The Quarterly Journal of Pure and Applied Mathematics Short Title: Quart. J. Online: http://gdz.sub.uni-goettingen.de/dms/load/toc/?PPN=PPN600494829&IDDOC=646353 Successor: The Quarterly Journal of Mathematics. Oxford Series Comments: Journal; No longer indexed; Merged with Messenger of Mathematics into The Quarterly Journal of Mathematics. Journal abbreviations vary in sources. Documents Indexed: 1,122 Publications (1868–1927) all top 5 Latest Issues 50 (1923-1927) 49 (1920-1923) 48 (1917-1920) 47 (1916/1917) 46 (1915) 45 (1913/1914) 44 (1912/1913) 43 (1912) 42 (1911) 41 (1910) 40 (1908) 39 (1907) 38 (1906) 37 (1905) 36 (1904) 35 (1903) 34 (1902) 33 (1902) 32 (1900) 31 (1900) 30 (1899) 29 (1898) 28 (1896) 27 (1894) 26 (1893) 25 (1891) 24 (1890) 23 (1888) 22 (1887) 21 (1886) 20 (1885) 19 (1883) 18 (1882) 17 (1881) XVI (1879) 15 (1877) 14 (1876) 13 (1874) 12 (1872) 11 (1870/1871) 10 (1869/1870) 9 (1868) all top 5 Authors 124 Cayley, Arthur 98 Glaisher, James Whitbread Lee 49 Walton, William 35 Jeffery, Henry M. 34 Hardy, Godfrey Harold 32 Basset, Alfred Barnard 29 Miller, George Abram 21 Young, William Henry 20 Dickson, Leonard Eugene 18 Cockle, James 18 Dixon, Alfred Cardew 18 Forsyth, Andrew Russell 17 Greenhill, Alfred George 16 Roberts, Samuel 16 Townsend, Robert 15 Muir, Thomas 13 MacMahon, Percy Alexander 13 Richmond, Herbert William 12 Frost, Percival 11 Watson, George Neville 10 Besant, William Henry 10 Jourdain, Philip Edward Bertrand 10 Mathews, George Ballard 10 Weatherburn, Charles Ernest 9 Brill, John 9 Chree, Charles 9 Ferrers, Norman Macleod 8 Barnes, Ernest William 8 Burnside, William 8 Routh, Edward John 8 Warren, J. W. 7 Cunningham, Allan Joseph Champneys 7 Elliott, Edwin Bailey 7 Horner, Joseph 7 Walker, John James 6 Frost, A. H. 6 Hicks, William Mitchinson 6 Jessop, Charles Minshall 6 Young, Grace Chisholm 5 Bromwich, Thomas John I’Anson 5 Chapman, Sydney 5 Johnson, William Woolsey 5 Love, Augustus Edward Hough 5 Mordell, Louis Joel 5 Niven, Charles 5 Pearson, Karl 5 Woodall, Herbert J. 4 Bell, Eric Temple 4 Edwardes, D. 4 Hermann, R. A. 4 Nicholson, J. W. 4 Roberts, R. A. 4 Russel, R. 4 Taylor, Charles 4 Tucker, Robert 4 Walker, George W. 4 Wolstenholme, Joseph 3 Askwith, Edward H. 3 Ball, Robert Stawell 3 Blythe, W. H. 3 Burnside, William Snow 3 Coates, C. V. 3 Crawford, L. 3 Day, Henry George 3 Dyson, Frank Watson 3 Everett, Joseph David 3 Heawood, Percy John 3 Herman, Robert Alfred 3 Hill, M. J. M. 3 Hudson, E. C. 3 Johnson, A. R. 3 Larmor, Joseph 3 Lovett, Edgar Odell 3 Maillet, Edmond 3 Neville, Eric Harold 3 Ramanujan, Srinivasa 3 Scott, Charlotte Angas 3 Sisam, Charles Herschel 3 Stearn, H. T. 3 Watson, Henry William 3 Whipple, Francis John Welsh 3 Wilton, John Raymond 2 Baker, Henry Frederick 2 Bateman, Harry 2 Berry, Arthur 2 Berwick, William Edward Hodgson 2 Brodetsky, Selig 2 Campbell, Donald Francis 2 Carey, Frank Stanton 2 Carmichael, Robert D. 2 Cole, Frank Nelson 2 Cullovin, Th. 2 Darling, H. B. C. 2 Dixon, Arthur Lee 2 Ellis, R. L. 2 Escott, Edward Brind 2 Filon, Louis Napoleon George 2 Fort, Tomlinson 2 Fowler, Ralph Howard 2 Genese, Robert Williams ...and 145 more Authors all top 5 Fields 90 Geometry (51-XX) 72 Number theory (11-XX) 48 Algebraic geometry (14-XX) 37 Real functions (26-XX) 33 Special functions (33-XX) 29 Differential geometry (53-XX) 26 Ordinary differential equations (34-XX) 16 Combinatorics (05-XX) 15 Field theory and polynomials (12-XX) 12 Mechanics of particles and systems (70-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 9 Optics, electromagnetic theory (78-XX) 5 Sequences, series, summability (40-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of deformable solids (74-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 265 Publications have been cited 2,497 times in 2,295 Documents Cited by ▼ Year ▼ On \(q\)-definite integrals. JFM 41.0317.04 Jackson, F. H. 544 1910 Modular equations and approximations to \(\pi\). JFM 45.1249.01 Ramanujan, S. 175 1914 A theorem on trees. JFM 21.0687.01 