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Primitive root modulo n
(section)
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==Sources== {{refbegin}} * {{cite book | last1 = Bach | first1 = Eric | last2 = Shallit | first2 = Jeffrey | year = 1996 | title = Efficient Algorithms | series = Algorithmic Number Theory | volume = I | publisher = [[The MIT Press]] | location = Cambridge, MA | isbn = 978-0-262-02405-1 }} * {{cite journal | last1 = Carella | first1 = N. A. | year = 2015 | title = Least Prime Primitive Roots | journal = International Journal of Mathematics and Computer Science | volume = 10 | issue = 2 | pages = 185–194 | arxiv=1709.01172 }} The ''[[Disquisitiones Arithmeticae]]'' has been translated from Gauss's Ciceronian Latin into English and German. The German edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations into biquadratic reciprocity, and unpublished notes. *{{cite book | last = Gauss | first = Carl Friedrich | author-link = Carl Friedrich Gauss | translator-last = Clarke | translator-first = Arthur A. | orig-year = 1801 | year = 1986 | title = Disquisitiones Arithmeticae | edition = 2nd, corrected | publisher = [[Springer Science+Business Media|Springer]] | location = New York, NY | isbn = 978-0-387-96254-2 | lang = EN }} *{{cite book | last = Gauss | first = Carl Friedrich | author-link = Carl Friedrich Gauss | translator-last = Maser | translator-first = H. | orig-year = 1801 | year = 1965 | title = Untersuchungen über höhere Arithmetik | edition = 2nd | trans-title = Studies of Higher Arithmetic | publisher = Chelsea | location = New York, NY | isbn = 978-0-8284-0191-3 | lang = DE }} *{{cite book | first = Neville | last = Robbins | year = 2006 | title = Beginning Number Theory | publisher = Jones & Bartlett Learning | isbn = 978-0-7637-3768-9 | url = https://books.google.com/books?id=TtLMrKDsDuIC&pg=PA159 }} *{{cite book | last = Vinogradov | first = I.M. | author-link = Ivan Matveyevich Vinogradov | year = 2003 | title = Elements of Number Theory | chapter = § VI Primitive roots and indices | pages = 105–121 | publisher = Dover Publications | location = Mineola, NY | isbn = 978-0-486-49530-9 | chapter-url = https://books.google.com/books?id=xlIfdGPM9t4C&pg=PA105 }} *{{cite journal | last1 = von zur Gathen | first1 = Joachim | author1-link = Joachim von zur Gathen | last2 = Shparlinski | first2 = Igor | year = 1998 | title = Orders of Gauss periods in finite fields | journal = Applicable Algebra in Engineering, Communication and Computing | volume = 9 | issue = 1 | pages = 15–24 | mr = 1624824 | citeseerx = 10.1.1.46.5504 | s2cid = 19232025 | doi = 10.1007/s002000050093 }} {{refend}}
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