Number Theory Modular Forms: A Textbook for University Physics Students

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The discussion centers on the pursuit of accessible textbooks on modular forms, a topic of interest for a university physics student. Recommendations include the GTM Springer book "A First Course in Modular Forms," noted for its modern approach and relevance to Fermat's theorem applications. An older text by Robert Gunning, titled "Lectures on Modular Forms," is also mentioned, though it lacks contemporary applications. Additionally, Serre's "A Course in Arithmetic" is highlighted for its clarity and readability. The conversation emphasizes the intersection of modular forms with physics, referencing a relevant research paper that showcases their applications in the field.
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I'm studying physics at university, but there has always been one subject in pure maths which always interested me- that is modular forms.
Is there an 'accessible' textbook on this topic? Can anyone recommend one? Is the GTM Springer 'A first course in modular forms' any good?
 
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I found the last chapter of Serre's a course in arithemtic very well written and readable.
 
jqmhelios said:
I'm studying physics at university, but there has always been one subject in pure maths which always interested me- that is modular forms.
Perhaps you would like to know that modular forms have applications in physics, see e.g. https://arxiv.org/abs/2208.07242
 
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