Valuations, arithmetic progressions, and prime numbers

12 Feb 2018  ·  Seki Shin-ichiro ·

In this short note, we give two proofs of the infinitude of primes via valuation theory and give a new proof of the divergence of the sum of prime reciprocals by Roth's theorem and Euler-Legendre's theorem for arithmetic progressions...

PDF Abstract
No code implementations yet. Submit your code now

Categories


Number Theory