Kloosterman sum

particular kind of exponential sum
Intangible mathematical_concept Q6421354
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Kloosterman sum

Summary

Kloosterman sum is a mathematical concept[1]. It draws 22 Wikipedia views per month (mathematical_concept category, ranking #237 of 1,007).[2]

Key Facts

  • Kloosterman sum's instance of is recorded as mathematical concept[3].
  • Hendrik Kloosterman is named after Kloosterman sum[4].
  • Kloosterman sum's GND ID is recorded as 4309220-2[5].
  • Kloosterman sum's Library of Congress authority ID is recorded as sh87005566[6].
  • Kloosterman sum's Bibliothèque nationale de France ID is recorded as 123927278[7].
  • Kloosterman sum's IdRef ID is recorded as 033017549[8].
  • Kloosterman sum's subclass of is recorded as exponential sum[9].
  • Kloosterman sum's time of discovery or invention is recorded as +1926-00-00T00:00:00Z[10].
  • Kloosterman sum's Freebase ID is recorded as /m/08j9kp[11].
  • Kloosterman sum's FAST ID is recorded as 988037[12].
  • Kloosterman sum's defining formula is recorded as K(a,b,n)=\sum\limits_{k(n)}e \left( \frac{ak+b\bar{k}}{n} \right)[13].
  • Kloosterman sum's defining formula is recorded as K(a,b;m)=\sum_{\stackrel{0\leq x\leq m-1}{\gcd(x,m)=1}} e^{\frac{2\pi i}{m} (ax+bx^*)}.[14].
  • Kloosterman sum's defining formula is recorded as K(u,v,n)\equiv\sum_{h}{exp}\left[\frac{2\pi i(uh+v\bar{h})}{n}\right][15].
  • Kloosterman sum's MathWorld ID is recorded as KloostermansSum[16].
  • Kloosterman sum's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • Kloosterman sum's Microsoft Academic ID is recorded as 34282223[18].
  • Kloosterman sum's National Library of Israel J9U ID is recorded as 987007529832805171[19].
  • Kloosterman sum's OpenAlex ID is recorded as C34282223[20].
  • Kloosterman sum's Yale LUX ID is recorded as concept/d1305e2a-de53-4367-b71d-917e7b32a4fb[21].

Why It Matters

Kloosterman sum draws 22 Wikipedia views per month (mathematical_concept category, ranking #237 of 1,007).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[22]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . Integrated Authority File. Retrieved . wikidata.org.
  4. [6] . Integrated Authority File. Retrieved . wikidata.org.
  5. [7] . Integrated Authority File. Retrieved . wikidata.org.
  6. [8] . SUDOC. Retrieved . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Faceted Application of Subject Terminology. Retrieved . wikidata.org.
  11. [13] . books.google.cat. books.google.cat. Provenance: wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . MathWorld. mathworld.wolfram.com. Provenance: wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . National Library of Israel Names and Subjects Authority File. wikidata.org.
  18. [20] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  19. [21] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] . Wikidata sitelinks. 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 May 3, 2026, from https://4ort.xyz/entity/kloosterman-sum
MLA “Kloosterman sum.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kloosterman sum — https://4ort.xyz/entity/kloosterman-sum (retrieved 2026-05-03)

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