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Ramanujan, Srinivasa

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Author ID: ramanujan.srinivasa Recent zbMATH articles by "Ramanujan, Srinivasa"
Published as: Ramanujan, S.; Ramanujan, Srinivasa
Further Spellings: Ramanujan Aiyangar, Srinivasa
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 47 Publications since 1911, including 5 Books
1 Contribution as Editor · 1 Further Contribution
Biographic References: 99 Publications
Co-Authors: 3 Co-Authors with 13 Joint Publications
53 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 1,898 times in 1,584 Documents Cited by Year
The Lost Notebook and other unpublished papers. With an introduction by George E. Andrews. Zbl 0639.01023
Ramanujan, Srinivasa
488
1988
Asymptotic formulae in combinatory analysis. JFM 46.0198.04
Hardy, G. H.; Ramanujan, S.
315
1918
Notebooks of Srinivasa Ramanujan. Vols. 1, 2. Zbl 0138.24201
Ramanujan, Srinivasa
186
1957
Modular equations and approximations to \(\pi\). JFM 45.1249.01
Ramanujan, S.
149
1914
Some properties of \(p(n),\) the number of partitions of \(n\). JFM 47.0885.01
Ramanujan, S.
108
1919
The normal number of prime factors of a number \(n\). JFM 46.0262.03
Hardy, G. H.; Ramanujan, S.
104
1917
Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar, B. M. Wilson. JFM 53.0030.02
Ramanujan, S.
89
1927
Proof of certain identities in combinatory analysis. JFM 47.0903.01
Rogers, L. J.; Ramanujan, S.
68
1919
Asymptotic formulae for the distribution of integers of various types. (A problem in the analytic theory of numbers.). JFM 46.0198.03
Hardy, G. H.; Ramanujan, S.
45
1916
Asymptotic formulae in combinatory analysis. JFM 46.0198.02
Hardy, G. H.; Ramanujan, S.
42
1918
Highly composite numbers. JFM 45.1248.01
Ramanujan, S.
36
1915
Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson. With a new preface and commentary by Bruce C. Berndt. Third printing of the 1927 original. Zbl 1110.11001
Ramanujan, Srinivasa
34
2000
On the expression of a number in the form \(ax^2+by^2+cz^2+du^2\). JFM 46.0240.01
Ramanujan, S.
29
1917
Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin. Zbl 0917.11043
Ramanujan, Srinivasa
25
1997
Congruence properties of partitions. JFM 48.0150.02
Ramanujan, S.
23
1920
Highly composite numbers. JFM 45.0286.02
Ramanujan, S.
22
1915
On certain arithmetical functions. Zbl 07426016
Ramanujan, Srinivasa
20
1916
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
18
2018
Some properties of Bernoulli’s numbers. JFM 42.0460.02
Ramanujan, S.
18
1911
Some definite integrals connected with Gauß’ sums. JFM 45.1290.01
Ramanujan, S.
15
1915
New expressions for Riemann’s functions \(\xi(s)\) and \(\Xi (t)\). JFM 45.1343.05
Ramanujan, S.
13
1915
Algebraic relations between certain infinite products. JFM 47.0904.05
Ramanujan, S.
10
1920
Une formule asymptotique pour le nombre des partitions de \(n\). JFM 46.0198.01
Hardy, G. H.; Ramanujan, S.
9
1917
Some formulae in the analytic theory of numbers. JFM 45.1250.01
Ramanujan, S.
9
1915
On the coefficients in the expansions of certain modular functions. JFM 46.1473.05
Hardy, G. H.; Ramanujan, S.
8
1918
On the coefficients in the expansion of certain modular functions. JFM 47.0359.02
Hardy, G. H.; Ramanujan, S.
4
1918
Note on a set of simultaneous equations. JFM 43.0157.01
Ramanujan, S.
3
1912
Irregular numbers. JFM 44.0213.03
Ramanujan, S.
2
1913
Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar, B. M. Wilson. Reprint of the 1927 original. Zbl 1325.01033
Ramanujan, Srinivasa
1
2015