Cayley, A. 165 1888 The theory of the \(G\)-function. JFM 30.0389.02 Barnes, E. W. 121 1900 The normal number of prime factors of a number \(n\). JFM 46.0262.03 Hardy, G. H.; Ramanujan, S. 119 1917 Map-colour theorem. JFM 22.0562.02 Heawood, P. J. 112 1890 On an unsettled question in the theory of discontinuous groups. JFM 33.0149.01 Burnside, W. 69 1902 On double Fourier series, and especially those which represent the double zeta-function with real and incommensurable parameters. JFM 36.0501.02 Hardy, G. H. 59 1905 On the expression of a number as the sum of two squares. JFM 45.1253.01 Hardy, G. H. 56 1915 The form near infinity of real continuous solutions of a certain differential equation of the second order. JFM 45.0479.01 Fowler, R. H. 33 1914 On the residues of the sums of products of the first \(p 1\) numbers, and their powers, to modulus \(p^2\) or \(p^3\). (On the residues of the sums of products of the first \(p-1\) numbers, and their powers, to modulus \(p^2\) or \(p^3\).) JFM 31.0185.01 Glaisher, J. W. L. 32 1900 On the four colour map theorem. JFM 28.0426.01 Heawood, P. J. 31 1898 On the descent of a sphere in a viscous liquid. JFM 41.0826.01 Basset, A. B. 30 1910 A transformation of generalised hypergeometric series. JFM 41.0503.01 Barnes, E. W. 23 1910 Congruences relating to the sums of products of the first \(n\) numbers and to other sums of products. (Congruences relating to the sums of products of the first \(n\) numbers and to other sums of products.) JFM 30.0180.01 Glaisher, J. W. L. 23 1900 Application of the Newton-Fourier method of an imaginary root of an equation. JFM 11.0067.02 Cayley, A. 23 1879 A note on the coefficients in the expansion of \(\zeta (s,x)\) in powers of \(s-1\). JFM 53.0312.03 Wilton, J. R. 20 1927 On the doubly periodic functions arising out of the curve \(x^3 + y^3 - 3\alpha xy = 1\). JFM 21.0490.01 Dixon, A. C. 20 1890 On the representations of numbers as a sum of \(2^r\) squares. JFM 46.0263.01 Mordell, L. J. 19 1917 Note on Dr. Vacca’s series for \(\gamma\). JFM 43.0530.02 Hardy, G. H. 19 1912 Longitudinal vibrations of a circular bar. JFM 18.0968.01 Chree, C. 19 1886 On a dynamical top. JFM 27.0623.03 Walker, G. T. 18 1896 On the residue of a binomial-theorem coefficient with respect to a prime modulus. JFM 29.0152.03 Glaisher, J. W. L. 17 1899 On the cyclid. (On the Cyclide.) JFM 01.0251.02 Maxwell, J. Clerk 16 1868 On certain series of Mr. Hardy. JFM 50.0160.01 Kluyver, J. C. 15 1924 A new solution of Waring’s problem. JFM 47.0114.01 Hardy, G. H.; Littlewood, J. E. 15 1919 New expressions for Riemann’s functions \(\xi(s)\) and \(\Xi (t)\). JFM 45.1343.05 Ramanujan, S. 14 1915 A theorem concerning Taylor’s series. JFM 44.0476.04 Hardy, G. H. 14 1913 The stability of the motion of a bicycle. JFM 29.0632.03 Whipple, F. J. 14 1899 Theorems on the residues multinomial coefficients with respect to a prime modulus. (Theorems on the residues multinomial coefficients with respect to a prime modulus.) JFM 33.0203.02 Dickson, L. E. 13 1902 On the cyclide. JFM 04.0398.03 Cayley, A. 13 1872 The potentials of ellipsoids of variable densities. JFM 23.1000.01 Dyson, F. W. 13 1891 Theorems and tables on the sum of the divisors of a number. JFM 44.0221.02 Dickson, L. E. 12 1913 Formulae for partitions into given elements derived from Sylvester’s theorem. JFM 40.0235.04 Glaisher, J. W. L. 12 1908 Extension of Lagrange’s equations. JFM 04.0457.01 Ferrers, N. M. 12 1872 On the series for \(\frac 1\pi\) and \(\frac 1{\pi^2}\). JFM 36.0340.01 Glaisher, J. W. L. 11 1905 A theorem concerning the infinite cardinal numbers. JFM 34.0077.02 Hardy, G. H. 11 1903 On linear homogeneous diophantine equations. JFM 34.0219.01 Elliott, E. B. 11 1902 A new series for the Eulerian constant \(\gamma = . 