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Suggestions for Further Reading

  • Chapter
Non-vanishing of L-Functions and Applications

Part of the book series: Progress in Mathematics ((PM,volume 157))

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Abstract

In [Iw], Iwaniec considers a weighted sum

$$ \sum\limits_{D} {{\mu ^{2}}\left( D \right){{L'}_{D}}\left( {1,f} \right)F\left( {D/Y} \right)}$$

where F is a smooth function, compactly supported in ℝ+ with positive mean value. He establishes an asymptotic formula for it of the form

$$ \alpha Y{\text{ }}\log Y{\text{ }} + {\text{ }}\beta Y{\text{ }} + {\text{ }}0({Y^{\tfrac{{13}}{{14}} + \varepsilon }})$$

with some constants α ≠ 0 and β which depend on f and the test function F.

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Authors and Affiliations

  1. Department of Mathematics, Queen’s University, Kingston, Ontario, K7L 3N6, Canada

    M. Ram Murty

  2. Department of Mathematics, University of Toronto, 100 St. George St., Toronto, Ontario, M5S 1A1, Canada

    V. Kumar Murty

Authors
  1. M. Ram Murty
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© 1997 Springer Basel AG

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Murty, M.R., Murty, V.K. (1997). Suggestions for Further Reading. In: Non-vanishing of L-Functions and Applications. Progress in Mathematics, vol 157. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8956-8_9

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  • DOI: https://doi.org/10.1007/978-3-0348-8956-8_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-5801-3

  • Online ISBN: 978-3-0348-8956-8

  • eBook Packages: Springer Book Archive

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