Robert Alexander Rankin
#20,943
Most Influential Person Now
Scottish mathematician;
Robert Alexander Rankin's AcademicInfluence.com Rankings
Robert Alexander Rankinmathematics Degrees
Mathematics
#1323
World Rank
#2212
Historical Rank
Measure Theory
#513
World Rank
#722
Historical Rank
Download Badge
Mathematics
Why Is Robert Alexander Rankin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert Alexander Rankin FRSE FRSAMD was a Scottish mathematician who worked in analytic number theory. Life Rankin was born in Garlieston in Wigtownshire the son of Rev Oliver Rankin , minister of Sorbie and his wife, Olivia Theresa Shaw. His father took the name Oliver Shaw Rankin on marriage and became Professor of Old Testament Language, Literature and Theology in the University of Edinburgh.
Robert Alexander Rankin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Modular Forms and Functions (1977) (454)
- Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions (1939) (428)
- The Closest Packing of Spherical Caps in n Dimensions (1955) (217)
- Ramanujan: Letters and Commentary (1995) (168)
- The Man Who Knew Infinity (1992) (95)
- A Minimum Problem for the Epstein Zeta-Function (1953) (92)
- INTRODUCTION TO THE ARITHMETIC THEORY OF AUTOMORPHIC FUNCTIONS (1973) (91)
- Hepatic hemorrhage without rupture in preeclampsia. (1985) (90)
- The Construction of Automorphic Forms From the Derivatives of a Given Form II (1985) (81)
- The Scalar Product of Modular Forms (1952) (77)
- XXIV.—Sets of Integers Containing not more than a Given Number of Terms in Arithmetical Progression (1961) (75)
- Introduction to Calculus and Analysis, Vol. 1 (1965) (69)
- An Θ-result for the coefficients of cusp forms (1973) (58)
- A campanological problem in group theory. II (1966) (57)
- Sums of powers of cusp form coefficients. II (1983) (49)
- On the number of points of a given lattice in a random hypersphere (1953) (47)
- VAN DER CORPUT'S METHOD AND THE THEORY OF EXPONENT PAIRS (1955) (43)
- On the Closest Packing of Spheres in n Dimensions (1947) (43)
- ON THE NUMBER OF ABELIAN GROUPS OF A GIVEN ORDER (1947) (37)
- The zeros of certain Poincaré series (1982) (37)
- The construction of automorphic forms from the derivatives of given forms. (1957) (36)
- Lectures on modular forms (1963) (35)
- The vanishing of Poincaré series (1980) (35)
- Ramanujan: Essays and Surveys (2001) (34)
- Sums of powers of cusp form coefficients (1983) (31)
- On the minimal points of positive definite quadratic forms (1956) (31)
- The Packing of Spheres in the Space lp (1958) (29)
- Symptomatic Gastroesophageal Reflux in the Elderly (1987) (29)
- Value of peritoneoscopy for nonfunctioning continuous ambulatory peritoneal dialysis catheters. (1989) (28)
- On Positive Definite Quadratic Forms (1953) (26)
- Sums of Squares and Cusp Forms (1965) (26)
- Bilateral pneumothoraces complicating peritoneoscopy. (1984) (22)
- On the representation of a number as the sum of any number of squares, and in particular of twenty (1962) (22)
- Ramanujan's Manuscripts and Notebooks, II (1982) (21)
- Diophantine Approximation and Horocyclic Groups (1957) (21)
- Statistical mechanics and partitions into non-integral powers of integers (1951) (20)
- Elementary proofs of relations between Eisenstein series (1977) (20)
- A campanological problem in group theory (1948) (20)
