Perfect Powers—An Ode to Erdős, 9789819625987
Hardcover
Can arithmetic progressions yield perfect powers? Erdős’ conjecture explored.

$276.49

  • Hardcover

    184 pages

  • Release Date

    27 April 2025

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Summary

Unveiling Perfect Powers: An Exploration of Erdős’ Enduring Conjecture

The book delves into the fascinating mathematical problem of determining whether a product of integers in arithmetic progression can result in a square or a higher power. This question, seemingly straightforward, is steeped in mathematical theory that has captivated mathematicians for generations. Fermat famously stated the impossibility of four squares forming an arithmetic progression. Euler extended this, prov…

Book Details

ISBN-13:9789819625987
ISBN-10:981962598X
Series:Infosys Science Foundation Series in Mathematical Sciences
Author:Saradha Natarajan
Publisher:Springer Nature Switzerland AG
Imprint:Springer Nature Switzerland AG
Format:Hardcover
Number of Pages:184
Release Date:27 April 2025
Weight:0g
Dimensions:235mm x 155mm
About The Author

Saradha Natarajan

Saradha Natarajan, Elected Fellow of the Indian National Science Academy (INSA), New Delhi India, has been INSA Senior Research Scientist, affiliated with the Department of Atomic Energy (DAE) Centre for Excellence in Basic Sciences, University of Mumbai, until 2023. Formerly, she has been Professor in the School of Mathematics, at the Tata Institute of Fundamental Research, Mumbai, India. She was Post-Doctoral Fellow at Concordia University, Montreal, Canada; Macquarie University, Australia; and the National Board for Higher Mathematics (NBHM), India. She obtained her Ph.D. from the Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India, in 1983, under the guidance of Prof. T. S. Bhanu Murthy. Her area of specialization is number theory, in general, and transcendental number theory and Diophantine equations, in particular.

She has published several papers in several international and Indian journals of repute. She has collaborated with many foreign and Indian mathematicians.

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