577 \ldots\). JFM 41.0498.04 Vacca, G. 11 1910 The theory of uniformly loaded beams. JFM 31.0760.05 Michell, J. H. 10 1900 On the residues of the sums of the inverse powers of numbers in arithmetical progression. (On the residues of the sums of the inverse powers of numbers in arithmetical progression.) JFM 31.0186.03 Glaisher, J. W. L. 9 1900 A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface. JFM 32.0133.01 Dickson, L. E. 9 1902 On the number of partitions of a number into a given number of parts. JFM 39.0242.01 Glaisher, J. W. L. 9 1908 On the representation of a number as the sum of two, four, six, eight, ten, and twelve squares. JFM 37.0214.03 Glaisher, J. W. L. 9 1906 List of transitive substitution groups of degree twelve. JFM 27.0097.03 Miller, G. A. 9 1896 Sur quelques intégrales définies et leur développement en fractions continues. JFM 22.0297.02 Stieltjes, T.-J. 9 1890 Second approximation to viscous fluid motion. JFM 20.0975.01 Whitehead, A. N. 9 1888 The Stieltjes’ integral and its generalisations. JFM 48.1199.01 Pollard, S. 8 1921 Extension of the planet-problem to a space of \(n\) dimensions and of constant survature. JFM 05.0442.01 Lipschitz, R. 8 1872 The value of the definite integral \(\displaystyle \int \limits _{-\infty }^\infty \dfrac {e^{at^2 + bt}}{e^{ct}+d}\,dt\). JFM 59.0197.02 Mordell, L. J. 7 1920 Abstract definitions of the symmetric and alternating groups and certain other permutation groups. JFM 48.1148.03 Carmichael, R. D. 7 1922 On infinite integrals involving a generalization of the sine and cosine functions. JFM 43.0531.02 Young, W. H. 7 1912 Discontinuous functions continuous with respect to every straight line. JFM 40.0437.03 Young, W. H.; Young, G. C. 7 1910 The maximum modulus of an integral function. JFM 40.0456.02 Hardy, G. H. 7 1910 On families of quadratic forms in general field. JFM 39.0148.01 Dickson, L. E. 7 1907 On the potentials of ellipsoids, ellipsoidal shells, elliptic laminae und elliptic rings of variable densities. JFM 07.0605.03 Ferrers, N. M. 7 1876 On certain series of discontinuous functions connected with the modular functions. JFM 35.0468.03 Hardy, G. H. 6 1904 On differential invariants in geometry of surfaces, with some applications to mathematical physics. JFM 51.0544.07 Weatherburn, C. E. 6 1925 Notes on Bessel functions. JFM 42.0488.02 Nicholson, J. W. 6 1911 On certain oscillating series. JFM 38.0293.01 Hardy, G. H. 6 1906 On the transitive substitution groups of degrees thirteen and fourteen. JFM 28.0125.03 Miller, G. A. 6 1898 On the Bernoullian function. JFM 28.0375.03 Glaisher, J. W. L. 6 1898 Steady motion of a viscous liquid in which an ellipsoid is constrained to rotate about a principal axis. JFM 24.0907.01 Edwardes, D. 6 1893 On the Newtonian potential. JFM 35.0780.02 Dixon, A. C. 5 1903 Researches in the theory of divergent series and divergent integrals. JFM 34.0279.02 Hardy, G. H. 5 1903 On canonical forms. JFM 33.0127.02 Richmond, H. W. 5 1902 The development of the theories of mathematical logic and the principles of mathematics. JFM 43.0097.03 Jourdain, P. E. B. 5 1912 On certain definite integrals considered by Airy and by Stokes. JFM 41.0322.01 Hardy, G. H. 5 1910 On the representations of a number as the sum of fourteen and sixteen squares. JFM 38.0226.01 Glaisher, J. W. L. 5 1906 A class of linear groups including the Abelian group. JFM 30.0142.01 Dickson, L. E. 5 1900 List of the transitive substitution groups of ten and of eleven letters. JFM 25.0206.04 Cole, F. N. 5 1894 Plane vortex motion. JFM 09.0673.01 Greenhill, A. G. 5 1877 On the porism of the in- and circumscribed polygon, and the (2,2) correspondence of points on a conic. JFM 02.0505.01 Cayley, A. 5 1870 On the sums of the inverse powers of the prime numbers. JFM 23.0275.02 Glaisher, J. W. L. 5 1891 On the function \(P_\varrho(x)\). JFM 36.0458.02 Hardy, G. H. 4 1905 On the expressions for the number of classes of a negative determinant, and on the numbers of positives in the octants of \(P\). JFM 34.0243.01 Glaisher, J. W. L. 4 1902 On infinite derivates. An essay. JFM 46.0402.01 Young, G. C. 4 1916 The application of Abel’s method of summation to Dirichlet’s series. JFM 46.0492.01 Hardy, G. H. 4 1916 A general view of the theory of summable series. JFM 