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Kloosterman sum

particular kind of exponential sum
Class type of: exponential sum Q6421354

Facts

6 properties
Instance of
mathematical concept
Subclass of
exponential sum[3]
Defining formula
K(a,b,n)=\sum\limits_{k(n)}e \left( \frac{ak+b\bar{k}}{n} \right), K(a,b;m)=\sum_{\stackrel{0\leq x\leq m-1}{\gcd(x,m)=1}} e^{\frac{2\pi i}{m} (ax+bx^*)}., K(u,v,n)\equiv\sum_{h}{exp}\left[\frac{2\pi i(uh+v\bar{h})}{n}\right]
Maintained by WikiProject
WikiProject Mathematics[5]
Named after
Hendrik Kloosterman[2]
Time of discovery or invention
1926[4]
🏷️ Also known as
en Kloosterman sum fr Somme de Kloosterman ja Kloosterman和 pt soma de Kloosterman ru Суммы Клоостермана sv Kloostermansumma uk суми Клоостермана
🔖 Identifiers · 11
Library of Congress authority ID
sh87005566
GND ID
4309220-2
OpenAlex ID
C34282223
Bibliothèque nationale de France ID
123927278
FAST ID
988037
Freebase ID
/m/08j9kp
IdRef ID
033017549
MathWorld ID
KloostermansSum
Microsoft Academic ID (discontinued)
34282223
National Library of Israel J9U ID
987007529832805171
Yale LUX ID
concept/d1305e2a-de53-4367-b71d-917e7b32a4fb

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🔗 Connections
Created notable works 1
Hendrik Kloosterman
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Hendrik Kloosterman
Subclass of 1
exponential sum
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Summary

Kloosterman sum is a mathematical concept[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Kloosterman sum. Retrieved November 4, 2026, from https://4ort.xyz/entity/kloosterman-sum
MLA “Kloosterman sum.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/kloosterman-sum.
BibTeX @misc{4ortxyz_kloosterman-sum_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kloosterman sum}}, year = {2026}, url = {https://4ort.xyz/entity/kloosterman-sum}, note = {Accessed: 2026-11-04}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 23w ago · Twofivesixbot bot · 2026-05-30 view diff on Wikidata ↗
    Instance of → mathematical concept
    Aliases → —
    Named after → —
    Named after → Hendrik Kloosterman
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ National Library of Israel J9U ID: 987007529832805171, mv to monolingual text names on J9U statements"
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