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Fourier Series for the Fractional Part
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Acta Arith algebraically independent Amer Analysis Analytic Number Theory asymptotic behavior Average Order Bellman Bibliography and Comments Bull Canad Carlitz change of variable Chap coefficients Cohen Comments Section congruence Consider the function converges Dedekind Sums derive Dirichlet series divisor function Divisor Problem Duke Math elliptic functions Erdos error term estimate Euler Function evaluate Find the order finite Fourier series functional equation Gauss Hardy Hence Identities Indian Math infinite number integral interval inversion formula irreducible Iterates k-Free Integers Laplace transform linear London Math matrices mean value Mellin transform method Miscellaneous Exercises Mobius Function modular transformation Monthly multiplicative arithmetic functions Multiplicative Functions number of solutions obtain order of magnitude Poisson summation formula polynomial prime number theorem Proc proof Prove quadratic Ramanujan Ramanujan's Sum representation residue result Riemann hypothesis sequence Show Squarefree Squarefree Numbers Suryanarayana Tauberian Theorems Theory of Numbers theta functions tion Titchmarsh trigonometric sums zeta