42.0268.05 Hardy, G. H.; Chapman, S. 4 1911 Note on an analogue of Gauß’ principle of least constraint. JFM 40.0780.01 Jourdain, Ph. E. B. 4 1908 A note on monotone functions. JFM 40.0438.01 Young, W. H. 4 1910 On the last theorem of Fermat. II. JFM 39.0260.03 Dickson, L. E. 4 1908 On simply transitive groups of prime degree. JFM 37.0172.01 Burnside, W. 4 1905 Theorems in the calculus of operations. JFM 11.0202.03 Crofton 4 1879 On the Algebra of magic squares. (On the Algebra of magic squares.) JFM 02.0099.04 Horner, Joseph 4 1870 On the residues of \(r^{p 1}\) to modulus \(p^2\), \(p^3\) etc. (On the residues of \(r^{p-1}\) to modulus \(p^2\), \(p^3\) etc.) JFM 31.0186.01 Glaisher, J. W. L. 3 1900 An expansion related to Stirling’s formula, derived by the method of steepest descents. JFM 46.0565.01 Watson, G. N. 3 1917 Indeterminate equations of the third and fourth degrees. JFM 45.0300.02 Mordell, L. J. 3 1914 Tables of \(1\pm 2^{-n}+3^{-n}\pm 4^{-n}\;\and\) c. and \(1+3^{- n}+5^{-n}+7^{-n}+\and\) c. to 32 places of decimals. JFM 45.0420.03 Glaisher, J. W. L. 3 1914 The products of Bessel functions. JFM 42.0489.01 Nicholson, J. W. 3 1912 On a method due to Galois. JFM 41.0174.01 Miller, G. A. 3 1910 Logarithmic series. JFM 41.0496.04 Escott, E. B. 3 1910 A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface (Second paper). JFM 39.0198.03 Dickson, L. E. 3 1907 On derivates and the theorem of the mean. JFM 39.0348.03 Young, W. H.; Young, G. C. 3 1908 On generalized Legendre functions. JFM 39.0528.02 Barnes, E. W. 3 1908 On the figure of six points in space of four dimensions. JFM 30.0493.04 Richmond, H. W. 3 1900 On the residue with respect to \(p^{n+1}\) of a binomial-theorem coefficient divisible by \(p^n\). JFM 29.0152.04 Glaisher, J. W. L. 3 1899 The strain in an infinite elastic solid with an ellipsoidal cavity, due to certain surface displacements. JFM 25.1575.01 Edwardes, D. 3 1893 On a special form of determinants and on certain functions of \(n\) variables analogoues to the sine and cosine. JFM 10.0113.01 Glaisher, J. W. L. 3 1879 Example of a special discriminant. (Example of a special discriminant.) JFM 03.0061.02 Cayley, A. 3 1871 A note on the coefficients in the expansion of \(\zeta (s,x)\) in powers of \(s-1\). JFM 53.0312.03 Wilton, J. R. 20 1927 Periodic functions of \(n\) variables connected with an algebraic number field of degree \(n\). JFM 53.0148.02 Bell, E. T. 2 1927 On differential invariants in geometry of surfaces, with some applications to mathematical physics. JFM 51.0544.07 Weatherburn, C. E. 6 1925 On small deformation of surfaces and of thin elastic shells. JFM 51.0553.04 Weatherburn, C. E. 1 1925 On certain series of Mr. Hardy. JFM 50.0160.01 Kluyver, J. C. 15 1924 Abstract definitions of the symmetric and alternating groups and certain other permutation groups. JFM 48.1148.03 Carmichael, R. D. 7 1922 The Stieltjes’ integral and its generalisations. JFM 48.1199.01 Pollard, S. 8 1921 The value of the definite integral \(\displaystyle \int \limits _{-\infty }^\infty \dfrac {e^{at^2 + bt}}{e^{ct}+d}\,dt\). JFM 59.0197.02 Mordell, L. J. 7 1920 An American tournament treated by the calculus of symmetric functions. JFM 47.0090.02 MacMahon, P. A. 2 1920 A new solution of Waring’s problem. JFM 47.0114.01 Hardy, G. H.; Littlewood, J. E. 15 1919 The normal number of prime factors of a number \(n\). JFM 46.0262.03 Hardy, G. H.; Ramanujan, S. 119 1917 On the representations of numbers as a sum of \(2^r\) squares. JFM 46.0263.01 Mordell, L. J. 19 1917 An expansion related to Stirling’s formula, derived by the method of steepest descents. JFM 46.0565.01 Watson, G. N. 3 1917 On infinite derivates. An essay. JFM 46.0402.01 Young, G. C. 4 1916 The application of Abel’s method of summation to Dirichlet’s series. JFM 46.0492.01 Hardy, G. H. 4 1916 Calculation of the first thirty-two Eulerian numbers from central differences of zero. JFM 46.0360.03 Joffe, S. A. 2 1916 An invariant modular equation of the fifth Order. JFM 46.0605.02 Berwick, W. E. H. 