Suggestions for Analytic Number Theory textbooks

  • Context: Number Theory 
  • Thread starter Thread starter pcm
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SUMMARY

The discussion focuses on recommendations for introductory textbooks in Analytic Number Theory (ANT), specifically seeking alternatives to Apostol's book, which some find lacking in motivation. Participants suggest using Kedlaya's notes as a supplementary resource and highlight a favorable exposition on Dirichlet's theorem by Knapp. The conversation emphasizes the need for accessible materials suitable for beginners in ANT.

PREREQUISITES
  • Familiarity with basic number theory concepts
  • Understanding of mathematical proofs and logic
  • Knowledge of calculus and real analysis
  • Exposure to introductory texts in number theory
NEXT STEPS
  • Explore Kedlaya's notes on Analytic Number Theory
  • Read the exposition on Dirichlet's theorem by Knapp
  • Investigate other beginner-friendly ANT textbooks
  • Review discussions on Math Stack Exchange regarding ANT resources
USEFUL FOR

Students and educators new to Analytic Number Theory, individuals seeking effective learning resources, and anyone looking to supplement their understanding of foundational concepts in number theory.

pcm
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Something other than Apostol's book which I find lacking in motivation. Not too advanced, since it is my first encounter with ANT.
 
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pcm said:
Something other than Apostol's book which I find lacking in motivation. Not too advanced, since it is my first encounter with ANT.
I found this book excellent to get the basics down.

Do you just find it as a boring read, or terse?
 
MidgetDwarf said:
I found this book excellent to get the basics down.

Do you just find it as a boring read, or terse?
Terse. I checked other books and I didn't find one that was better. I am using this book for now and supplementing it with Kedlaya's notes, and for Dirichlet's theorem I found a nice exposition by Knapp.
 

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