Truncations of L-functions in residue classes

Igor E. Shparlinski

doi:10.1017/S0017089506003120

Truncations of L-functions in residue classes

Igor E. Shparlinski^*

^*Corresponding author for this work

School of Computing

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

1 Citation (Scopus)

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Abstract

Let χ (n) be a quadratic character modulo a prime p. For a fixed integer s ≠ 0, we estimate certain exponential sums with truncated L-functions L_s,p(n) = ∑ _j=1ⁿ χ(j)/j^s (n = 1, 2, ...). Our estimate implies certain uniformly of distribution properties of reductions of L_s,p(n) in the residue classes modulo p.

Original language	English
Pages (from-to)	347-350
Number of pages	4
Journal	Glasgow Mathematical Journal
Volume	48
Issue number	2
DOIs	https://doi.org/10.1017/S0017089506003120
Publication status	Published - May 2006

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title = "Truncations of L-functions in residue classes",

abstract = "Let χ (n) be a quadratic character modulo a prime p. For a fixed integer s ≠ 0, we estimate certain exponential sums with truncated L-functions Ls,p(n) = ∑ j=1n χ(j)/js (n = 1, 2, ...). Our estimate implies certain uniformly of distribution properties of reductions of Ls,p(n) in the residue classes modulo p.",

author = "Shparlinski, \{Igor E.\}",

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N2 - Let χ (n) be a quadratic character modulo a prime p. For a fixed integer s ≠ 0, we estimate certain exponential sums with truncated L-functions Ls,p(n) = ∑ j=1n χ(j)/js (n = 1, 2, ...). Our estimate implies certain uniformly of distribution properties of reductions of Ls,p(n) in the residue classes modulo p.

AB - Let χ (n) be a quadratic character modulo a prime p. For a fixed integer s ≠ 0, we estimate certain exponential sums with truncated L-functions Ls,p(n) = ∑ j=1n χ(j)/js (n = 1, 2, ...). Our estimate implies certain uniformly of distribution properties of reductions of Ls,p(n) in the residue classes modulo p.

UR - https://www.scopus.com/pages/publications/33747722026

U2 - 10.1017/S0017089506003120

DO - 10.1017/S0017089506003120

M3 - Article

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SN - 0017-0895

VL - 48

SP - 347

EP - 350

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 2

ER -

Truncations of L-functions in residue classes

Abstract

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