- On Packings of Spheres in Hilbert Space (1955) (18)
- The modular group and its subgroups (1969) (17)
- The mathematical theory of the motion of rotated and unrotated rockets (1949) (15)
- On Horocyclic Groups (1954) (15)
- Hecke operators on congruence subgroups of the modular group (1967) (14)
- Congruence properties of the partition function and associated functions (1952) (14)
- On Sums of Powers of Linear Forms. II (1949) (14)
- Partition theory and thermodynamics of multi-dimensional oscillator assemblies (1951) (13)
- Ramanujan's unpublished work on congruences (1977) (12)
- Mathematical Theory of Rocket Flight (1948) (12)
- An Introduction to Mathematical Analysis (1963) (12)
- A note on the distribution of the different orderings of n objects (1947) (12)
- Chebyshev polynomials and the modulary group of level p (1954) (12)
- Survey: use of clear and full liquid diets with or without commercially produced formulas. (1985) (11)
- George Neville Watson (1966) (11)
- A certain class of multiplicative functions (1946) (11)
- Lattice subgroup of free congruence groups (1967) (11)
- The coefficients of certain integral modular forms (1954) (11)
- Stricture location in Barrett's esophagus. (1984) (11)
- On the minimal points of perfect quadratic forms (1964) (10)
- The first hundred years (1883–1983) (1983) (10)
- IV.—The Differential Equations Associated with the Uniformization of Certain Algebraic Curves (1958) (10)
- The anomaly of convex bodies (1953) (10)
- Topics in Number Theory (1958) (9)
- A family of newforms (1985) (9)
- Burnside's uniformization (1997) (9)
- The Books Studied by Ramanujan in India (2000) (9)
- Fourier coefficients of cusp forms (1986) (8)
- A Cyclic Inequality (1961) (8)
- The Schwarzian derivative and uniformization (1958) (8)
- XXIII.—Representations of a Number as the Sum of a Large Number of Squares (1961) (8)
- Ramanujan as a patient (1984) (7)
- On the representations of a number as a sum of squares and certain related identities (1945) (7)
- Calculus. By T. M. Apostol. Vol. I. One-Variable Calculus, with an Introduction to Linear Algebra. Second edition. Pp. 666. $11.50. 1967. (Blaisdell Publishing Company (1969) (7)
- Subgroups of the modular group generated by parabolic elements of constant amplitude (1971) (7)
- On the propagation of disturbances from moving sources (1951) (6)
- Collected Papers of G. H. Hardy: Including Joint Papers with J. E. Littlewood and others, edited by a Committee appointed by the London Mathematical Society. Vol. 1 (Clarendon Press: Oxford University Press), 700 pp., 105s. (1968) (6)
- 2743. An inequality (1958) (6)
- Accuracy of estimation of colon polyp size. (1988) (5)
- Subgroups of the modular group defined by a single linear congruence (1973) (5)
- Diagonalizing Eisenstein Series. I (1990) (4)
- Isomorphic congruence groups and Hecke operators (1966) (4)
- Change of Variable in an Indefinite Integral (1962) (4)
- Sums of Squares: An Elementary Method (2000) (4)
- Multiplicative functions and operators of Hecke type (1962) (4)
- K. Kuratowski, Introduction to Set Theory and Topology (Pergamon Press, 1961), 283 pp., 45s. (1962) (3)
- Subgroups of the unimodular group defined by a congruence (1979) (3)
- Functions Whose Powers have Non‐Negative Taylor Coefficients (1965) (3)
- Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions (1939) (3)
