World's Best Scientists 2026 revealed!
Leonard Carlitz

Leonard Carlitz

D-Index & Metrics

Discipline name D-Index World Ranking National Ranking Publications Citations
Mathematics 47 1255 561 615 10337

Leonard Carlitz publications per year

The chart shows the history of publications by Leonard Carlitz between 1951 and 2022, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Leonard Carlitz published across 72 years, from 1951 to 2022, averaging 7.8 papers a year. Output peaked at 43 publications in 1953. 1 of the 564 publications appeared in the last two years.

No. of publications
10 20 30 40
Bar chart. Horizontal axis: year, 1951 to 2022. Vertical axis: number of publications, 0 to 43. Peak 43 publications in 1953. 1951: 1 publication 1952: 18 publications 1953: 43 publications 1954: 25 publications 1955: 22 publications 1956: 19 publications 1957: 20 publications 1958: 15 publications 1959: 21 publications 1960: 22 publications 1961: 31 publications 1962: 27 publications 1963: 30 publications 1964: 31 publications 1965: 22 publications 1966: 26 publications 1967: 19 publications 1968: 12 publications 1969: 11 publications 1970: 14 publications 1971: 14 publications 1972: 17 publications 1973: 21 publications 1974: 13 publications 1975: 16 publications 1976: 9 publications 1977: 14 publications 1978: 11 publications 1979: 2 publications 1980: 7 publications 1981: 0 publications 1982: 0 publications 1983: 0 publications 1984: 0 publications 1985: 0 publications 1986: 0 publications 1987: 1 publication 1988: 0 publications 1989: 1 publication 1990: 1 publication 1991: 0 publications 1992: 0 publications 1993: 0 publications 1994: 0 publications 1995: 2 publications 1996: 0 publications 1997: 0 publications 1998: 0 publications 1999: 0 publications 2000: 0 publications 2001: 0 publications 2002: 0 publications 2003: 0 publications 2004: 0 publications 2005: 0 publications 2006: 0 publications 2007: 1 publication 2008: 0 publications 2009: 0 publications 2010: 1 publication 2011: 0 publications 2012: 0 publications 2013: 0 publications 2014: 0 publications 2015: 0 publications 2016: 3 publications 2017: 0 publications 2018: 0 publications 2019: 0 publications 2020: 0 publications 2021: 0 publications 2022: 1 publication
1951 2022

564 publications in total across all disciplines

View publications per year as a table
Leonard Carlitz: publications per year, 1951 to 2022
Year Publications
1951 1
1952 18
1953 43
1954 25
1955 22
1956 19
1957 20
1958 15
1959 21
1960 22
1961 31
1962 27
1963 30
1964 31
1965 22
1966 26
1967 19
1968 12
1969 11
1970 14
1971 14
1972 17
1973 21
1974 13
1975 16
1976 9
1977 14
1978 11
1979 2
1980 7
1981 0
1982 0
1983 0
1984 0
1985 0
1986 0
1987 1
1988 0
1989 1
1990 1
1991 0
1992 0
1993 0
1994 0
1995 2
1996 0
1997 0
1998 0
1999 0
2000 0
2001 0
2002 0
2003 0
2004 0
2005 0
2006 0
2007 1
2008 0
2009 0
2010 1
2011 0
2012 0
2013 0
2014 0
2015 0
2016 3
2017 0
2018 0
2019 0
2020 0
2021 0
2022 1
Total 564
Download as CSV

Leonard Carlitz publications per year - data summary

  • Leonard Carlitz, a Mathematics scholar from Duke University, has 564 publications recorded across 72 years, from 1951 to 2022.
  • The oldest publication on record dates to 1951 and the most recent to 2022.
  • The most productive year is 1953, with 43 publications.
  • The least productive years with any output are 1951, 1987, 1989, 1990 and others, with 1 publication each.
  • 34 of the 72 years in the span carry no publications at all (1981, 1982, 1983, 1984 and others).
  • The rate of publication averages 7.8 papers per year over the whole span, or 14.8 per year counting only the 38 years with at least one publication.
  • The last 5 years on the chart (2018-2022) hold 1 publication, <1% of the career total.
  • Split into equal eras - 1951-1974: 494 publications (20.6 per year); 1975-1998: 64 publications (2.7 per year); 1999-2022: 6 publications (0.3 per year).
  • Comparing the opening and closing eras, the overall trend of publication is declining.

