Modular Functions In Analytic Number Theory (Ams Chelsea Publishing),New

Modular Functions In Analytic Number Theory (Ams Chelsea Publishing),New

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Knopps Engaging Book Presents An Introduction To Modular Functions In Number Theory By Concentrating On Two Modular Functions, $Eta(Tau)$ And $Vartheta(Tau)$, And Their Applications To Two Numbertheoretic Functions, $P(N)$ And $R_S(N)$. They Are Well Chosen, As At The Heart Of These Particular Applications To The Treatment Of These Specific Numbertheoretic Functions Lies The General Theory Of Automorphic Functions, A Theory Of Farreaching Significance With Important Connections To A Great Many Fields Of Mathematics. The Book Is Essentially Selfcontained, Assuming Only A Good Firstyear Course In Analysis. The Excellent Exposition Presents The Beautiful Interplay Between Modular Forms And Number Theory, Making The Book An Excellent Introduction To Analytic Number Theory For A Beginning Graduate Student.

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Frequently Asked Questions

  • Q: What topics are covered in 'Modular Functions in Analytic Number Theory'? A: The book focuses on modular functions, specifically $\eta(\tau)$ and $\vartheta(\tau)$, and their applications to number-theoretic functions such as $p(n)$ and $r_s(n)$.
  • Q: Is this book suitable for beginners in number theory? A: Yes, it is written for beginning graduate students and assumes only a solid foundation in first-year analysis.
  • Q: What is the condition of the book? A: The book is in new condition, ensuring that readers receive a quality product.
  • Q: How many pages does the book contain? A: The book contains a total of 154 pages.
  • Q: What is the binding type of the book? A: This book is available in hardcover binding, providing durability and a professional appearance.
  • Q: Who is the author of this book? A: The author of 'Modular Functions in Analytic Number Theory' is Marvin I. Knopp.
  • Q: When was this book published? A: The book was published on January 1, 2008.
  • Q: What edition of the book is available? A: This is the 2nd revised edition of the book.
  • Q: Are there any prerequisites for understanding the content? A: Readers should have completed a good first-year course in analysis to grasp the concepts presented in the book.
  • Q: How does this book relate modular functions to other areas of mathematics? A: It explores the connections between modular forms and various fields of mathematics through the general theory of automorphic functions.