- The construction of branched covering Riemann surfaces (1958) (3)
- A problem concerning three-dimensional convex bodies (1953) (3)
- Newforms for the modular group on spaces of dimension 2 (1999) (2)
- CONVERGENCE AND UNIFORMITY (1963) (2)
- Cusp Forms of Given Level and Real Weight (1987) (2)
- A preliminary course in analysis (1970) (2)
- Medications for use in patients with enteral feeding tubes. (1987) (2)
- Notes on gas flow through a nozzle (1950) (2)
- Functions Whose Powers have Non‐Negative Taylor Coefficients. II. Corrigenda and Further Results (1966) (2)
- Gertrude Katherine Stanley (1982) (2)
- Generalized Jacobsthal sums and sums of squares (1987) (2)
- A crystal dislocation problem (1961) (2)
- The Fourier Coefficients of Certain Eisenstein Series (1981) (1)
- The Ramanujan family record (2001) (1)
- Notebooks of Srinivasa Ramanujan (1961) (1)
- Treatise on Bessel Functions. By A. Gray and G. B. Mathews. Pp. xiv, 327. 18s. 1966. (Dover.) (1968) (1)
- Srinivasa Ramanujan: the lost notebook and other unpublished papers , edited by S. Raghavan and S. S. Rangachari. Pp. 419. £39. 1988. ISBN 3-540-18726-X (Springer). (1989) (1)
- George Bachman, Introduction to p-Adic Numbers and Valuation Theory (Academic Press, New York, 1964), 173 pp., 24s. 6d. (1966) (1)
- L. K. Hua Introduction to number theory (translated by P. Shiu) (Springer-Verlag, Berlin-Heidelberg-New York, 1982), xviii + 572 pp. DM 96. (1983) (1)
- INTRODUCTION TO COMPLEX ANALYSIS (1971) (1)
- Modular forms and functions: Applications (1977) (1)
- Thomas Murray Macrobert (1964) (1)
- Edward Thomas Copson (1981) (1)
- William Barry Pennington (1969) (1)
- Ramanujan in Madras (1995) (0)
- Waclaw Sierpiński A Selection of Problems in the Theory of Numbers , translated from the Polish by A. Sharma (Popular Lectures in Mathematics, Vol. 11, Pergamon Press, 1964), 126 pp., 30s. (1966) (0)
- After his death (1995) (0)
- Idiomatic Italian composition : a new and practical course of instruction in modern idiomatic Itarian (0)
- ABOUT ILLEGAL IMMIGRANTS IN 1982 (1990) (0)
- FUNDAMENTAL IDEAS AND ASSUMPTIONS (1963) (0)
- Thomas S. Graham (1978) (0)
- L. P. Neuwirth, Knot Groups , Annals of Mathematics Studies No. 56 (Oxford University Press, 1965), vi + 114 pp., 28s. (1968) (0)
- CHAPTER 3 – DIFFERENTIABILITY (1963) (0)
- WHEN DOES AN AFFINE CURVE HAVE AN ALGEBRAIC INTEGER POINT? (2009) (0)
- Modular forms and functions: Bibliography (1977) (0)
- C. A. Rogers, Packing and Covering (Cambridge Tracts in Mathematics and Mathematical Physics, No. 54, Cambridge University Press, 1964), viii + 109 pp., 30s. (1965) (0)
- Westinghouse Idaho Nuclear Company Technology Transfer Program (1994) (0)
- LIMITS AND CONTINUITY (1963) (0)
- Groups of level 2 and sums of squares (1977) (0)
- Letters to the editor (1996) (0)
- C. Blatter, Analysis I, II and III (Heidelberger Taschenbücher, Springer-Verlag, Berlin-Heidelberg New York, 1974), 204 + 180 + 184 pp., each volume $6.10. (1977) (0)
- Modular forms and functions: Hecke operators and congruence groups (1977) (0)
- CIII. A note on a particular type of asymptotic series (1945) (0)
- Memoir: My Cambridge Years (2003) (0)
- Ramanujan returns to India (1995) (0)
- A Feast of Farey Fractions (1951) (0)
- Basic Real and Abstract Analysis. By John F. Randolph. Pp. 615. 130s. 6d. 1968. (Academic Press.) (1970) (0)
