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This biographical account of the life and work of David Kendall includes details of his personal and professional activities. Kendall is probably best known for his work in applied probability, especially queueing theory, and in stochastic…

History and Overview · Mathematics 2008-10-08 Geoffrey Grimmett

We give an overview of several works of Victor Katsnelson published in 1965--1970, and pertaining to the complex and harmonic analysis and the spectral theory.

Functional Analysis · Mathematics 2019-10-18 Mikhail Sodin

This is a paper published in 2001 based on a talk given in 1999 celebrating the 50th anniversary of W. N. Bailey's influential q-series paper "Identities of the Rogers-Ramanujan type". In no more than 13 pages I give a brief but reasonably…

Combinatorics · Mathematics 2009-10-14 S. Ole Warnaar

During the course of verifying the results of Ramanujan on hypergeometric series, Berndt in his notebooks, Part II mentioned corrected forms of two of the Ramanujan's results. The aim of this short research note is to point out that one of…

Complex Variables · Mathematics 2013-02-21 Medhat A. Rakha , Adel K. Ibrahim , Arjun K. Rathie

This survey paper offers a concise introduction to Kashiwara's work on $\mathcal{D}$-modules, microlocal analysis and related subjects. In this way, we explain his role in the development of algebraic analysis.

Algebraic Geometry · Mathematics 2026-03-20 Kiyoshi Takeuchi

We present an overview of some significant results of Thurston and their impact on mathematics. The final version of this paper will appear as Chapter 1 of the book "In the tradition of Thurston: Geometry and topology", edited by K. Ohshika…

Geometric Topology · Mathematics 2020-12-09 Ken'Ichi Ohshika , Athanase Papadopoulos

The history of computability theory and and the history of analysis are surprisingly intertwined since the beginning of the twentieth century. For one, \'Emil Borel discussed his ideas on computable real number functions in his introduction…

Logic · Mathematics 2016-07-12 Vasco Brattka

Based at a talk given at the Kato Centennial Symposium in Sept. 2017, this article discusses the scientific life and some of the scientific work of T. Kato.

Mathematical Physics · Physics 2017-10-20 Barry Simon

We discuss the role of combinators in the development of the modern conception of computation over the course of the past century. We describe how ideas about formalism and mathematical logic led to the introduction of combinators in 1920…

Logic in Computer Science · Computer Science 2021-02-22 Stephen Wolfram

In the present Note we have presented some documents to reveal the longstanding relationship of Indian amateur astronomer R. G. Chandra with British Astronomical Association.

History and Philosophy of Physics · Physics 2011-04-08 Sudhindra Nath Biswas , Utpal Mukhopadhyay , Saibal Ray

Published between 1760 and 1770, Bielfeld's writings prove that scholars of the time were acquainted with the concepts of both political arithmetic and German statistik, long before they merged into a new discipline at the beginning the…

History and Overview · Mathematics 2014-10-07 Bernard Ycart

Carmichael quotients for an integer $m\ge 2$ are introduced analogous to Fermat quotients, by using Carmichael function $\lambda(m)$. Various properties of these new quotients are investigated, such as basic arithmetic properties, sequences…

Number Theory · Mathematics 2016-05-03 Min Sha

Telegraphic notes on the historical bibliography of the Gamma function and Eulerian integrals. Correction to some classical references. Some topics of the interest of the author. We provide some extensive (but not exhaustive) bibliography.…

History and Overview · Mathematics 2020-11-25 Ricardo Pérez-Marco

In a recent paper G. Bhatnagar has given simple proofs of some of Ramanujan's continued fractions. In this note we show that some variants of these continued fractions are generating functions of q-Schroeder-like numbers.

History and Overview · Mathematics 2012-10-02 Johann Cigler

This article is a reflection on the mathematical legacy of Professor Petr Simon.

History and Overview · Mathematics 2020-10-22 K. P. Hart , M. Hrusak , J. L. Verner

In some of his final papers, V.I. Arnold studied pseudorandomness properties of finite deterministic sequences, which he measured in terms of their "stochasticity parameter". In the present paper we illustrate the background in probability…

Number Theory · Mathematics 2015-08-20 Christoph Aistleitner

This brief text is in memory of Professor Ivan Kupka. It presents his vision, scientific life, his interest in mathematics and our join collaboration.

History and Overview · Mathematics 2023-10-03 David Holcman

We give a simple proof and a multivariable generalization of an identity due to E. Alkan concerning a weighted average of the Ramanujan sums. We deduce identities for other weighted averages of the Ramanujan sums with weights concerning…

Number Theory · Mathematics 2014-09-23 László Tóth

The notion of number line was formed in XX c. We consider the generation of this conception in works by M. Stiefel (1544), Galilei (1633), Euler (1748), Lambert (1766), Bolzano (1830-1834), Meray (1869-1872), Cantor (1872), Dedekind (1872),…

History and Overview · Mathematics 2017-10-17 Galina Sinkevich

An overview on Masaki Kashiwara's mathematical work since 1970

History and Overview · Mathematics 2018-09-11 Pierre Schapira