On the evaluation of brewer’s character sums

Reinaldo E. Giudici; Joseph B. Muskat; Stanley F. Robinsonf

doi:10.1090/S0002-9947-1972-0306122-5

On the evaluation of brewer’s character sums

Reinaldo E. Giudici, Joseph B. Muskat, Stanley F. Robinsonf

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

A decade ago in this journal B. W. Brewer defined a sequence of polynomials Vn(x9 1) and for n —4 and 5 evaluated P 2 U>, x = l X the nonprincipal quadratic character of the prime p, in closed form. A. L Whiteman derived these results by means of cyclotomy. Brewer subsequently defined ^n(xf (?)• This paper applies cyclotomy to the more general polynomials and provides evaluations for several more values of n. Relevant quadratic decompositions of primes are studied.

Original language	English
Pages (from-to)	317-347
Number of pages	31
Journal	Transactions of the American Mathematical Society
Volume	171
DOIs	https://doi.org/10.1090/S0002-9947-1972-0306122-5
State	Published - Sep 1972
Externally published	Yes

Bibliographical note

Funding Information:
The authors would like to acknowledge the contribution from DIVA-GIS, NASA's Surface Meteorology and Solar Energy resource and TNB, Malaysia for the data sources used in this study. Much gratitude is due to the Research Management Centre (RMC), Universiti Putra Malaysia for a research grant under GeranPutraIPB (Vote no. 9412100).

Funding

The authors would like to acknowledge the contribution from DIVA-GIS, NASA's Surface Meteorology and Solar Energy resource and TNB, Malaysia for the data sources used in this study. Much gratitude is due to the Research Management Centre (RMC), Universiti Putra Malaysia for a research grant under GeranPutraIPB (Vote no. 9412100).

Funders	Funder number
DIVA-GIS
Research Management Centre
National Aeronautics and Space Administration
Universiti Putra Malaysia	9412100

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10.1090/S0002-9947-1972-0306122-5

Cite this

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On the evaluation of brewer’s character sums

Abstract

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