- Discrete Groups and Geometry: Diagonalizing Eisenstein series III (1992) (0)
- Functions of a Complex Variable and some of Their Applications, Vol. 1. By B. A. Fuchs and B. V. Shabat. Pp. 431. 70s. 1964. Pergamon. (1966) (0)
- CHAPTER 6 – INTEGRATION (1963) (0)
- FUNCTIONS DEFINED BY POWER SERIES (1963) (0)
- C. B. Haselgrove, and J. C. P. Miller Tables of the Riemann Zeta Function, Royal Society Math. Tables, No. 6 (Cambridge, 1960), 50s. (1961) (0)
- PRM volume 79 issue 3-4 Cover and Front matter (1978) (0)
- Ramanujan is ill (1995) (0)
- A. Aeppli, E. Calabi, and H. Röhrl (Editors), Proceedings of the Conference on Complex Analysis, Minneapolis, 1964 . In English. (Springer-Verlag, Berlin-Heidelberg-New York, 1965), viii + 308 pp. (7 figs.), cloth DM 38. (1968) (0)
- Modular forms and functions: Construction of modular forms (1977) (0)
- E. Grosswald, Representations of integers as sums of squares (Springer-Verlag, 1985) 251 pp., DM 148. (1987) (0)
- [Book Reviews] (1954) (0)
- THE QUADRATIC RECIPROCITY LAW AND THE ELEMENTARY THETA FUNCTION (2009) (0)
- The books studied by Ramanujan in India [ MR1786233 (2002b:01036)] (2001) (0)
- Modular forms and functions: Groups of matrices and bilinear mappings (1977) (0)
- C. G. C. Pitts, Introduction to Metric Spaces (Oliver & Boyd, 1972), £1.50. (1972) (0)
- PRM volume 80 issue 3-4 Cover and Front matter (1978) (0)
- Modular forms and functions: General properties of modular forms (1977) (0)
- PRM volume 77 issue 1-2 Cover and Front matter (1977) (0)
- K. F. Roth, Rational Approximations to Irrational Numbers (University College London Inaugural Lecture) (H. K. Lewis & Co. Ltd., 1962), 13 pp., 3s. 6d. (1963) (0)
- Prof. T. M. MacRobert (1962) (0)
- Modern University Calculus. By Stoughton Bell, J. R. Blum, J. Vernon Lewis and Judah Rosenblatt. Pp. lxix, 905. $12.95. 1966. (Holden–Day, Inc., San Francisco.) (1968) (0)
- Ramanujan’s first two letters to Hardy and Hardy’s responses (1995) (0)
- PRM volume 79 issue 1-2 Cover and Front matter (1977) (0)
- Bruce C. Berndt Ramanujan's Notebooks , Part I (Springer-Verlag, 1985), x + 357 pp. DM 188. (1986) (0)
- PRM volume 83 issue 3-4 Cover and Front matter (1979) (0)
- Extrahepatic bile duct cancer: a review. (1984) (0)
- John Leech (Editor), Computational Problems in Abstract Algebra , Proceedings of a Conference held at Oxford under the auspices of the Science Research Council Atlas Computer Laboratory (Pergamon Press, Oxford, 1970), £7. (1971) (0)
- A Preliminary Course in Analysis. By R. M. F. Moss and G. T. Roberts. Pp. xii, 213. 36s. 1968. (Chapman & Hall.) (1970) (0)
- Ramanujan at Cambridge (1995) (0)
- Exterior Ballistics Of Rockets (1948) (0)
- Advances in Mathematics , volume 1, fascicle 1, 1961, edited by H. Busemann, Academic Press, New York and London, 30s. 6d. (1962) (0)
- Alan Baker, A concise introduction to the theory of numbers (Cambridge University Press, 1984), xii + 95 pp. £15 cloth, £4.95 paper. (1985) (0)
- D. O. Shklarsky, N. N. Chentzov, and I. M. Yaglom, The USSR Olympiad Problem Book ; Revised and edited by Irving Sussman; Translated by John Maykovich (W. H. Freeman and Company, 1962), 452 pp., £3, 3s. (1963) (0)
- PRM volume 78 issue 1-2 Cover and Front matter (1977) (0)
- CHAPTER 4 – INFINITE SERIES (1963) (0)
- University lectures in Madras (2001) (0)
