM 63.0906.01Davenport, H. 62 1937 On fractional integrals and derivatives. JFM 66.0520.02Kober, H. 60 1940 On fractional integrals and derivatives. Zbl 0025.18502Kober, H. 59 1940 A theorem on independence relations. Zbl 0063.06369Rado, R. 57 1942 The Eulerian functions of a group. JFM 62.0082.02Hall, P. 54 1936 Series of hypergeometric type which are infinite in both directions. Zbl 0014.16003Bailey, W. N. 51 1936 Some results in the additive prime-number theory. JFM 64.0131.02Hua, Loo-Keng 50 1938 Expansions of Appell’s double hypergeometric functions. 2. Zbl 0028.15001Burchnall, J. L.; Chaundy, T. W. 49 1941 On the number of lattice points inside a random oval. Zbl 0031.11201Kendall, David G. 49 1948 On the difference between consecutive primes. Zbl 0017.38904Ingham, A. E. 41 1937 A theorem on periodic transformations of spaces. Zbl 0001.22703Newman, M. H. A. 40 1931 Convex regions in the geometry of paths. Zbl 0004.13102Whitehead, J. H. C. 39 1932 Three triple integrals. Zbl 0022.33202Watson, G. N. 38 1939 Theorems concerning mean values of analytic or harmonic functions. Zbl 0060.21702Hardy, G. H.; Littlewood, J. E. 38 1941 On the normal number of prime factors of \(p - 1\) and some related problems concerning Euler’s \(\varphi\)-function. JFM 61.0129.05Erdös, P. 37 1935 A certain open manifold whose group is unity. Zbl 0013.08103Whitehead, J. H. C. 36 1935 Expansions of Appell’s double hypergeometric functions. Zbl 0025.16301Burchnall, J. L.; Chaundy, T. W. 36 1940 Bilinear forms bounded in space \([p,q]\). Zbl 0010.36101Hardy, G. H.; Littlewood, J. E. 34 1934 Further studies of Emden’s and similar differential equations. JFM 57.0523.02Fowler, R. H. 33 1931 The constants of Landau and Lebesgue. JFM 56.0972.02Watson, G. N. 33 1930 On some infinite series involving arithmetical functions. II. Zbl 0017.39101Davenport, Harold 32 1937 The maximum number of lines lying on a quartic surface. Zbl 0063.06860Segre, Beniamino 30 1943 Some integral inequalities connected with the calculus of variations. Zbl 0006.06201Hardy, G. H.; Littlewood, J. E. 29 1932 An extension of hypergeometric functions. I. Zbl 0063.00808Chaundy, T. W. 29 1943 The generalized Bessel function of order greater than one. JFM 66.0322.01Wright, E. M. 28 1940 The functions of Schläfli and Lobatschefsky. Zbl 0011.17006Coxeter, H. S. M. 28 1935 On the difference of consecutive primes. JFM 61.0134.03Erdös, P. 27 1935 Asymptotic partition formulae. I. Plane partitions. Zbl 0002.38202Wright, E. Maitland 24 1931 Notes on Fourier series. III. Asymptotic formulae for the sums of certain trigonometrical series. Zbl 0063.01929Hardy, G. H.; Rogosinski, W. W. 24 1945 On parallel fields of partially null vector spaces. Zbl 0033.13101Walker, A. G. 23 1949 A note on certain q-identities. Zbl 0063.00168Bailey, W. N. 23 1941 A new Waring’s problem with squares of linear forms. JFM 56.0883.06Mordell, L. J. 22 1930 Convergence and summability criteria for Fourier series. JFM 56.0244.01Gergen, J. J. 21 1930 On the connectivity of spaces of positive curvature. Zbl 0015.41601Synge, J. L. 21 1936 On the distribution of the sequence \(n^2\Theta (\mod 1)\). Zbl 0031.20502Heilbronn, H. 21 1948 Newtonian universes and the curvature