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Lectures on Modular Forms (Dover Books on Mathematics)

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Book Details

  • Author: Joseph J. Lehner

  • Format: Kindle eBook

  • Binding: Kindle Edition

  • Pages: 96

  • Release Date: 17-05-2017

  • Language: English

About The Book

This concise and accessible volume by Joseph J. Lehner offers an expository account of the theory of modular forms, tailored for advanced undergraduate and graduate students in mathematics. Beginning with classical foundations, the book gradually introduces more modern developments in the field.

It covers essential topics such as modular forms, Hecke modular forms, and the automorphisms of compact Riemann surfaces. The discussion includes arithmetic properties, congruences, and Fourier coefficients of Klein’s absolute modular invariant. The text also explores parallels with Hecke theory and Ramanujan congruences. Each chapter concludes with detailed notes that clarify complex concepts, making this an ideal resource for students looking to deepen their understanding of number theory and analysis.