Leonard Carlitz publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Leonard Carlitz sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 537+ publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 615 publications — 98th percentile

98% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100 615
Download as CSV

Leonard Carlitz publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Leonard Carlitz, a Mathematics scholar from Duke University, records 615 publications - the 98th percentile of the discipline.
  • 98% of ranked Mathematics scientists score the same or lower than Leonard Carlitz, and about 2% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Leonard Carlitz ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Leonard Carlitz D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Leonard Carlitz sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 47 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 47 D-Index — 66th percentile

66% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75 47
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Leonard Carlitz D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Leonard Carlitz, a Mathematics scholar from Duke University, records 47 D-Index - the 66th percentile of the discipline.
  • 66% of ranked Mathematics scientists score the same or lower than Leonard Carlitz, and about 34% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Leonard Carlitz ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Overview

Leonard Carlitz was affiliated with Duke University in the United States. Their scholarly contributions were concentrated in the field of Mathematics, with research spanning several subfields including Algebra and Number Theory, Geometry and Topology, and Mathematical Physics.

The scientist's research topics covered multiple areas within mathematics, notably Analytic Number Theory Research, Mathematics and Applications, and Advanced Mathematical Theories.

Leonard Carlitz published in academic journals with a focus on mathematics. The prominent publication venue associated with their work was Publicationes Mathematicae Debrecen.

  • Some finite summation formulas of arithmetic character (2022) published in Publicationes Mathematicae Debrecen

Their recorded research output included at least one paper titled "Some finite summation formulas of arithmetic character," published in 2022. This work contributed to the broader discourse in number theory and arithmetic functions.

  • Publicationes Mathematicae Debrecen

Their scholarship involved no frequent co-author collaborations documented.

Best Publications

  • $q$-Bernoulli numbers and polynomials

    L. Carlitz

  • On certain functions connected with polynomials in a Galois field

    Leonard Carlitz

  • $q$-Bernoulli and Eulerian numbers

    L. Carlitz

  • Eulerian Numbers and Polynomials

    L. Carlitz

  • Some Orthogonal q‐Polynomials

    W. A. Al-Salam;L. Carlitz

  • A degenerate Staudt-Clausen theorem

    L. Carlitz

  • A Combinatorial Property of q-Eulerian Numbers

    L. Carlitz

  • Arithmetic Properties of Generalized Bernoulli Numbers.

    L. Carlitz

  • A CHARACTERIZATION OF ALGEBRAIC NUMBER FIELDS WITH CLASS NUMBER TWO

    Unknown

  • A class of polynomials

    Leonard Carlitz

  • Some theorems on generalized Dedekind sums

    L. Carlitz

  • Advanced Problems: 5600-5609

    L. Carlitz;A. Wilansky;John Milnor;R. A. Struble

  • The Arithmetic of Polynomials in a Galois Field

    Leonard Carlitz

  • Explicit evaluation of certain exponential sums.

    Unknown

  • Some polynomials related to theta functions

    L. Carlitz

  • Bounds for exponential sums

    Unknown

  • On abelian fields

    Leonard Carlitz

  • Note on the Integral of the Product of Several Bernoulli Polynomials

    L. Carlitz

  • Permutations with prescribed pattern

    L. Carlitz

  • MAILLET'S DETERMINANT

    L. Carlitz;F. R. Olson

  • A note on the Bessel polynomials

    L. Carlitz

  • Generalized Eulerian numbers combinatorial applications.

    Richard Scoville;L. Carlitz

  • Enumeration of pairs of sequences by rises, falls and levels

    L. Carlitz;Richard Scoville;Theresa Vaughan

Frequent Co-Authors

Paul Erdös
Paul Erdös Hungarian Academy of Sciences
Kurt Mahler
Kurt Mahler Australian National University
Marvin Marcus
Marvin Marcus University of California, Santa Barbara
George B. Dantzig
George B. Dantzig Stanford University
Azriel Rosenfeld
Azriel Rosenfeld University of Maryland, College Park
David W. Boyd
David W. Boyd University of British Columbia

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics who want to expand their career options, exploring related online degrees can be highly beneficial. Many professionals complement their math background with business skills by pursuing year long MBA programs. These programs offer an intensive curriculum that can be completed quickly, allowing for a faster transition into leadership roles.

When considering an MBA, it’s also important to know that some programs accept transfer credits, which can shorten the time and reduce the cost of earning the degree. You can find more about this flexibility by researching can you transfer credits into an MBA program. This option is ideal for working professionals or those with prior graduate coursework.

Beyond business degrees, students with a mathematical foundation might find advanced studies in data highly rewarding. Pursuing a master's degree in data analytics equips graduates with skills to interpret complex data sets and make informed decisions. For more on this, check out top analytics masters programs.

Lastly, those seeking accessible graduate programs may want to consider options among the easy MBA programs to get into. These programs can provide flexible admissions criteria and are designed for students eager to enhance their credentials without the stress of competitive acceptance rates.

Best Scientists Citing Leonard Carlitz

Recently Published Articles