Tom M. Apostol

19.7k total citations · 5 hit papers
125 papers, 6.8k citations indexed

About

Tom M. Apostol is a scholar working on Geometry and Topology, Algebra and Number Theory and Theoretical Computer Science. According to data from OpenAlex, Tom M. Apostol has authored 125 papers receiving a total of 6.8k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Geometry and Topology, 34 papers in Algebra and Number Theory and 21 papers in Theoretical Computer Science. Recurrent topics in Tom M. Apostol's work include Mathematics and Applications (29 papers), Analytic Number Theory Research (26 papers) and Advanced Mathematical Identities (23 papers). Tom M. Apostol is often cited by papers focused on Mathematics and Applications (29 papers), Analytic Number Theory Research (26 papers) and Advanced Mathematical Identities (23 papers). Tom M. Apostol collaborates with scholars based in United States, Japan and United Kingdom. Tom M. Apostol's co-authors include Mamikon A. Mnatsakanian, David L. Goodstein, Charles H. Holbrow, Douglas R. Anderson, F.E. Cunningham, Ethan D. Bolker, A. B. Arons, A. Sklar, Herbert S. Zuckerman and Steven C. Frautschi and has published in prestigious journals such as Physics Today, Mathematics of Computation and Annals of Mathematics.

In The Last Decade

Tom M. Apostol

110 papers receiving 5.8k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Mathematical analysis

1957 1.7k citations Tom M. Apostol CERN Document Server (European Organization for Nuclear Research) profile →
Introduction to Analytic Number Theory

1976 1.4k citations Tom M. Apostol profile →
Introduction to Analytic Number Theory

1976 811 citations Tom M. Apostol profile →
Mathematical Analysis.

1958 483 citations Tom M. Apostol et al. American Mathematical Monthly profile →
Modular Functions and Dirichlet Series in Number Theory

1990 465 citations Tom M. Apostol profile →

Peers

Tom M. Apostol

ANT

AM

MP

GT

CTM

W. J. Thron United States

William B. Jones United States

Serge Lang United States

Herbert S. Wilf United States

Richard Askey United States

Sergey Fomin United States

Gábor Szegő United States

Edwin Hewitt United States

Jonathan M. Borwein Canada

Harald Niederreiter Austria

W. J. Thron United States

Tom M. Apostol

894 ×0.4

ANT

1.6k ×1.2

AM

1.1k ×0.8

MP

1.1k ×0.9

GT

1.5k ×1.5

CTM

Citations per year, relative to Tom M. Apostol Tom M. Apostol (= 1×) peers W. J. Thron

Countries citing papers authored by Tom M. Apostol

Since Specialization

Citations

This map shows the geographic impact of Tom M. Apostol'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 Tom M. Apostol with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Tom M. Apostol more than expected).

Fields of papers citing papers by Tom M. Apostol

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Tom M. Apostol. 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 Tom M. Apostol. The network helps show where Tom M. Apostol may publish in the future.

Co-authorship network of co-authors of Tom M. Apostol

This figure shows the co-authorship network connecting the top 25 collaborators of Tom M. Apostol. A scholar is included among the top collaborators of Tom M. Apostol 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 Tom M. Apostol. Tom M. Apostol is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Apostol, Tom M. & Mamikon A. Mnatsakanian. (2013). New Balancing Principles Applied to Circumsolids of Revolution, and to n -Dimensional Spheres, Cylindroids,and Cylindrical Wedges. American Mathematical Monthly. 120(4). 298–321. 2 indexed citations

2.

Apostol, Tom M. & Mamikon A. Mnatsakanian. (2010). Tanvolutes: Generalized Involutes. American Mathematical Monthly. 117(8). 701–713. 10 indexed citations

3.

Apostol, Tom M. & Mamikon A. Mnatsakanian. (2008). The method of sweeping tangents. The Mathematical Gazette. 92(525). 396–417. 7 indexed citations

4.

Apostol, Tom M.. (2006). 90.36 Bernoulli’s power-sum formulas revisited. The Mathematical Gazette. 90(518). 276–279. 2 indexed citations

5.

Apostol, Tom M. & Mamikon A. Mnatsakanian. (2004). Centroids Constructed Graphically. Mathematics Magazine. 77(3). 201–201. 1 indexed citations

6.

Apostol, Tom M. & Mamikon A. Mnatsakanian. (2002). Subtangents -- An Aid to Visual Calculus. American Mathematical Monthly. 109(6). 525–525. 4 indexed citations

7.

Apostol, Tom M.. (1992). A century of calculus. 1 indexed citations

8.

Apostol, Tom M.. (1986). On the nonvanishing of homogeneous product sums. Journal of Number Theory. 24(1). 95–106.

9.

Apostol, Tom M.. (1985). Formulas for higher derivatives of the Riemann zeta function. Mathematics of Computation. 44(169). 223–232. 24 indexed citations

10.

Apostol, Tom M.. (1985). Formulas for Higher Derivatives of the Riemann Zeta Function. Mathematics of Computation. 44(169). 223–223. 6 indexed citations

11.

Apostol, Tom M., et al.. (1984). Dirichlet series related to the Riemann zeta function. Journal of Number Theory. 19(1). 85–102. 37 indexed citations

12.

Apostol, Tom M., et al.. (1982). Identities for sums of Dedekind type. Journal of Number Theory. 14(3). 391–396. 13 indexed citations

13.

Apostol, Tom M.. (1977). Selected papers on precalculus.

14.

Apostol, Tom M.. (1975). Explicit Formulas for Solutions of the Second-Order Matrix Differential Equation Y � � + AY. American Mathematical Monthly. 82(2). 159–159. 14 indexed citations

15.

Apostol, Tom M.. (1969). Some Explicit Formulas for the Exponential Matrix e ^tA. American Mathematical Monthly. 76(3). 289–292. 17 indexed citations

16.

Apostol, Tom M.. (1969). Multi-variable calculus and linear algebra, with applications to differential equations and probability. Wiley eBooks. 48 indexed citations

17.

Apostol, Tom M.. (1967). One-variable calculus, with an introduction to linear algebra. John Wiley eBooks. 83 indexed citations

18.

Apostol, Tom M.. (1962). Calculus of several variables with applications to probability and vector analysis. 7 indexed citations

19.

Apostol, Tom M.. (1957). Mathematical Analysis: A Modern Approach to Advanced Calculus.. CERN Document Server (European Organization for Nuclear Research). 151 indexed citations

20.

Apostol, Tom M.. (1951). Remark on the Hurwitz zeta function. Proceedings of the American Mathematical Society. 2(5). 690–693. 3 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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