Character sums: reference request - MathOverflow

Character sums: reference request

2012-04-20T16:42:18Z

This one will be quick...

Wonder if anybody knows or remembers the title of the paper in which Karatsuba introduced his approach at Burgess's bound on character sums.

Thanks for your support.

EDIT. It might have been in "Sums of characters and primitive roots in finite fields". Since this appeared in Russian in Dokl. Akad. Nauk. SSSR, would any of you guys be so kind as to provide us with a review of the translation that, according to MathSciNet, appeared in Soviet Math. Dokl. 9 (1968), 755–757? Thanks again.

ADDED. I've been trying to get a copy of the corresponding issue of the Soviet Mathematics Doklady in the libraries to which I have access (real or virtual). It all has been to no avail. Does any of you know if there is a possibility to get a copy of it through the AMS? I recently took at look at ams.org to find out, but I didn't find info regarding the acquisition of back issues of the said journal.

Answer by Igor Rivin for Character sums: reference request

2012-04-20T18:53:37Z

This is the review, which is not very informative, but there you have it.

Answer by quid for Character sums: reference request

2012-04-20T22:56:27Z

The Zentrallblatt review of the paper in the question, by J.J. Payan, seems to confirm OP's expectation (it is viewable without subscription). It says basically that new methods for the investigation of character sums and distribution of primitive roots are introduced and that results of Burgess (Proc LMS, 1962) are extended.