Question Nr. 699. Lösung von Watson. JFM 56.0116.07
Ramanujan, S.
1
1930
Some definite integrals. JFM 47.0908.01
Ramanujan, S.
1
1919
A series for Euler’s constant \(\gamma\). JFM 46.0340.01
Ramanujan, S.
1
1916
Some definite integrals. JFM 45.0464.03
Ramanujan, S.
1
1914
Summation of a certain series. JFM 45.1277.02
Ramanujan, S.
1
1915
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
18
2018
Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar, B. M. Wilson. Reprint of the 1927 original. Zbl 1325.01033
Ramanujan, Srinivasa
1
2015
Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson. With a new preface and commentary by Bruce C. Berndt. Third printing of the 1927 original. Zbl 1110.11001
Ramanujan, Srinivasa
34
2000
Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin. Zbl 0917.11043
Ramanujan, Srinivasa
25
1997
The Lost Notebook and other unpublished papers. With an introduction by George E. Andrews. Zbl 0639.01023
Ramanujan, Srinivasa
488
1988
Notebooks of Srinivasa Ramanujan. Vols. 1, 2. Zbl 0138.24201
Ramanujan, Srinivasa
186
1957
Question Nr. 699. Lösung von Watson. JFM 56.0116.07
Ramanujan, S.
1
1930
Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar, B. M. Wilson. JFM 53.0030.02
Ramanujan, S.
89
1927
Congruence properties of partitions. JFM 48.0150.02
Ramanujan, S.
23
1920
Algebraic relations between certain infinite products. JFM 47.0904.05
Ramanujan, S.
10
1920
Some properties of \(p(n),\) the number of partitions of \(n\). JFM 47.0885.01
Ramanujan, S.
108
1919
Proof of certain identities in combinatory analysis. JFM 47.0903.01
Rogers, L. J.; Ramanujan, S.
68
1919
Some definite integrals. JFM 47.0908.01
Ramanujan, S.
1
1919
Asymptotic formulae in combinatory analysis. JFM 46.0198.04
Hardy, G. H.; Ramanujan, S.
315
1918
Asymptotic formulae in combinatory analysis. JFM 46.0198.02
Hardy, G. H.; Ramanujan, S.
42
1918
On the coefficients in the expansions of certain modular functions. JFM 46.1473.05
Hardy, G. H.; Ramanujan, S.
8
1918
On the coefficients in the expansion of certain modular functions. JFM 47.0359.02
Hardy, G. H.; Ramanujan, S.
4
1918
The normal number of prime factors of a number \(n\). JFM 46.0262.03
Hardy, G. H.; Ramanujan, S.
104
1917
On the expression of a number in the form \(ax^2+by^2+cz^2+du^2\). JFM 46.0240.01
Ramanujan, S.
29
1917
Une formule asymptotique pour le nombre des partitions de \(n\). JFM 46.0198.01
Hardy, G. H.; Ramanujan, S.
9
1917
Asymptotic formulae for the distribution of integers of various types. (A problem in the analytic theory of numbers.). JFM 46.0198.03
Hardy, G. H.; Ramanujan, S.
45
1916
On certain arithmetical functions. Zbl 07426016
Ramanujan, Srinivasa
20
1916
A series for Euler’s constant \(\gamma\). JFM 46.0340.01
Ramanujan, S.
1
1916
Highly composite numbers. JFM 45.1248.01
Ramanujan, S.
36
1915
Highly composite numbers. JFM 45.0286.02
Ramanujan, S.
22
1915
Some definite integrals connected with Gauß’ sums. JFM 45.1290.01
Ramanujan, S.
15
1915
New expressions for Riemann’s functions \(\xi(s)\) and \(\Xi (t)\). JFM 45.1343.05
Ramanujan, S.
13
1915
Some formulae in the analytic theory of numbers. JFM 45.1250.01
Ramanujan, S.
9
1915
Summation of a certain series. JFM 45.1277.02
Ramanujan, S.
1
1915
Modular equations and approximations to \(\pi\). JFM 45.1249.01
Ramanujan, S.
149
1914
Some definite integrals. JFM 45.0464.03
Ramanujan, S.
1
1914
Irregular numbers. JFM 44.0213.03
Ramanujan, S.
2
1913
Note on a set of simultaneous equations. JFM 43.0157.01
Ramanujan, S.
3
1912
Some properties of Bernoulli’s numbers. JFM 42.0460.02
Ramanujan, S.
18
1911
all top 5

