Sur une \'equation fonctionnelle approch\'ee due \`a J. R. Wilton
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🧮 math.NT
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equationwiltonfunctionfunctionalgiveallowsapprochapproximate
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We give a new proof of an approximate functional equation, due to J. R. Wilton, for a trigonometric sum involving the divisor function. This allows us to improve on Wilton's error term and to give an explicit formula for an unspecified function involved in the functional equation.
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