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Consecutive residues and nonresidues of polynomials

✍ Scribed by L. E. Mazur

Publisher: SP MAIK Nauka/Interperiodica
Year: 1970
Tongue: English
Weight: 339 KB
Volume: 7
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01093343

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📜 SIMILAR VOLUMES

On runs of consecutive quadratic residue

On runs of consecutive quadratic residues and quadratic nonresidues

✍ Duncan A. Buell; Richard H. Hudson 📂 Article 📅 1984 🏛 Springer Netherlands 🌐 English ⚖ 265 KB

On sequences of consecutive quadratic no

On sequences of consecutive quadratic nonresidues

✍ Richard H. Hudson 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 162 KB

Patterns of quadratic residues and nonre

Patterns of quadratic residues and nonresidues for infinitely many primes

✍ Steve Wright 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 154 KB

Smallest polynomial nonresidue and incom

Smallest polynomial nonresidue and incomplete Gaussian sums in finite fields

✍ G. I. Perel'muter 📂 Article 📅 1993 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 242 KB

Bernoulli Numbers and Polynomials via Re

Bernoulli Numbers and Polynomials via Residues

✍ I-Chiau Huang; Su-Yun Huang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 139 KB

An algebraic theory of residues is used to evaluate summations of the form Various identities involving Bernoulli numbers and polynomials are derived.

The Incongruence of Consecutive Values o

The Incongruence of Consecutive Values of Polynomials

✍ Pieter Moree 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 325 KB

Suppose that f ʦ ‫͉ޚ‬x͉. Put D f (n) ϭ min͕k Ͼ 0 ͉ f (1), . . . , f (n) are pairwise incongruent modulo k͖. Special cases of this function were previously considered, using methods from elementary number theory. Results from the theory of finite fields are used to prove a theorem that for all f in a