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On certain expoential and character sums

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Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 938))

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Abstract

An isomorphism theorem connected with a class of exponential sums is first proved. Then, a generalized Salie’s sum defined by

is expressed as the sum of two Gauss sums.

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References

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Krishnaswami Alladi

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© 1982 Springer-Verlag

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Sivaramakrishnan, R., Vijayan, B.K. (1982). On certain expoential and character sums. In: Alladi, K. (eds) Number Theory. Lecture Notes in Mathematics, vol 938. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097181

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  • DOI: https://doi.org/10.1007/BFb0097181

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11568-7

  • Online ISBN: 978-3-540-39279-8

  • eBook Packages: Springer Book Archive

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