of space. Zbl 0009.04203McCrea, W. H.; Milne, E. A. 20 1934 On basic double hypergeometric functions. Zbl 0060.19809Jackson, F. H. 20 1942 Expansions of hypergeometric functions. Zbl 0063.00807Chaundy, T. W. 20 1942 On an integral equation arising in the theory of diffraction. Zbl 0063.00965Copson, E. T. 20 1946 On fractional integration and its application to the theory of Hankel transforms. JFM 66.0522.01Erdélyi, A. 19 1940 Notes on the theory of series. XIX: A problem concerning majorants of Fourier series. Zbl 0013.16102Hardy, G. H.; Littlewood, J. E. 19 1935 Note on an asymptotic formula connected with r-free integers. Zbl 0029.10905Mirsky, L. 19 1947 On the class-number in imaginary quadratic fields. Zbl 0009.29602Heilbronn, Hans 18 1934 On the modulus of doubly-connected domains. Zbl 0060.23707Schiffer, Menahem 18 1946 On some infinite series involving arithmetical functions. JFM 63.0134.05Davenport, H. 17 1937 On fractional integration and its application to the theory of Hankel transforms. Zbl 0025.18602Erdélyi, Arthur 17 1940 A note on the polynomials of Hermite. Zbl 0027.05301Burchnall, J. L. 17 1941 Factorization of even graphs. Zbl 0032.31601Rado, R. 17 1949 Some remarks on Hankel transforms. JFM 66.0521.01Erdélyi, A.; Kober, H. 16 1940 On the representation of a quadratic form as a sum of squares of linear forms. JFM 63.0123.03Ko, C. 16 1937 Bilinear forms bounded in space \([p,q]\). JFM 60.0335.01Hardy, G. H.; Littlewood, J. E. 16 1934 A Newtonian expanding universe. Zbl 0009.04202Milne, E. A. 16 1934 On the imaginary quadratic corpora of class-number one. Zbl 0010.33703Heilbronn, H.; Linfoot, E. H. 16 1934 Certain expansions of solutions of the Heun equation. Zbl 0060.19502Erdélyi, Arthur 16 1944 A certain open manifold whose group is unity. JFM 61.0607.01Whitehead, J. H. C. 15 1935 Note on the vibration of membranes. Zbl 0023.04202Christopherson, D. G. 15 1940 On the number of abelian groups of a given order. Zbl 0031.15303Kendall, D. G.; Rankin, R. A. 15 1947 Certain q-identities. Zbl 0063.03007Jackson, F. H. 15 1941 The zeros of certain integral functions. JFM 56.0973.02Cartwright, M. L. 14 1930 Self reciprocal functions. JFM 56.1016.02Hardy, G. H.; Titchmarsh, E. C. 14 1930 On a sum analogous to a Gauss’s sum. Zbl 0005.24603Mordell, L. J. 14 1932 On the normal number of prime factors of \(p-1\) and some related problems concerning Euler’s \(\varphi\)-function. Zbl 0012.14905Erdős, Paul 14 1935 On Waring’s problem. JFM 64.0124.04Hua, L.-K. 13 1938 The zeta-function of Riemann: Further developments of van der Corput’s method. JFM 59.0204.01Phillips, Eric 13 1933 A generalization of the quadratic differential form. JFM 56.0630.03Veblen, O. 13 1930 Lattice-point summation formulae. Zbl 0001.13001Dixon, A. L.; Ferrar, W. L. 13 1931 The summability of a Fourier series by logarithmic means. Zbl 0002.13004Hardy, G. H. 13 1931 A reducible case of the fourth type of Appell’s hypergeometric functions of two variables. Zbl 0008.11402Bailey, W. N. 13 1933 On the ideal structure of a semi-group satisfying a cancellation law. Zbl 0030.00802Rees, D. 13 1948 On the zeros of the Riemann zeta function. Zbl 0032.15605Titchmarsh, E. C. 13 1947 On primitive roots