2 1916 Note on Perron’s integral and summability-abscissae of Dirichlet’s series. JFM 46.0495.01 Kuniyeda, M. 1 1916 On the expansion of \((1-2r\cos \theta + r^2)^n\) in a series of Legendre functions. JFM 46.0621.04 Chapman, S. 1 1916 On the expression of a number as the sum of two squares. JFM 45.1253.01 Hardy, G. H. 56 1915 New expressions for Riemann’s functions \(\xi(s)\) and \(\Xi (t)\). JFM 45.1343.05 Ramanujan, S. 14 1915 New proofs of the prime-number theorem and similar theorems. JFM 45.1252.02 Hardy, G. H.; Littlewood, J. E. 2 1915 Sums of like powers of natural numbers. JFM 45.1244.02 Joffe, S. A. 1 1915 Correction of an error. JFM 45.1288.03 Hardy, G. H. 1 1915 Vector integral equations of the first kind. JFM 45.1306.03 Weatherburn, C. E. 1 1915 Theta functions in the theory of the modular functions and groups of linear substitutions arising therefrom. JFM 45.1341.01 Mordell, L. J. 1 1915 Un sextactic and allied conics. JFM 45.1360.01 Basset, A. B. 1 1915 Modular equations and approximations to \(\pi\). JFM 45.1249.01 Ramanujan, S. 175 1914 The form near infinity of real continuous solutions of a certain differential equation of the second order. JFM 45.0479.01 Fowler, R. H. 33 1914 Indeterminate equations of the third and fourth degrees. JFM 45.0300.02 Mordell, L. J. 3 1914 Tables of \(1\pm 2^{-n}+3^{-n}\pm 4^{-n}\;\and\) c. and \(1+3^{- n}+5^{-n}+7^{-n}+\and\) c. to 32 places of decimals. JFM 45.0420.03 Glaisher, J. W. L. 3 1914 On the coefficients in the expansions of \(\frac{\cos x}{\cos 2x}\) and \(\frac{\sin x}{\cos 2x}\). JFM 45.0420.04 Glaisher, J. W. L. 2 1914 Modular invariants of the system of a binary cubic, quadratic and linear form. JFM 45.1236.02 Dickson, L. E. 1 1914 On the steady motion and stability of liquid contained in an ellipsoidical vessel. JFM 45.1100.02 Basset, A. B. 1 1914 A theorem concerning Taylor’s series. JFM 44.0476.04 Hardy, G. H. 14 1913 Theorems and tables on the sum of the divisors of a number. JFM 44.0221.02 Dickson, L. E. 12 1913 Second note on the groups generated by operators transforming each other into their inverses. (A correction.). JFM 44.0166.01 Miller, G. A. 2 1913 Oscillating Dirichlet’s integrals. II. JFM 44.0349.01 Hardy, G. H. 1 1913 Note on Dr. Vacca’s series for \(\gamma\). JFM 43.0530.02 Hardy, G. H. 19 1912 On infinite integrals involving a generalization of the sine and cosine functions. JFM 43.0531.02 Young, W. H. 7 1912 The development of the theories of mathematical logic and the principles of mathematics. JFM 43.0097.03 Jourdain, P. E. B. 5 1912 The products of Bessel functions. JFM 42.0489.01 Nicholson, J. W. 3 1912 Generalizations of Euler’s \(\varPhi\)-function, with applications to Abelian groups. JFM 43.0247.01 Carmichael, R. D. 2 1912 Generalisations of a limited theorem of Mr. Mercer. JFM 43.0480.02 Hardy, G. H. 2 1912 On a theorem of Riesz-Fischer. JFM 43.0498.03 Young, W. H.; Young, G. C. 2 1912 The characteristics of asymptotic series. JFM 42.0273.02 Watson, G. N. 2 1912 On \(1^n(x-1)^m + 2^n(x-2)^m + \cdots + (x-1)^n \cdot 1^m\) and other similar series. JFM 43.0340.03 Glaisher, J. W. L. 1 1912 Notes on Bessel functions. JFM 42.0488.02 Nicholson, J. W. 6 1911 A general view of the theory of summable series. JFM 42.0268.05 Hardy, G. H.; Chapman, S. 4 1911 On a generalization of the functions \(\text{ber} x, \text{bei} x, \text{ker} x, \text{kei} x\). JFM 42.0490.01 Whitehead, C. S. 2 1911 Note on modular invariants. JFM 42.0137.01 Dickson, L. E. 1 1911 On non-vanishing forms. JFM 42.0138.01 Dickson, L. E. 1 1911 On \(q\)-definite integrals. JFM 41.0317.04 Jackson, F. H. 544 1910 On the descent of a sphere in a viscous liquid. JFM 41.0826.01 Basset, A. B. 30 1910 A transformation of generalised hypergeometric series. JFM 41.0503.01 Barnes, E. W. 23 1910 A new series for the Eulerian constant \(\gamma = . 