See Dirichlet character on Wiktionary
{
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"form": "Dirichlet characters",
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"senses": [
{
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{
"_dis": "98 2",
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"examples": [
{
"text": "1) χ(ab)=χ(a)χ(b);"
},
{
"text": "2)"
}
],
"glosses": [
"A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b"
],
"id": "en-Dirichlet_character-en-noun-LmdJKCWE",
"links": [
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"raw_glosses": [
"(analytic number theory) A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b:"
],
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"mathematics",
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{
"glosses": [
"3) χ(a+m)=χ(a)."
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"word": "Dirichlet character"
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"forms": [
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"senses": [
{
"examples": [
{
"text": "1) χ(ab)=χ(a)χ(b);"
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"A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b"
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"(analytic number theory) A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b:"
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"glosses": [
"3) χ(a+m)=χ(a)."
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"word": "Dirichlet character"
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Download raw JSONL data for Dirichlet character meaning in All languages combined (1.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-09-20 from the enwiktionary dump dated 2026-09-02 using wiktextract (d6fca27 and 65e1673). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.