in finite fields. JFM 63.0905.03Davenport, H. 12 1937 On certain integral functions of order one. JFM 62.0354.01Cartwright, M. L. 12 1936 On the class-number in imaginary quadratic fields. JFM 60.0155.01Heilbronn, H. 12 1934 Some self-reciprocal functions. Zbl 0003.30201Watson, G. N. 12 1931 On an integral equation of Chandrasekhar. Zbl 0029.26901Crum, M. M. 12 1947 An improvement of Vinogradov’s mean-value theorem and several applications. Zbl 0039.27403Hua, Loo-Keng 12 1949 Expansions of Appell’s double hypergeometric functions. JFM 66.0326.01Burchnall, J. L.; Chaundy, T. W. 11 1940 On a problem in additive arithmetic. II. JFM 58.0185.01Carlitz, L. 11 1932 An extension of Heilbronn’s class-number theorem. Zbl 0010.33705Chowla, Sarvadaman 11 1934 On the ”high-indices theorem” of Hardy and Littlewood. Zbl 0016.39701Ingham, A. E. 11 1937 Electrostatic problems related to a perforated strip. Zbl 0020.32103Love, A. E. H. 11 1938 The mean value of the zeta-function on the critical line. Zbl 0022.02002Atkinson, F. V. 11 1939 The maximum term of an entire series. III. Zbl 0031.39403Shah, S. M. 11 1948 Basic double hypergeometric functions. II. Zbl 0060.19810Jackson, F. H. 11 1944 Some problems connected with Fourier’s work on transcendental equations. JFM 56.0283.01Pólya, G. 10 1930 Theorems on polynomials in a Galois field. Zbl 0006.24703Paley, R. E. A. C. 10 1933 On van der Corput’s method and the zeta-function of Riemann. V. Zbl 0010.01002Titchmarsh, E. C. 10 1934 On primitive roots in finite fields. Zbl 0018.10901Davenport, Harold 10 1937 Wiman’s method and the ”flat regions” of integral functions. Zbl 0019.07002Macintyre, Archibald J. 10 1938 On the estimation of \(N(\sigma,T)\). Zbl 0025.02704Ingham, A. E. 10 1940 A remark concerning the characteristic roots of the finite segments of the Hilbert matrix. Zbl 0036.01302Taussky, Olga 10 1949 Special train algebras. JFM 67.0093.04Etherington, I. M. H. 9 1941 The fractional dimension of a set defined by decimal properties. Zbl 0031.20801Eggleston, H. G. 147 1949 On parallel fields of partially null vector spaces. Zbl 0033.13101Walker, A. G. 23 1949 Factorization of even graphs. Zbl 0032.31601Rado, R. 17 1949 An improvement of Vinogradov’s mean-value theorem and several applications. Zbl 0039.27403Hua, Loo-Keng 12 1949 A remark concerning the characteristic roots of the finite segments of the Hilbert matrix. Zbl 0036.01302Taussky, Olga 10 1949 The mean-values of arithmetical functions. Zbl 0033.16103Atkinson, F. V.; Lord Cherwell 5 1949 Differential equations with polynomial solutions. Zbl 0031.40002Sawyer, W. W. 3 1949 A variant of a classical isoperimetric problem. Zbl 0033.30601Besicovitch, A. S. 3 1949 The volume of orthogonal and unitary space. Zbl 0034.29603Ponting, F. W.; Potter, H. S. A. 3 1949 Perturbed functional equations. Zbl 0033.12003Wright, E. M. 2 1949 Differential equations with polynomial solutions. Zbl 0034.19603Chaundy, T. W. 2 1949 On parallel fields of planes in a Riemannian space. Zbl 0035.38004Ruse, H. S. 2 1949 A note on s-functions. Zbl 0033.15001Foulkes, H. O. 1 1949 Eigenfunction expansions for a finite two-dimensional region. Zbl 0034.36302Titchmarsh, E. C. 1 1949 On the critical determinant of