577 \ldots\). JFM 41.0498.04 Vacca, G. 11 1910 Discontinuous functions continuous with respect to every straight line. JFM 40.0437.03 Young, W. H.; Young, G. C. 7 1910 The maximum modulus of an integral function. JFM 40.0456.02 Hardy, G. H. 7 1910 On certain definite integrals considered by Airy and by Stokes. JFM 41.0322.01 Hardy, G. H. 5 1910 A note on monotone functions. JFM 40.0438.01 Young, W. H. 4 1910 On a method due to Galois. JFM 41.0174.01 Miller, G. A. 3 1910 Logarithmic series. JFM 41.0496.04 Escott, E. B. 3 1910 On Dr. Vacca’s series for \(\gamma\). JFM 41.0498.05 Glaisher, J. W. L. 2 1910 The development of theories of mathematical logic and the principles of mathematics. JFM 41.0050.03 Jourdain, Ph. E. B. 1 1910 The linear difference equation of the third order and a generalisation of a continued fraction. JFM 41.0370.01 Bateman, H. 1 1910 The calculation of logarithms. JFM 41.0497.01 Escott, E. B. 1 1910 A reciprocal relation between generalised hypergeometric series. JFM 41.0502.03 Hill, M. J. M.; Whipple, F. J. W. 1 1910 Formulae for partitions into given elements derived from Sylvester’s theorem. JFM 40.0235.04 Glaisher, J. W. L. 12 1908 On the number of partitions of a number into a given number of parts. JFM 39.0242.01 Glaisher, J. W. L. 9 1908 Note on an analogue of Gauß’ principle of least constraint. JFM 40.0780.01 Jourdain, Ph. E. B. 4 1908 On the last theorem of Fermat. II. JFM 39.0260.03 Dickson, L. E. 4 1908 On derivates and the theorem of the mean. JFM 39.0348.03 Young, W. H.; Young, G. C. 3 1908 On generalized Legendre functions. JFM 39.0528.02 Barnes, E. W. 3 1908 On commutative linear groups. JFM 40.0186.01 Dickson, L. E. 2 1908 Combinants. JFM 40.0164.01 Dickson, L. E. 1 1908 Note on the groups generated by operators transforming each other into their inverses. JFM 40.0189.01 Miller, G. A. 1 1908 An elementary discussion of Schläfli’s double-six. JFM 40.0699.03 Dixon, A. C. 1 1908 On families of quadratic forms in general field. JFM 39.0148.01 Dickson, L. E. 7 1907 A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface (Second paper). JFM 39.0198.03 Dickson, L. E. 3 1907 Transitive groups of degree \(p = 2q + 1\), \(p\) and \(q\) being prime numbers. JFM 39.0201.02 Miller, G. A. 2 1907 The definition of an infinite integral as the limit of a finite or infinite series. JFM 39.0357.04 Bromwich, T. J. I’A.; Hardy, G. H. 2 1907 Some multiple integrals. JFM 39.0363.02 Hardy, G. H. 1 1907 On elliptic-function expansions in which the coefficients are powers of the complex numbers having \(n\) as norm. JFM 39.0518.01 Glaisher, J. W. L. 1 1907 On the distinction of right and left at points of discontinuity. JFM 38.0420.02 Young, W. H. 1 1907 On the representation of a number as the sum of two, four, six, eight, ten, and twelve squares. JFM 37.0214.03 Glaisher, J. W. L. 9 1906 On certain oscillating series. JFM 38.0293.01 Hardy, G. H. 6 1906 On the representations of a number as the sum of fourteen and sixteen squares. JFM 38.0226.01 Glaisher, J. W. L. 5 1906 Geometrical relations between the roots of \(f(x)=0,\; f'(x)=0\). JFM 37.0098.03 Heawood, P. J. 2 1906 On the singularities of surfaces. JFM 37.0646.02 Basset, A. B. 2 1906 On double Fourier series, and especially those which represent the double zeta-function with real and incommensurable parameters. JFM 36.0501.02 Hardy, G. H. 59 1905 On the series for \(\frac 1\pi\) and \(\frac 1{\pi^2}\). JFM 36.0340.01 Glaisher, J. W. L. 11 1905 On the function \(P_\varrho(x)\). JFM 36.0458.02 Hardy, G. H. 4 1905 On simply transitive groups of prime degree. JFM 37.0172.01 Burnside, W. 4 1905 A type of hyperelliptic curve and the transformations connected with it. JFM 37.0601.03 Bateman, H. 2 1905 On the integral function \(\varPhi_{a,\alpha ,\beta}(x)=\sum_0^{\infty} \frac {x^n}{(n+a)^{\alpha n+\beta}}\). JFM 37.0449.03 Hardy, G. H. 1 1905 On a class of forced oscillations. JFM 37.0733.01 Stephenson, A. 1 1905 On certain series of discontinuous functions connected with the modular functions. JFM 35.0468.03 Hardy, G. H. 6 1904 Determination of all the subgroups of the three highest powers of \(p\) in the group \(G\) of all \(m\)-ary linear homogeneous transformations