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Evaluations of Selberg Character Sums

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Analytic Number Theory

Part of the book series: Progress in Mathematics ((PM,volume 85))

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Abstract

The n-dimensional Selberg character sums L n (A, B, C) are evaluated for all n ≥ 0 when the character C is trivial or quadratic. Additional character sum evaluations related to integral formulas of Selberg are conjectured.

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References

  1. R. Askey and D. Richards, Selberg’s second beta integral and an integral of Mehta, to appear.

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  2. R. Evans, Identities for products of Gauss sums over finite fields, Enseignement Math. 27 (1981), 197–209.

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  3. R. Evans and W. Root, Conjectures for Selberg character sums, J. Rama nujan Math. Soc. 3 (1) 1988, 111–128.

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Dedicated to Paul T. Bateman on his 70th birthday

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© 1990 Bikhäuser Boston

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Autuore, J., Evans, R. (1990). Evaluations of Selberg Character Sums. In: Berndt, B.C., Diamond, H.G., Halberstam, H., Hildebrand, A. (eds) Analytic Number Theory. Progress in Mathematics, vol 85. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3464-7_2

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  • DOI: https://doi.org/10.1007/978-1-4612-3464-7_2

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3481-0

  • Online ISBN: 978-1-4612-3464-7

  • eBook Packages: Springer Book Archive

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