a certain non-convex cylinder. Zbl 0036.31101Rogers, C. A. 1 1949 Complex Fourier-Bessel transforms. Zbl 0031.03202Titchmarsh, E. C. 200 1948 On the number of lattice points inside a random oval. Zbl 0031.11201Kendall, David G. 49 1948 On the distribution of the sequence \(n^2\Theta (\mod 1)\). Zbl 0031.20502Heilbronn, H. 21 1948 On the ideal structure of a semi-group satisfying a cancellation law. Zbl 0030.00802Rees, D. 13 1948 The maximum term of an entire series. III. Zbl 0031.39403Shah, S. M. 11 1948 The hamiltonian derivatives of a class of fundamental invariants. Zbl 0031.07802Buchdahl, H. A. 6 1948 On Waring’s problem for finite fields. Zbl 0030.11302Schwarz, Štefan 5 1948 A condition under which an irreducible ideal is primary. Zbl 0031.25102Fuchs, L. 5 1948 A function-theory proof of Tauberian theorems on integral functions. Zbl 0030.04902Bowen, N. A. 4 1948 The Abel summation of certain Dirichlet series. Zbl 0029.35402Atkinson, F. V. 3 1948 Remarks on Ahlfors’ distortion theorem. Zbl 0030.03003Hayman, W. K. 3 1948 Note on a two-point boundary problem. Zbl 0030.05002Vermes, P. 3 1948 Note on non homogeneous quadratic forms. Zbl 0030.34304Varnavides, P. 3 1948 On the equation \(ax^2+by^2+cz^2=0\). Zbl 0031.15201Davenport, Harold; Hall, Marshall 3 1948 Note on the ultimate form of rotary fluid motion inside a cylinder. Zbl 0030.08801Lighthill, M. J. 2 1948 The compacting of topological spaces. Zbl 0030.08001Higman, G. 1 1948 On some Diophantine equations \(y^2=x^3+k\) with no rational solutions. Zbl 0030.29601Chang, K. L. 1 1948 A theorem on linkages. Zbl 0030.32201Higman, G. 1 1948 On the equation \(a_1x_1^k+a_2x_2^k+\cdots +a_kx_k^k+b=0\) in finite fields. Zbl 0031.10902Schwarz, Št. 1 1948 On complete residue sets. Zbl 0032.01104Vijayaraghavan, T.; Chowla, Sarvadaman 1 1948 Systems of partial differential equations of the second order. Zbl 0032.18802Kosambi, D. D. 1 1948 Note on an asymptotic formula connected with r-free integers. Zbl 0029.10905Mirsky, L. 19 1947 On the number of abelian groups of a given order. Zbl 0031.15303Kendall, D. G.; Rankin, R. A. 15 1947 On the zeros of the Riemann zeta function. Zbl 0032.15605Titchmarsh, E. C. 13 1947 On an integral equation of Chandrasekhar. Zbl 0029.26901Crum, M. M. 12 1947 Well-poised basic hypergeometric series. Zbl 0034.34002Bailey, W. N. 4 1947 On systems of algebraic equations and certain multiple exponential sums. Zbl 0029.01703Min, S. H. 3 1947 On the limits of Riemann approximating sums. Zbl 0029.01903Hartman, P. 3 1947 On the determination of the jump of a function by its Fourier coefficients. Zbl 0029.02602Misra, M. L. 2 1947 Some Fourier transforms in prime-number theory. Zbl 0029.11001Guinand, A. P. 2 1947 On the minimum of a bilinear form. Zbl 0029.11103Davenport, Harold; Heilbronn, H. 2 1947 Two lattice-point problems. Zbl 0029.11202Oppenheim, A. 2 1947 Unrestricted riccatian solution fields. Zbl 0029.12601Wintner, A. 2 1947 Iteration of the exponential function. Zbl 0030.25103Wright, E. M. 2 1947 On the positive values of linear forms. I, II. Zbl 0038.02703Chalk, John H. H. 2 1947 A mean-value theorem of the Riemann zeta function. Zbl 0029.01704Wang, F. T. 1 1947 The approximate solution of