modulo \(p\). JFM 36.0208.03 Dickson, L. E. 1 1904 On the general equations of mechanics. JFM 35.0716.03 Jourdain, Ph. E. B. 1 1904 On hyperelliptic functions of genus two. JFM 35.0474.02 Dixon, A. L. 1 1904 ...and 165 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,883 Authors 42 Srivastava, Hari Mohan 29 Budak, Hüseyin 27 Berndt, Bruce Carl 24 Guo, Victor J. W. 22 Ali, Muhammad Aamir 20 Darus, Maslina 16 Chu, Yuming 15 Choi, Junesang 15 Khan, Bilal 14 Khan, Nazar 14 Zudilin, Wadim 13 Ahmad, Qazi Zahoor 13 Dixit, Atul 13 Fitouhi, Ahmed 12 Coffey, Mark William 12 Guillera, Jesús 12 Tariboon, Jessada 12 Ye, Dongxi 11 Annaby, Mahmoud H. 11 Aouf, Mohamed Kamal 11 Arif, Muhammad 11 Chan, Heng Huat 11 Nonlaopon, Kamsing 11 Noor, Khalida Inayat 11 Ntouyas, Sotiris K. 11 Schlosser, Michael J. 11 Zaharescu, Alexandru 10 Băleanu, Dumitru I. 10 Pollack, Paul 10 Rezapour, Shahram 10 Saikia, Nipen 10 Tahir, Muhammad 9 Awan, Muhammad Uzair 9 Chu, Wenchang 9 Cooper, Shaun 9 Daher, Radouan 9 Goginava, Ushangi 9 Samei, Mohammad Esmael 8 Ahmad, Bakhtiar 8 Area, Iván 8 Campbell, John Maxwell 8 Chen, Chaoping 8 Das, Sourav 8 Etemad, Sina 8 Jana, Arijit 8 Kalita, Gautam 8 Kalsoom, Humaira 8 Mursaleen, Mohammad 8 Nasiruzzaman, Mohammad 8 Tuna, Hüseyin 7 Al-Omari, Shrideh Khalaf Qasem 7 Allahverdiev, Bilender Paşaoğlu 7 Alp, Necmettin 7 Brahim, Kamel 7 Chen, Yang 7 Dhaouadi, Lazhar 7 Gupta, Vijay 7 Hussain, Saqib 7 Khan, Shahid Ali 7 Liu, Yuji 7 Murty, Maruti Ram 7 Noor, Muhammad Aslam 7 Ringel, Gerhard 7 Sarikaya, Mehmet Zeki 7 Sitthiwirattham, Thanin 7 Sokół, Janusz 7 Sun, Shurong 7 Traustason, Gunnar 7 Tyr, Othman 6 Agarwal, Praveen 6 Bettaibi, Néji 6 Bouzeffour, Fethi 6 Çetinkaya, Asena 6 Elmonser, Hédi Ben 6 Liu, Yu-Ru 6 Mamaev, Ivan Sergeevich 6 Móricz, Ferenc 6 Peletier, Lambertus Adrianus 6 Seoudy, Tamer Mohamed 6 Simsek, Yilmaz 6 Sun, Zhi-Wei 6 Wang, Mingjin 5 Abbas, Mujahid 5 Ansari, Iqrar 5 Araci, Serkan 5 Borisov, Alekseĭ Vladimirovich 5 Borwein, Jonathan Michael 5 Bulut, Serap 5 Cao, Jian 5 Diacu, Florin Nicolae 5 Dilcher, Karl 5 Drensky, Vesselin 5 Dvořák, Zdeněk 5 Erdős, Pál 5 Han, Zhenlai 5 Kashuri, Artion 5 Khan, Khuram Ali 5 Khan, Muhammad Ghaffar 5 Li, Xinhui 5 Lytkina, Dar’ya Viktorovna ...and 2,783 more Authors all top 5 Cited in 521 Journals 85 Journal of Number Theory 77 The Ramanujan Journal 76 Journal of Mathematical Analysis and Applications 59 Advances in Difference Equations 48 Discrete Mathematics 42 Transactions of the American Mathematical Society 37 Applied Mathematics and Computation 36 Proceedings of the American Mathematical Society 33 AIMS Mathematics 26 Journal of Inequalities and Applications 25 Mathematische Zeitschrift 24 Mathematische Annalen 22 Mathematics of Computation 21 Journal of Algebra 21 Journal of Function Spaces 20 Results in Mathematics 19 Journal of Approximation Theory 19 Journal of Combinatorial Theory. Series B 19 Journal of Computational and Applied Mathematics 18 Journal of Combinatorial Theory. Series A 17 Discrete Applied Mathematics 17 Abstract and Applied Analysis 16 Communications in Mathematical Physics 16 Advances in Mathematics 15 International Journal of Number Theory 15 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 14 European Journal of Combinatorics 14 Turkish Journal of Mathematics 13 Rocky Mountain Journal of Mathematics 13 Acta Mathematica 13 Historia Mathematica 13 Regular and Chaotic Dynamics 12 Archive for History of Exact Sciences 12 Mathematical Methods in the Applied Sciences 12 Theoretical Computer Science 12 Advances in Applied Mathematics 12 Computer Aided Geometric Design 12 Linear Algebra and its Applications 12 Filomat 12 Integers 11 Israel Journal of Mathematics 10 Journal of Statistical Physics 10 Mathematical Notes 10 Ukrainian Mathematical Journal 10 Journal of Differential Equations 10 Manuscripta Mathematica 10 Aequationes Mathematicae 10 Journal of Applied Mathematics and Computing 10 Bulletin of the American Mathematical Society 9 Acta Arithmetica 9 Applied Mathematics Letters 9 The