P. H. Diananda

791 total citations
28 papers, 469 citations indexed

About

P. H. Diananda is a scholar working on Applied Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, P. H. Diananda has authored 28 papers receiving a total of 469 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 14 papers in Geometry and Topology and 7 papers in Algebra and Number Theory. Recurrent topics in P. H. Diananda's work include Mathematics and Applications (12 papers), Mathematical Inequalities and Applications (8 papers) and Point processes and geometric inequalities (6 papers). P. H. Diananda is often cited by papers focused on Mathematics and Applications (12 papers), Mathematical Inequalities and Applications (8 papers) and Point processes and geometric inequalities (6 papers). P. H. Diananda collaborates with scholars based in Singapore, Malaysia and United States. P. H. Diananda's co-authors include M. S. Bartlett, Hian Poh Yap, A. Oppenheim, Gerald Porter, M. S. Klamkin and Seymour Haber and has published in prestigious journals such as American Mathematical Monthly, Mathematische Annalen and Mathematical Proceedings of the Cambridge Philosophical Society.

In The Last Decade

P. H. Diananda

23 papers receiving 359 citations

Peers

P. H. Diananda
Charles Hobby United States
C. Ryll–Nardzewski Poland
Gilbert Stengle United States
Arunava Mukherjea United States
Marlow Sholander United States
J. H. Wells United States
G. Baley Price United States
Werner Fenchel
Wojciech Banaszczyk Poland
G. M. Petersen United Kingdom
Charles Hobby United States
P. H. Diananda
Citations per year, relative to P. H. Diananda P. H. Diananda (= 1×) peers Charles Hobby

Countries citing papers authored by P. H. Diananda

Since Specialization
Citations

This map shows the geographic impact of P. H. Diananda's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by P. H. Diananda with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. H. Diananda more than expected).

Fields of papers citing papers by P. H. Diananda

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. H. Diananda. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by P. H. Diananda. The network helps show where P. H. Diananda may publish in the future.

Co-authorship network of co-authors of P. H. Diananda

This figure shows the co-authorship network connecting the top 25 collaborators of P. H. Diananda. A scholar is included among the top collaborators of P. H. Diananda based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with P. H. Diananda. P. H. Diananda is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Diananda, P. H.. (1980). Some inequalities related to an inequality of Mathieu. Mathematische Annalen. 250(3). 95–98. 20 indexed citations
2.
Diananda, P. H.. (1980). Some inequalities related to an inequality of Mathieu. Mathematische Annalen. 250(2). 95–98. 25 indexed citations
3.
Diananda, P. H.. (1973). Some cyclic and other inequalities. III. Mathematical Proceedings of the Cambridge Philosophical Society. 73(1). 69–71.
4.
Diananda, P. H.. (1967). On integers expressible as a sum of two powers, II. Proceedings of the Japan Academy Series A Mathematical Sciences. 43(6).
5.
Diananda, P. H.. (1966). On integers expressible as a sum of two powers. Proceedings of the Japan Academy Series A Mathematical Sciences. 42(10). 1 indexed citations
6.
Diananda, P. H.. (1964). Notes on two lemmas concerning the Epstein zeta-function. Proceedings of the Glasgow Mathematical Association. 6(4). 202–204. 29 indexed citations
7.
Diananda, P. H.. (1963). On some inequalities of H. Kober. Mathematical Proceedings of the Cambridge Philosophical Society. 59(2). 341–346. 8 indexed citations
8.
Diananda, P. H.. (1963). Inequalities for Some Cyclic Sums. Journal of the London Mathematical Society. s1-38(1). 60–62. 3 indexed citations
9.
Diananda, P. H.. (1963). On a cyclic sum. Proceedings of the Glasgow Mathematical Association. 6(1). 11–13. 13 indexed citations
10.
Diananda, P. H.. (1962). On non-negative forms in real variables some or all of which are non-negative. Mathematical Proceedings of the Cambridge Philosophical Society. 58(1). 17–25. 120 indexed citations
11.
Diananda, P. H.. (1962). Some cyclic and other inequalities. II. Mathematical Proceedings of the Cambridge Philosophical Society. 58(4). 703–705. 3 indexed citations
12.
Diananda, P. H.. (1962). A Cyclic Inequality and an Extension of It. I. Proceedings of the Edinburgh Mathematical Society. 13(1). 79–84. 12 indexed citations
13.
Diananda, P. H.. (1962). On rearrangement of series. Mathematical Proceedings of the Cambridge Philosophical Society. 58(1). 158–159. 2 indexed citations
14.
Diananda, P. H.. (1962). Inequalities for a Class of Cyclic and Other Sums. Journal of the London Mathematical Society. s1-37(1). 424–431. 1 indexed citations
15.
Diananda, P. H.. (1962). A Cyclic Inequality and an Extension of it. II. Proceedings of the Edinburgh Mathematical Society. 13(2). 143–152. 8 indexed citations
16.
Diananda, P. H.. (1960). A Simple Proof of the Arithmetic Mean Geometric Mean Inequality. American Mathematical Monthly. 67(10). 1007–1007. 6 indexed citations
17.
Diananda, P. H., et al.. (1959). Mathematical Notes. American Mathematical Monthly. 66(6). 489–497. 1 indexed citations
18.
Diananda, P. H.. (1955). The central limit theorem for m-dependent variables. Mathematical Proceedings of the Cambridge Philosophical Society. 51(1). 92–95. 57 indexed citations
19.
Diananda, P. H. & A. Oppenheim. (1955). Criteria for Irrationality of Certain Classes of Numbers. II. American Mathematical Monthly. 62(4). 222–225. 3 indexed citations
20.
Diananda, P. H. & M. S. Bartlett. (1953). Some probability limit theorems with statistical applications. Mathematical Proceedings of the Cambridge Philosophical Society. 49(2). 239–246. 81 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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