equations in infinitely many unknowns. Zbl 0029.05003Smith, R. C. T. 1 1947 A note on Ramanujans function \(\tau(n)\). Zbl 0029.10902Bambah, R. P.; Chowla, Sarvadaman 1 1947 A theorem on star domains. Zbl 0030.34601Cassels, J. W. S. 1 1947 Discontinuous limits and Fourier-Stieltjes integrals. Zbl 0032.39803Guinand, A. P. 1 1947 On an integral equation arising in the theory of diffraction. Zbl 0063.00965Copson, E. T. 20 1946 On the modulus of doubly-connected domains. Zbl 0060.23707Schiffer, Menahem 18 1946 The non-linear difference-differential equation. Zbl 0063.08323Wright, E. M. 7 1946 The arithmetic minima of positive quadratic forms. I. Zbl 0060.11102Chaundy, T. W. 5 1946 Commutative functions. I. II. Zbl 0063.08137Walker, A. G. 4 1946 On lattice points in a cylinder. Zbl 0060.11708Mahler, K. 3 1946 The determination of capacity for two-dimensional systems of cylindrical conductors. Zbl 0061.46508Craggs, J. W. 3 1946 Note on the distribution of the intervals between prime numbers. Zbl 0063.00838Lord Cherwell 3 1946 On a Tauberian theorem of K. Ananda Rau. Zbl 0060.15902Minakshisundaram, S.; Rajagopal, C. T. 2 1946 The five-dimensional geometry of the curvature tensor in a Riemannian \(V_4\). Zbl 0060.38407Ruse, H. S. 2 1946 Lommel’s functions of small argument. Zbl 0063.06218Pidduck, F. B. 2 1946 Lattice points in a circular quadrilateral bounded by the arcs of four circles. Zbl 0060.11703Ollerenshaw, Kathleen 1 1946 On infinite sets of homogeneous linear equations in Hilbert space. Zbl 0060.28003Hilding, S. H. 1 1946 On Frobenius’ theorem. Zbl 0063.01464Fu, C. S. 1 1946 Notes on Fourier series. III. Asymptotic formulae for the sums of certain trigonometrical series. Zbl 0063.01929Hardy, G. H.; Rogosinski, W. W. 24 1945 On the definition and value of the area of a surface. Zbl 0063.00350Besicovitch, A. S. 9 1945 On the Riemann zeta-function. Zbl 0061.08204Taylor, P. R. 7 1945 A theorem on Hausdorff’s methods of summation. Zbl 0061.12605Fuchs, W. H. J. 1 1945 Certain expansions of solutions of the Heun equation. Zbl 0060.19502Erdélyi, Arthur 16 1944 Basic double hypergeometric functions. II. Zbl 0060.19810Jackson, F. H. 11 1944 Functional equations and self-reciprocal functions connected with Lambert series. Zbl 0063.01782Guinand, A. P. 9 1944 An extension of the Sturm-Liouville expansion. Zbl 0061.13503Titchmarsh, E. C. 3 1944 The flat regions of integral functions of finite order. Zbl 0063.03725Maitland, B. J. 1 1944 The maximum number of lines lying on a quartic surface. Zbl 0063.06860Segre, Beniamino 30 1943 An extension of hypergeometric functions. I. Zbl 0063.00808Chaundy, T. W. 29 1943 A note on Hilbert transforms. Zbl 0063.03275Kober, H. 5 1943 On typical means. Zbl 0061.12702Fuchs, W. H. J.; Rogosinski, W. W. 1 1943 A note on Farey series. Zbl 0061.12804Erdős, Pál 1 1943 A theorem on independence relations. Zbl 0063.06369Rado, R. 57 1942 On basic double hypergeometric functions. Zbl 0060.19809Jackson, F. H. 20 1942 Expansions of hypergeometric functions. Zbl 0063.00807Chaundy, T. W. 20 1942 Integral equations for Heun functions. Zbl 0060.19503Erdélyi, Arthur 9 1942 Differential equations associated with hypergeometric functions. Zbl 0063.00660Burchnall, J. L. 