Electronic Journal of Combinatorics 9 Multibody System Dynamics 9 Research in Number Theory 8 American Mathematical Monthly 8 Computers & Mathematics with Applications 8 Czechoslovak Mathematical Journal 8 Graphs and Combinatorics 8 Journal of Symbolic Computation 8 Discrete & Computational Geometry 8 Expositiones Mathematicae 8 Journal of Difference Equations and Applications 8 Annals of Combinatorics 8 Journal of High Energy Physics 8 Journal of Classical Analysis 8 Journal of Mathematics 7 Journal of Applied Mathematics and Mechanics 7 Letters in Mathematical Physics 7 Lithuanian Mathematical Journal 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Archiv der Mathematik 7 Duke Mathematical Journal 7 Monatshefte für Mathematik 7 Quaestiones Mathematicae 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Journal of Mathematical Sciences (New York) 7 Boletín de la Sociedad Matemática Mexicana. Third Series 7 Journal of Physics A: Mathematical and Theoretical 7 Journal of Mathematical Inequalities 7 Analysis and Mathematical Physics 7 Afrika Matematika 7 Open Mathematics 6 Acta Mathematica Academiae Scientiarum Hungaricae 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Physics 6 The Mathematical Intelligencer 6 Demonstratio Mathematica 6 Inventiones Mathematicae 6 Mathematica Slovaca 6 Rendiconti del Seminario Matematico della Università di Padova 6 Acta Mathematica Hungarica 6 Bulletin of the American Mathematical Society. New Series 6 Indagationes Mathematicae. New Series 6 Fractals 6 Bulletin des Sciences Mathématiques 6 Integral Transforms and Special Functions 6 Fractional Calculus & Applied Analysis 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Mediterranean Journal of Mathematics ...and 421 more Journals all top 5 Cited in 62 Fields 624 Number theory (11-XX) 473 Combinatorics (05-XX) 436 Special functions (33-XX) 207 Real functions (26-XX) 197 Functions of a complex variable (30-XX) 149 Difference and functional equations (39-XX) 143 Ordinary differential equations (34-XX) 109 Group theory and generalizations (20-XX) 97 Numerical analysis (65-XX) 93 Harmonic analysis on Euclidean spaces (42-XX) 89 Approximations and expansions (41-XX) 82 Partial differential equations (35-XX) 82 Computer science (68-XX) 75 Operator theory (47-XX) 65 Mechanics of particles and systems (70-XX) 64 Dynamical systems and ergodic theory (37-XX) 61 Mechanics of deformable solids (74-XX) 60 History and biography (01-XX) 58 Linear and multilinear algebra; matrix theory (15-XX) 57 Algebraic geometry (14-XX) 49 Integral transforms, operational calculus (44-XX) 46 Quantum theory (81-XX) 43 Probability theory and stochastic processes (60-XX) 38 Statistical mechanics, structure of matter (82-XX) 32 Sequences, series, summability (40-XX) 32 Geometry (51-XX) 28 Fluid mechanics (76-XX) 27 Manifolds and cell complexes (57-XX) 25 Convex and discrete geometry (52-XX) 25 Global analysis, analysis on manifolds (58-XX) 23 Operations research, mathematical programming (90-XX) 21 Functional analysis (46-XX) 21 Statistics (62-XX) 20 Mathematical logic and foundations (03-XX) 18 Commutative algebra (13-XX) 18 Associative rings and algebras (16-XX) 18 Nonassociative rings and algebras (17-XX) 18 Information and communication theory, circuits (94-XX) 16 Differential geometry (53-XX) 15 Integral equations (45-XX) 13 Biology and other natural sciences (92-XX) 12 Measure and integration (28-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Systems theory; control (93-XX) 9 Field theory and polynomials (12-XX) 9 Potential theory (31-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Topological groups, Lie groups (22-XX) 8 Relativity and gravitational theory (83-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 6 Algebraic topology (55-XX) 5 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Mathematics education (97-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Abstract harmonic analysis (43-XX) 3 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) Citations by Year