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many mathematicians he has known and of his own scientific development Revealing
George E Andrews
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11m sup 1dentities algebraic number algebraic number field analytic assume automorphic form Bernoulli numbers Bessel functions best approximations bounded coefficients completes the proof computation congruence conjecture Corollary cusp forms cyclotomy defined denote the number Dirichlet series divisors Entry estimate Euler example exists fact finite follows Fourier series Fuchsian group functional equation G.H. Hardy Hecke operators Hence holomorphic hypothesis implies inequality infinite Ingham's theorem integer L-functions Landau Lemma log log London Math matrix Mellin transform Mertens conjecture modular forms modular group modulo multiplicity notation number theory obtain odd prime p-adic paper pellian equation period polynomial pole positive integer prime factor prime number problem proof of Theorem proved Rademacher Ramanujan real number representations residue result Riemann Riemann zeta function rQ(N satisfies sequence side solutions squarefree Suppose Table theta values zeta function