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In this paper I study Ramanujan hypergraps and both abstract and explicit constructions is given.

Number Theory · Mathematics 2007-05-23 Alireza Sarveniazi

Three extraordinary physics discoveries were made from colonial India, which did not have any previous tradition of research in modern physics: Saha ionization equation (1920), Bose statistics (1924), Raman effect (1928). All the three…

History and Philosophy of Physics · Physics 2024-10-02 Arnab Rai Choudhuri

In this article, we describe briefly the highlights and various accomplishments in the personal as well as the academic life of Professor Pranab Kumar Sen.

Statistics Theory · Mathematics 2008-12-18 N. Balakrishnan , Edsel A. Peña , Mervyn J. Silvapulle

A series of formula is presented that are all inspired by the Ramanujan Notebooks [6]. One of them appears in the notebooks II about Zeta(3). That formula inspired others that appeared in 1998, 2006 and 2009 on the author's website and…

Number Theory · Mathematics 2011-03-16 Simon Plouffe

The earliest origins of mathematics in the Indian subcontinent is generally dated around 800-500 BCE when the {\em Sulbasutras} are thought to have been written. In this article we suggest that mathematical thinking in South Asia, in…

History and Overview · Mathematics 2012-01-17 Sitabhra Sinha , Nisha Yadav , Mayank N. Vahia

Shoutir Kishore Chatterjee was born in Ranchi, a small hill station in India, on November 6, 1934. He received his B.Sc. in statistics from the Presidency College, Calcutta, in 1954, and M.Sc. and Ph.D. degrees in statistics from the…

Methodology · Statistics 2007-11-06 Tathagata Banerjee , Rahul Mukerjee

Irving Ezra Segal (1918-1998) has proposed some axioms for mathematical cosmology. These are here re-examined and Segal's redshift formula and energy conservation in the Einstein universe are established in full on their basis. A detailed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Aubert Daigneault

Freeman J. Dyson, a brilliant theoretical physicist and a gifted mathematician, passed away on 28 February 2020 at the age of 96. A vignette of his outstanding contributions to physical sciences, ranging from the subject of quantum…

Popular Physics · Physics 2020-10-16 Patrick Das Gupta

The K\=aty\=ayana \'Sulvasutra has been much less studied or discussed from a modern perspective, even though the first English translation of two adhy\=ayas (chapters) from it, by Thibaut, appeared as far back as 1882. Part of the reason…

History and Overview · Mathematics 2020-06-19 S. G. Dani

On June 2, 2012 it would have been the eighty fifth birthday of Edwald Abramovitch Zavadskii (1927-2005), corresponding member of the National Academy of Sciences, brilliant experimental physicist and a person with a very uncommon and…

Materials Science · Physics 2012-11-30 V. I. Kamenev , V. I. Val'kov , Yu. A Mamaluy

We define bilateral series related to Ramanujan-like series for $1/\pi^2$. Then, we conjecture a property of them and give some applications.

Number Theory · Mathematics 2019-06-05 Jesús Guillera

Few among us would know that the first mention of the sine and the enumeration of the first sine table are to be credited to Aryabhata. The method to generate this relies on the sine difference formula which is derived using ingenious…

History and Overview · Mathematics 2023-09-26 Vijay A. Singh , Aneesh Kumar

We review the life and scientific work of F.V Atkinson, mathematician. The article consists of a brief overview of his academic and professional life followed by an extensive compilation of his life's work, some unpublished. He is best…

Classical Analysis and ODEs · Mathematics 2007-05-23 Angelo B. Mingarelli

We provide finite analogs of a pair of two-variable $q$-series identities from Ramanujan's lost notebook and a companion identity.

Number Theory · Mathematics 2019-01-17 James Mc Laughlin , Andrew V. Sills

Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments follow on the subject, as well as on Inconsistent…

General Mathematics · Mathematics 2009-05-05 Elemer E Rosinger

This paper aims to give a brief account of the mathematical work of the 7th-century Armenian polymath and natural philosopher Anania Shirakatsi. The three sections of Anania's ``Book of Arithmetic'' -- tables of arithmetic operations, a…

History and Overview · Mathematics 2024-04-25 Vahagn Aslanyan

My thesis describes the life and work of the mathematician Major Percy Alexander MacMahon (1854-1929). His early life as as a soldier in the Royal Artillery and the events which led to him embarking on a career in mathematical research and…

History and Overview · Mathematics 2016-07-06 Paul Garcia

This work explores a possible course of evolution of mathematics in ancient times in India when there was no script, no place-value system, and no zero. Reviewing examples of time-reckoning, large numbers, sacrificial altar-making, and…

History and Overview · Mathematics 2024-07-02 Jaidev Dasgupta

Classes started in the newly established Physics Department of Calcutta University Science College in 1916. Raman, Bose and Saha were three young members of the small physics faculty consisting of barely half a dozen faculty members. Within…

History and Philosophy of Physics · Physics 2016-12-14 Arnab Rai Choudhuri

This paper expounds very innovative results achieved between the mid-14th century and the beginning of the 16th century by Indian astronomers belonging to the so-called "M\=adhava school". These results were in keeping with researches in…

History and Overview · Mathematics 2021-04-02 David Pouvreau
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