Analytic Number TheoryHarold G. Diamond, American Mathematical Society |
Contents
Effective methods in Diophantine problems II | 1 |
Character transformation formulae similar to those for the Dedekind eta | 9 |
On large sieve type estimates for the Dirichlet series operator | 31 |
Copyright | |
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Common terms and phrases
1970 subject classifications Acta Arith algebraic number field Amer American Mathematical Society AMS 1970 subject analogue assume asymptotic B₁ character character sums class number coefficients computed conjecture constant convergence Corollary Davenport Dedekind Dedekind sums Dedekind zeta function defined denote Dirichlet series divisor elliptic curve equation Erdös estimate factor finite formula Hence holds implies inequality interval K. F. Roth Kubilius large sieve Lemma limit theorem log log log² logx London Math m₁ method modulo N₁ number of points number of primes number theory obtain p₁ polynomials positive integer prime k-tuples conjecture prime number problem Proc proof of Theorem prove quadratic forms R₁ R₂ random variables real number residue class result Riemann hypothesis satisfies sequence strip sufficiently large totally real upper bound values zero zeta function