8 1942 The lattice-points in a circle. Zbl 0060.11605Hua, Loo-keng 7 1942 Some problems in the analytic theory of numbers. Zbl 0060.10501Titchmarsh, E. C. 3 1942 Some integrals involving E-functions and confluent hypergeometric functions. Zbl 0061.14105MacRobert, Thomas M. 3 1942 A summation formula associated with finite trigonometric integrals. Zbl 0060.25704Kendall, D. G. 2 1942 A mean value theorem concerning Farey series. Zbl 0061.06702Mayer, A. E. 2 1942 An eigenfunction problem occurring in quantum mechanics. Zbl 0063.07796Titchmarsh, E. C. 2 1942 Summation formulae and self-reciprocal functions. III. Zbl 0060.26001Guinand, A. P. 1 1942 On neighbours of higher degree in Farey series. Zbl 0061.06703Mayer, A. E. 1 1942 The first and second variations of the volume integral in Riemannian space. Zbl 0063.01047Davies, E. T. 1 1942 Expansions of Appell’s double hypergeometric functions. 2. Zbl 0028.15001Burchnall, J. L.; Chaundy, T. W. 49 1941 Theorems concerning mean values of analytic or harmonic functions. Zbl 0060.21702Hardy, G. H.; Littlewood, J. E. 38 1941 A note on certain q-identities. Zbl 0063.00168Bailey, W. N. 23 1941 ...and 341 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,397 Authors 39 Pellegrino, Daniel Marinho 36 Srivastava, Hari Mohan 27 Jumarie, Guy M. 22 Chu, Wenchang 20 Lu, Guangshi 17 Lucchini, Andrea 16 Berndt, Bruce Carl 16 Dixit, Atul 15 Zaharescu, Alexandru 13 Liu, Jianya 13 Liu, Zhixin 13 Wooley, Trevor D. 12 Araújo, Gustavo da Silva 12 Everitt, William Norrie 11 Pomerance, Carl Bernard 11 Pskhu, Arsen Vladimirovich 11 Shah, Swarupchand M. 10 Butzer, Paul Leo 10 Luca, Florian 10 Núñez-Alarcón, Daniel 10 Seoane-Sepúlveda, Juan Benigno 10 Tao, Terence 9 Blei, Ron C. 9 Carlitz, Leonard 9 Colzani, Leonardo 9 Defant, Andreas 9 Ford, Kevin B. 9 Hasanov, Anvar H. 9 Laurinčikas, Antanas 9 Lutz, Jack H. 9 Pollack, Paul 9 Véron, Laurent 8 Avetisyan, Karen L. 8 Ernst, Thomas 8 Guo, Victor J. W. 8 Ishkhanyan, Artur Michaĭlovich 8 Ismail, Mourad El-Houssieny 8 Mainardi, Francesco 8 Saxena, Ram Kishore 8 Schlosser, Michael J. 8 Serrano-Rodríguez, Diana Marcela 8 Zhan, Tao 7 Albuquerque, Nacib Gurgel 7 Bosanquet, Lancelot Stephen 7 Brandolini, Luca 7 Cavalcante, Wasthenny Vasconcelos 7 Del Pino, Manuel A. 7 Heath-Brown, Roger 7 Ivić, Aleksandar 7 Jones, Gareth A. 7 Kułaga-Przymus, Joanna 7 Kumchev, Angel V. 7 Musso, Monica 7 Ntouyas, Sotiris K. 7 Peletier, Lambertus Adrianus 7 Rueda, Pilar 7 Shparlinski, Igor E. 6 Anastassiou, George Angelos 6 Baker, Roger C. 6 Barreira, Luis Manuel 6 Bleher, Pavel M. 6 Chen, Chaoping 6 Chubarikov, Vladimir Nikolaevich 6 Degtyarev, Alex 6 Franca, Matteo 6 Green, Ben Joseph 6 Harman, Glyn 6 Hayman, Walter Kurt 6 Huxley, Martin N. 6 Jiang, Yujiao 6 Lewin, Leonard 6 Liu, Ming-Chit 6 Lucht, Lutz Gerhard 6 Maier, Helmut 6 Milne, Stephen C. 6 Mirsky, Leon 6 Pagnini, Gianni 6 Rathie, Arjun Kumar 6 Santos, Joedson 6 Steuding, Jörn 6 Tanigawa, Yoshio 5 Agarwal, Praveen 5 Atkinson, Frederick Valentine 5 Banaś, Józef 5 Banks, William David 5 Bayart, Frédéric 5 Bortolotti, Enea 5 Cohen, Stephen D. 5 Cook, Roger J. 5 El Abdalaoui, El Houcein 5 Erdélyi, Arthur 5 Erdős, Pál 5 Fan, Ai Hua 5 Gigante, Giacomo 5 Jutila, Matti Ilmari 