Suggestions for Analytic Number Theory textbooks

  • Context: Number Theory 
  • Thread starter Thread starter pcm
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Discussion Overview

The discussion revolves around recommendations for textbooks in Analytic Number Theory (ANT), particularly for those new to the subject. Participants express their preferences and critiques of various texts, focusing on accessibility and motivation in the material.

Discussion Character

  • Debate/contested, Homework-related

Main Points Raised

  • One participant expresses dissatisfaction with Apostol's book, citing a lack of motivation and suggesting it may not be suitable for beginners.
  • Another participant shares a link to suggestions from Math Stack Exchange, indicating a search for alternative resources.
  • Some participants mention finding other books helpful for grasping the basics of ANT, but do not specify which books they prefer.
  • There is a discussion about whether Apostol's book is perceived as boring or terse, with one participant confirming it is terse and noting they have not found a better alternative.
  • Supplementary materials such as Kedlaya's notes and an exposition by Knapp on Dirichlet's theorem are mentioned as useful resources.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best textbook for ANT, with differing opinions on Apostol's book and varying suggestions for alternatives.

Contextual Notes

Some participants express a need for texts that are not too advanced, indicating a potential limitation in the complexity of recommended materials.

Who May Find This Useful

Readers looking for introductory resources in Analytic Number Theory, particularly those seeking alternatives to commonly referenced textbooks.

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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