cubic Gaussian sum

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• Cubic reciprocity — is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q) is solvable; the word reciprocity comes from the form of the main theorem, which states that …   Wikipedia

• Gaussian integer — In number theory, a Gaussian integer is a complex number whose real and imaginary part are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as Z[i]. The… …   Wikipedia

• Gaussian filter — In electronics and signal processing, a Gaussian filter is a filter whose filter window is the Gaussian function:x mapsto sqrt{frac{a}{picdot e^{ a cdot x^2}or with the standard deviation as parameter:x mapsto frac{1}{sqrt{2cdotpi}cdotsigma}cdot… …   Wikipedia

• Kummer sum — In mathematics, Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p , with p congruent to 1 modulo 3. They are named after Ernst Kummer, who made a conjecture about the statistical properties of their arguments, as… …   Wikipedia

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• algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …   Universalium

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• Quadratic reciprocity — The law of quadratic reciprocity is a theorem from modular arithmetic, a branch of number theory, which shows a remarkable relationship between the solvability of certain quadratic equations modulo different prime moduli.Although it allows us to… …   Wikipedia

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