Cited by 1,426 Authors

59 Berndt, Bruce Carl
31 Saikia, Nipen
30 Bringmann, Kathrin
26 Chan, Heng Huat
26 Cooper, Shaun
26 Dixit, Atul
24 Zaharescu, Alexandru
23 Andrews, George Eyre
21 Baruah, Nayandeep Deka
21 Guo, Victor J. W.
19 Mahadeva Naika, Megadahalli Sidda
17 Nicolas, Jean-Louis
16 Ono, Ken
16 Vasuki, Kaliyur Ranganna
16 Xia, Ernest X. W.
15 Chen, Chaoping
14 Chu, Wenchang
13 Ismail, Mourad El-Houssieny
13 Merca, Mircea
12 Murty, Maruti Ram
12 Yang, Zhenhang
12 Zudilin, Wadim
11 Adiga, Chandrashekar
11 Chan, Song Heng
11 Garvan, Frank G.
11 Huber, Tim
11 Kane, Ben
11 Ye, Dongxi
10 Chern, Shane
10 Guillera, Jesús
10 Mortici, Cristinel
10 Srivastava, Hari Mohan
10 Yee, Ae Ja
9 Erdős, Pál
9 Gu, Nancy Shan Shan
9 Kang, Soon-Yi
9 Liu, Zhi-Guo
9 Mortenson, Eric T.
9 Pollack, Paul
9 Sohn, Jaebum
9 Tian, Jingfeng
8 Berkovich, Alexander
8 Hirschhorn, Michael D.
8 Kalita, Gautam
8 Kumar, Belakavadi Radhakrishna Srivatsa
8 Lu, Dawei
8 Mahlburg, Karl
8 Maji, Bibekananda
8 Maslov, Viktor Pavlovich
8 Mutafchiev, Lyuben R.
8 Nazaikinskii, Vladimir E.
8 Schlosser, Michael J.
8 Sills, Andrew V.
8 Tang, Dazhao
8 Wang, Liuquan
7 Alkan, Emre
7 Alladi, Krishnaswami
7 Cui, Su-Ping
7 Jana, Arijit
7 Kim, Byungchan
7 Mc Laughlin, James G.
7 Roy, Arindam
7 Toh, Pee Choon
7 Yao, Olivia Xiang Mei
7 Zhang, Ruiming
6 Bhuvan, Eshwar Nalige
6 Borwein, Jonathan Michael
6 Chen, William Yong-Chuan
6 Dousse, Jehanne
6 El Bachraoui, Mohamed
6 Folsom, Amanda L.
6 Gupta, Rajat
6 Harishkumar, Thippeswamy
6 Knopfmacher, John
6 Kumar, Rahul
6 Kurşungöz, Kağan
6 Liu, Yu-Ru
6 Luo, Qiuming
6 Ma, Xinrong
6 Rolen, Larry
6 Sárközy, András
6 Wei, Chuanan
6 Williams, Kenneth S.
6 Yesilyurt, Hamza
6 Zhou, Nian Hong
5 Bowman, Douglas C.
5 Chaudhary, M. P.
5 Ford, Kevin B.
5 Hickerson, Dean R.
5 Huang, Sen-Shan
5 Liaw, Wen-Chin
5 Lovejoy, Jeremy
5 Luca, Florian
5 Petersson, Hans
5 Radu, Cristian-Silviu
5 Rajanna, Karpenahalli Ranganathappa
5 Schultz, Daniel
5 Somashekara, D. D.
5 Turán, Pál
5 Wan, James Gu Feng
...and 1,326 more Authors
all top 5