5 Khalique, Chaudry Masood 5 Kwong, Man Kam 5 Lebowitz, Joel Louis 5 Lemańczyk, Mariusz 5 Li, Jinjiang ...and 4,297 more Authors all top 5 Cited in 568 Journals 231 Journal of Mathematical Analysis and Applications 155 Transactions of the American Mathematical Society 112 Journal of Number Theory 99 Proceedings of the American Mathematical Society 87 Mathematische Zeitschrift 61 Monatshefte für Mathematik 55 Journal of Mathematical Physics 51 The Ramanujan Journal 50 Mathematische Annalen 48 Advances in Mathematics 48 Archiv der Mathematik 46 Journal of Computational and Applied Mathematics 39 Journal of Functional Analysis 39 Bulletin of the American Mathematical Society 37 Mathematical Proceedings of the Cambridge Philosophical Society 37 Applied Mathematics and Computation 37 Journal of Differential Equations 37 Mathematika 36 Integral Transforms and Special Functions 34 Discrete Mathematics 34 Mathematics of Computation 32 Mathematical Notes 32 Proceedings of the Edinburgh Mathematical Society. Series II 31 Communications in Mathematical Physics 31 Linear Algebra and its Applications 30 Journal d’Analyse Mathématique 30 Acta Mathematica 28 International Journal of Number Theory 27 Journal of Mathematical Sciences (New York) 26 Journal of Approximation Theory 26 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 26 Fractional Calculus & Applied Analysis 26 Physical Review, II. Series 25 Annali di Matematica Pura ed Applicata. Serie Quarta 24 Ukrainian Mathematical Journal 23 Acta Mathematica Hungarica 22 Rocky Mountain Journal of Mathematics 22 Journal of Soviet Mathematics 21 Acta Arithmetica 21 Journal of Algebra 21 Tôhoku Mathematical Journal. Second Series 20 Archive for Rational Mechanics and Analysis 20 Lithuanian Mathematical Journal 20 Glasgow Mathematical Journal 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Acta Mathematica Academiae Scientiarum Hungaricae 19 General Relativity and Gravitation 19 Duke Mathematical Journal 19 Journal of Combinatorial Theory. Series A 19 Rendiconti del Seminario Matematico della Università di Padova 18 Journal of Statistical Physics 18 Inventiones Mathematicae 18 Rendiconti del Circolo Matemàtico di Palermo. Serie II 18 Aequationes Mathematicae 17 Computers & Mathematics with Applications 17 Israel Journal of Mathematics 17 Compositio Mathematica 17 The Journal of Fourier Analysis and Applications 16 Bulletin of the Australian Mathematical Society 16 Chaos, Solitons and Fractals 16 Journal of the Australian Mathematical Society 15 Applicable Analysis 15 Periodica Mathematica Hungarica 15 Journal of Geometry and Physics 15 Topology and its Applications 14 Arkiv för Matematik 14 Czechoslovak Mathematical Journal 14 Applied Mathematics Letters 14 Acta Mathematica Sinica. English Series 13 Siberian Mathematical Journal 13 Advances in Applied Mathematics 13 Indagationes Mathematicae. New Series 13 Journal de Théorie des Nombres de Bordeaux 13 Journal of High Energy Physics 11 Acta Mechanica 11 Analysis Mathematica 11 Communications in Algebra 11 Ergodic Theory and Dynamical Systems 11 Computational Methods and Function Theory 11 Advances in Difference Equations 10 Theoretical and Mathematical Physics 