Topics in Analytic Number TheorySidney W. Graham, Jeffrey D. Vaaler |
Contents
On the Distribution of the Zeros of the Riemann ZetaFunction 175 | 28 |
Remarks on the Difference of Consecutive Numbers Prime to | 42 |
Some Solved and Unsolved Problems of Mine in Number Theory | 59 |
Copyright | |
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analytic number theory apply approximate functional equation assume asymptotic automorphic B₂ coefficients of cusp congruence groups conjecture constant implied cusp forms D₁ defined denote Deshouillers Dirichlet divisor eigenvalues Eisenstein series Erdös error term estimate finite Fourier coefficients functional equation Heath-Brown Hecke Hence holds Hooley integers Iwaniec Kloosterman sums large sieve large sieve inequality lb+n Lemma log log log x log log x/P log z 21 log Z1 log(y/d lower bound mean-value theorem method mod q modular forms modular group Montgomery Note obtain Petersson conjecture Poincaré series polynomial prime factors prime number prime number theorem problem Proc proof proved result Riemann hypothesis Riemann zeta-function satisfying Selberg square free sums of Kloosterman tion Titchmarsh trivial uniformly upper bound V(z₁ values z₁ zeros zeta function μν Σ μ Σ Σ