@prefix p: . @prefix rdfs: . @prefix schema1: . @prefix skos: . @prefix wd: . @prefix wds: . @prefix wdt: . @prefix wdtn: . @prefix wikibase: . @prefix xsd: . wd:Q1789847 rdfs:label "Símbol de Kronecker"@ca, "Kronecker-Symbol"@de, "Kronecker symbol"@en, "simbolo de Kronecker"@eo, "símbolo de Kronecker"@es, "Symbole de Kronecker (théorie des nombres)"@fr, "סימן קרונקר"@he, "Simbolo di Kronecker"@it, "クロネッカーの記号"@ja, "크로네커 기호"@ko, "ခရိုနက်ကာ သင်္ကေတ"@my, "Kronecker-symbool"@nl, "símbolo de Kronecker"@pt, "символ Кронекера — Якоби"@ru, "символ Кронекера — Якобі"@uk, "克罗内克符号"@zh ; schema1:dateModified "2026-09-06T13:44:41+00:00"^^xsd:dateTime ; schema1:description "Verallgemeinerung des Jacobi-Symbols in der Zahlentheorie"@de, "generalization of the Jacobi symbol to all integers"@en, "야코비 기호를 임의의 정수로 확장한 함수"@ko, "Símbolo matemático"@pt ; schema1:version 2541102577 ; wikibase:identifiers 4 ; wikibase:sitelinks 12 ; wikibase:statements 12 ; skos:altLabel "Kroneckersymbol"@de, "simbolo de Kronecker"@es, "クロネッカー記号"@ja, "символ Кронекера"@ru, "символ Кронекера-Якоби"@ru, "символ Кронекера"@uk ; p:P12888 wds:Q1789847-609C5382-0527-46F2-B9AA-CA3E0129B250 ; p:P138 wds:Q1789847-97bbf5f7-4a81-b220-ea32-20b2de0cb6be ; p:P170 wds:Q1789847-a877838c-4d25-571f-969d-2479f569388d ; p:P2534 wds:Q1789847-05e0c5af-4c0d-5aa6-d1fa-ba5df2bfaac4 ; p:P2579 wds:Q1789847-fa365f42-4536-1879-a5a4-c4c033feee0b ; p:P2812 wds:Q1789847-2D6A297F-2EAA-44E7-BE74-2F2D1172D2C3 ; p:P31 wds:Q1789847-48b5733a-479e-a921-0dba-2338252b59f3, wds:Q1789847-9b54977d-4338-4302-656a-9f38e98e6a42 ; p:P571 wds:Q1789847-549af3c1-44aa-0e8e-490d-608621ec57ba ; p:P6104 wds:Q1789847-460A6483-3FD3-46ED-BF82-D301462A8152 ; p:P6366 wds:Q1789847-C6B138E7-456C-492F-80B6-DE5A87CBCD46 ; p:P646 wds:Q1789847-D22D36CC-4429-48E5-8BDB-41ADE030DC5C ; wdtn:P6366 ; wdt:P12888 "df-lgs" ; wdt:P138 wd:Q76410 ; wdt:P170 wd:Q76410 ; wdt:P2534 "

\begin{array}{c} (\frac{a}{u \prod_{i} p_{i}^{e_{i}}}) & = (\frac{a}{u}) \prod_{i} {(\frac{a}{p_{i}})}^{e_{i}} \\ (\frac{a}{0}) & = [a = \pm 1] \\ (\frac{a}{- 1}) & = {\begin{array}{c} 1 & a \geq 0 \\ - 1 & a < 0 \end{array} \\ (\frac{a}{2}) & = {\begin{array}{c} 0 & 2 | a \\ 1 & a \equiv \pm 1 (\mod 8) \\ - 1 & a \equiv \pm 3 (\mod 8) \end{array} \\ (\frac{a}{p}) & \equiv a^{(p - 1) / 2} (\mod p) \end{array}

"^^ ; wdt:P2579 wd:Q12479 ; wdt:P2812 "KroneckerSymbol" ; wdt:P31 wd:Q11348, wd:Q24034552 ; wdt:P571 "1885-01-01T00:00:00+00:00"^^xsd:dateTime ; wdt:P6104 wd:Q8487137 ; wdt:P6366 "177217850" ; wdt:P646 "/m/034cx4" .