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Leonard Carlitz

Leonard Carlitz

D-Index & Metrics

Mathematics

D-Index
47
Citations
10337
World Ranking
1255
National Ranking
560

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

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