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On the maximum of an exponential sum of the Möbius function

Part of the Lecture Notes in Mathematics book series (LNM,volume 1240)

Abstract

We obtain upper estimates on the maximum of an exponential sum of the Möbius function, that is , under various assumptions. One result is that under the generalized Riemann hypothesis, given ε>0, we have for sufficiently large x, that

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© 1987 Springer-Verlag

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Hajela, D., Smith, B. (1987). On the maximum of an exponential sum of the Möbius function. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072979

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  • DOI: https://doi.org/10.1007/BFb0072979

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17669-5

  • Online ISBN: 978-3-540-47756-3

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