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Journal of Pure and Applied Algebra 10 Mathematische Nachrichten 10 Results in Mathematics 10 Semigroup Forum 10 Discrete and Continuous Dynamical Systems 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Proceedings of the Japan Academy 9 International Journal of Engineering Science 9 International Journal of Theoretical Physics 9 Linear and Multilinear Algebra 9 Wave Motion 9 Proceedings of the Japan Academy. Series A 9 Theoretical Computer Science 9 Statistics & Probability Letters 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Annals of Mathematics. Second Series 9 Communications of the Korean Mathematical Society 9 Differential Equations ...and 468 more Journals all top 5 Cited in 63 Fields 968 Number theory (11-XX) 431 Special functions (33-XX) 285 Partial differential equations (35-XX) 264 Functions of a complex variable (30-XX) 219 Operator theory (47-XX) 209 Real functions (26-XX) 207 Ordinary differential equations (34-XX) 205 Combinatorics (05-XX) 188 Functional analysis (46-XX) 187 Harmonic analysis on Euclidean spaces (42-XX) 179 Probability theory and stochastic processes (60-XX) 153 Group theory and generalizations (20-XX) 141 Dynamical systems and ergodic theory (37-XX) 129 Differential geometry (53-XX) 126 Integral transforms, operational calculus (44-XX) 104 Measure and integration (28-XX) 101 Numerical analysis (65-XX) 101 Quantum theory (81-XX) 100 Manifolds and cell complexes (57-XX) 85 Computer science (68-XX) 82 Approximations and expansions (41-XX) 82 Relativity and gravitational theory (83-XX) 73 Integral equations (45-XX) 67 Statistical mechanics, structure of matter (82-XX) 63 Algebraic geometry (14-XX) 56 Sequences, series, summability (40-XX) 52 Mechanics of deformable solids (74-XX) 47 Global analysis, analysis on manifolds (58-XX) 47 Fluid mechanics (76-XX) 45 Convex and discrete geometry (52-XX) 44 History and biography (01-XX) 44 Several complex variables and analytic spaces (32-XX) 41 Biology and other natural sciences (92-XX) 40 Statistics (62-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 38 Information and communication theory, circuits (94-XX) 35 Potential theory (31-XX) 35 Difference and functional equations (39-XX) 34 Abstract harmonic analysis (43-XX) 34 Operations research, mathematical programming (90-XX) 33 General topology (54-XX) 30 Nonassociative rings and algebras (17-XX) 25 Systems theory; control (93-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Geometry (51-XX) 22 Mechanics of particles and systems (70-XX) 20 Topological groups, Lie groups (22-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 19 Algebraic topology (55-XX) 19 Astronomy and astrophysics (85-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 16 Field theory and polynomials (12-XX) 14 Commutative algebra (13-XX) 14 Optics, electromagnetic theory (78-XX) 13 Mathematical logic and foundations (03-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 General and overarching topics; collections (00-XX) 9 Associative rings and algebras (16-XX) 8 Geophysics (86-XX) 5 \(K\)-theory (19-XX) 2 General algebraic systems (08-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX) Citations by Year