A Gauss sum is a particular kind of finite sum of roots of unity, typically formed by summing a multiplicative character of a finite field weighted by an additive character such as a root of unity raised to a power depending on the summation index. First studied by Carl Friedrich Gauss in connection with quadratic residues, these sums have a remarkably simple absolute value despite their complex-looking definition, a fact Gauss proved for the classical quadratic case. Gauss sums appear throughout number theory in the study of quadratic reciprocity, L-functions and the functional equations of various zeta and L-series. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Gauss Sum (Wikipedia)
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Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
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1. Gauss Sum (Wikipedia)
In Branch: Algebraic Number Theory, Lead sentenceQuote, In Branch: Algebraic Number Theory, Lead sentence
In algebraic number theory, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically G ( χ ) :=
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