Cited in 293 Serials

237 The Ramanujan Journal
109 Journal of Number Theory
65 Journal of Mathematical Analysis and Applications
54 International Journal of Number Theory
51 Advances in Mathematics
49 Proceedings of the American Mathematical Society
31 Transactions of the American Mathematical Society
30 Journal of Combinatorial Theory. Series A
26 Discrete Mathematics
22 Advances in Applied Mathematics
21 Research in Number Theory
19 Bulletin of the Australian Mathematical Society
18 Mathematische Annalen
17 Mathematical Notes
16 Results in Mathematics
15 European Journal of Combinatorics
15 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
15 Integers
14 Mathematics of Computation
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Journal of Computational and Applied Mathematics
12 The Electronic Journal of Combinatorics
12 Annals of Combinatorics
12 Journal of High Energy Physics
12 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
11 Indian Journal of Pure & Applied Mathematics
11 Rocky Mountain Journal of Mathematics
11 Research in the Mathematical Sciences
10 Acta Mathematica
10 Applied Mathematics and Computation
10 Archiv der Mathematik
10 Journal of Approximation Theory
10 Mathematische Zeitschrift
9 Acta Arithmetica
9 Functiones et Approximatio. Commentarii Mathematici
9 Monatshefte für Mathematik
8 American Mathematical Monthly
8 International Journal of Mathematics and Mathematical Sciences
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Journal of Inequalities and Applications
7 Lithuanian Mathematical Journal
7 Duke Mathematical Journal
7 Proceedings of the Japan Academy. Series A
7 Journal of Symbolic Computation
7 Boletín de la Sociedad Matemática Mexicana. Third Series
7 Journal of Integer Sequences
6 Discrete Applied Mathematics
6 Journal of Statistical Physics
6 Integral Transforms and Special Functions
6 Acta Mathematica Sinica. English Series
6 Journal of the Australian Mathematical Society
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Afrika Matematika
6 Palestine Journal of Mathematics
5 Communications in Mathematical Physics
5 Journal of Mathematical Physics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Inventiones Mathematicae
5 Acta Mathematica Hungarica
5 Journal of the Ramanujan Mathematical Society
5 Expositiones Mathematicae
5 Journal de Théorie des Nombres de Bordeaux
5 South East Asian Journal of Mathematics and Mathematical Sciences
5 Advances in Difference Equations
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Computers & Mathematics with Applications
4 Israel Journal of Mathematics
4 Nuclear Physics. B
4 Bulletin of the Korean Mathematical Society
4 Algorithmica
4 Bulletin of the American Mathematical Society. New Series
4 Indagationes Mathematicae. New Series
4 Experimental Mathematics
4 Journal of Difference Equations and Applications
4 Analysis and Applications (Singapore)
4 Bulletin of the American Mathematical Society
3 General Relativity and Gravitation
3 Periodica Mathematica Hungarica
3 The Mathematical Intelligencer
3 Bulletin de la Société Mathématique de France
3 Czechoslovak Mathematical Journal
3 Journal of Algebra
3 Journal of Statistical Planning and Inference
3 Kyungpook Mathematical Journal
3 Mathematika
3 Studies in Applied Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3 Graphs and Combinatorics
3 Probability Theory and Related Fields
3 Journal of the American Mathematical Society
3 Forum Mathematicum
3 Numerical Algorithms
3 Aequationes Mathematicae
3 Linear Algebra and its Applications
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 The Australasian Journal of Combinatorics
3 Journal of Algebraic Combinatorics
3 The Journal of Analysis
...and 193 more Serials
all top 5

Cited in 53 Fields

1,197 Number theory (11-XX)
465 Special functions (33-XX)
426 Combinatorics (05-XX)
53 Approximations and expansions (41-XX)
50 Functions of a complex variable (30-XX)
50 Probability theory and stochastic processes (60-XX)
41 Group theory and generalizations (20-XX)
38 Computer science (68-XX)
36 Sequences, series, summability (40-XX)
35 Statistical mechanics, structure of matter (82-XX)
34 Real functions (26-XX)
31 Algebraic geometry (14-XX)
30 Quantum theory (81-XX)
29 History and biography (01-XX)
28 Numerical analysis (65-XX)
20 Nonassociative rings and algebras (17-XX)
16 Relativity and gravitational theory (83-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 Ordinary differential equations (34-XX)
12 Statistics (62-XX)
12 Information and communication theory, circuits (94-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Operations research, mathematical programming (90-XX)
8 Partial differential equations (35-XX)
7 Integral transforms, operational calculus (44-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Field theory and polynomials (12-XX)
6 Difference and functional equations (39-XX)
5 Mathematical logic and foundations (03-XX)
5 Associative rings and algebras (16-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Manifolds and cell complexes (57-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Biology and other natural sciences (92-XX)
4 General and overarching topics; collections (00-XX)
4 Operator theory (47-XX)
4 Systems theory; control (93-XX)
3 Topological groups, Lie groups (22-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Convex and discrete geometry (52-XX)
3 Fluid mechanics (76-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Mathematics education (97-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year

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