- Advanced Calculus. An Introduction to Analysis. By Watson Fulks. Pp. xv, 597. £5.25 (Wiley.) (1971) (0)
- J. F. Gray, Sets, Relations and Functions (Holt, Rinehart and Winston, London, 1962), 143 pp., 20s. (1963) (0)
- Modular forms and functions: Functions belonging to the full modular group (1977) (0)
- Change Ringing. By Wilfrid G. Wilson. 63S. 1965. (Faber and Faber) (1966) (0)
- Richard Bellman, Analytic Number Theory: An Introduction (The Benjamin/Cummings Publishing Company Inc., 1980), 195 pp., U.S. $19.50. (1982) (0)
- G. H. Hardy, Collected Papers , including joint papers with J. E. Littlewood and others, Vol. II. Edited by a Committee appointed by the London Mathematical Society (Oxford, Clarendon Press, 1968), 702 pp. £6. (1969) (0)
- Wilhelm Magnus; Abraham Karrass; and Donald Solitar, Combinatorial Group Theory (Interscience Publishers, New York, 1966). (1968) (0)
- Automorphic factors and multiplier systems (1977) (0)
- PEM volume 33 issue 3 Cover and Back matter (1990) (0)
- Modular forms and functions: Mapping properties (1977) (0)
- L. V. Ahlfors, and L. Sario, Riemann Surfaces (Princeton University Press, 1960), xi+382 pp., 80s. (1962) (0)
- Number theory and modular forms : papers in memory of Robert A. Rankin (2003) (0)
- A recently discovered letter giving Ramanujan’s examination scores (2001) (0)
- Conversation “I didn’t understand his work, but I knew his worth” (2001) (0)
- Ramanujan’s papers and manuscripts (1995) (0)
- Preparing to go to England (1995) (0)
- Rockets and Space (1949) (0)
- Reply to comments of Drs. Herbstman and Blackstone (1985) (0)
- Medications for use in patients with enteral feeding tubes. (1987) (0)
- E. T. Copson, Metric Spaces, Cambridge Tracts in Mathematics and Mathematical Physics No. 57 (Cambridge University Press, 1968), 30s. (1969) (0)
- Curvilinear momenta in quantum mechanics (1951) (0)
- S. J. Patterson, An introduction to the theory of the Riemann zeta-function (Cambridge studies in advanced mathematics 14, Cambridge University Press 1988), 156 pp. 0 521 33535 3, £20. (1989) (0)
- GMJ volume 27 Cover and Front matter (1985) (0)
- DIRICHLET AND POINCARE SERIES (2009) (0)
- W. K. Hayman, Multivalent Functions (Cambridge University Press, 1958), 168 pp., 27s. 6d. (1959) (0)
- Modular forms and functions: Modular forms of level N (1977) (0)
- Analytic number theory: proceedings of a conference in honour of Paul T. Bateman, edited by B. C. Berndt, H. G. Diamond, H. Halberstam and A. Hildebrand. Pp 558. SuFr88. 1991. ISBN 0-8176-3481-9 (Birkhäuser) (1991) (0)
- A brief biography of Ramanujan (1995) (0)
- Problems for Solution: 5131-5140 (1963) (0)
- W. B. Jones and W. J. Thron Continued Fractions: Analytic Theory and Applications (Encyclopedia of Mathematics Vol. 11, Addison-Wesley, 1980), 428 pp. £20.65. (1982) (0)
- Bruce C. Berndt, Ramanujan's Notebooks , Part II (Springer-Verlag, Berlin–Heidelberg–New York, 1989), 359 pp., 3 540 96794 X, £55. (1990) (0)
- Dispersion relations for a two-channel scattering process: residues of the scattering amplitudes (1963) (0)
- Professor W. B. Pennington (1968) (0)
- Provenance of letters (1995) (0)
This paper list is powered by the following services:
Other Resources About Robert Alexander Rankin
What Schools Are Affiliated With Robert Alexander Rankin?
Robert Alexander Rankin is affiliated with the following schools:
