## Analytic number theoryHarold G. Diamond, American Mathematical Society |

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1970 subject classifications Acta Arith algebraic number field Amer American Mathematical Society AMS 1970 subject analogue assume character character sums class number coefficients complete computed conjecture constant convergence Corollary Davenport Dedekind Dedekind sums Dedekind zeta function defined definition denote Diophantine Dirichlet character Dirichlet series discrepancy divisor elliptic curve Erdos estimate extended fact factor finite G. H. Hardy Hence holds imaginary quadratic implies inequality interval Kubilius large sieve Lemma limit theorem log log logx London Math modulo notation number of points number of primes number theory obtain paper polynomials positive integer prime number problem Proc proof of Theorem prove quadratic fields quadratic forms random variables rational cusps real number Remark replaced residue class Riemann hypothesis satisfies sequence square-free integer strip sufficiently large Suppose totally real uniformly upper bound valid values zero zeta function