Bernoulli's Numbers and Certain Arithmetic Quotient Functions
نویسندگان
چکیده
منابع مشابه
Prime Numbers in Certain Arithmetic Progressions
We discuss to what extent Euclid’s elementary proof of the infinitude of primes can be modified so as to show infinitude of primes in arithmetic progressions (Dirichlet’s theorem). Murty had shown earlier that such proofs can exist if and only if the residue class (mod k ) has order 1 or 2. After reviewing this work, we consider generalizations of this question to algebraic number fields.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1945
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.31.9.310