Character sum information

In mathematics, a character sum is a sum ∑ χ ( n ) {\textstyle \sum \chi (n)} of values of a Dirichlet character χ modulo N, taken over a given range of...

addends or summands; the result is their sum or total. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials...

Dim sum (traditional Chinese: 點心; simplified Chinese: 点心; pinyin: diǎn xīn; Jyutping: dim2 sam1) is a large range of small Chinese dishes that are traditionally...

In algebraic number theory, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically G ( χ ) := G ( χ , ψ ) = ∑ χ (...

_{1}}.} See theta series of a Dirichlet character for another example. The Gauss sum of a Dirichlet character modulo N is G ( χ ) = ∑ a = 1 N χ ( a )...

Sumer (/ˈsuːmər/) is the earliest known civilization, located in the historical region of southern Mesopotamia (now south-central Iraq), emerging during...

partial sums approximate a Cornu spiral; this implies massive cancellation. Auxiliary types of sums occur in the theory, for example character sums; going...

Jacobi sum is a type of character sum formed with Dirichlet characters. Simple examples would be Jacobi sums J(χ, ψ) for Dirichlet characters χ, ψ modulo...

with coefficients given by a quadratic character; for a general character, one obtains a more general Gauss sum. These objects are named after Carl Friedrich...

In mathematics, Brewer sums are finite character sum introduced by Brewer (1961, 1966) related to Jacobsthal sums. The Brewer sum is given by Λ n ( a )...

refer to: People with the surname Jacobi Mathematics: Jacobi sum, a type of character sum Jacobi method, a method for determining the solutions of a diagonally...

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the direct sum of subrepresentations, then the corresponding character is the sum of the characters of those subrepresentations. If a character of the finite...

}(H){\sum _{w\in W}\varepsilon (w)e^{w(\rho )(H)}}=\sum _{w\in W}\varepsilon (w)e^{w(\lambda +\rho )(H)}.} The character is itself a large sum of exponentials...

such a character is given, we define the corresponding Dirichlet L-function by L ( χ , s ) = ∑ n = 1 ∞ χ ( n ) n s {\displaystyle L(\chi ,s)=\sum _{n=1}^{\infty...

check character as the last character) is: bool ValidateCheckCharacter(string input) { int factor = 1; int sum = 0; int n = NumberOfValidInputCharacters();...

fields and the theory has many applications including exponential and character sum estimates. Finite fields have widespread application in combinatorics...

nonprincipal Dirichlet character χ(n) modulo q and any integers M and N, | ∑ n = M + 1 M + N χ ( n ) | = O ( q log ⁡ q ) , {\displaystyle \left|\sum _{n=M+1}^{M+N}\chi...

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orthogonality relationship for the characters: i.e., ∑ k = 1 n f k ∗ ( g i ) f k ( g j ) = n δ i j {\displaystyle \sum _{k=1}^{n}{f_{k}}^{*}(g_{i})f_{k}(g_{j})=n\delta...

conjugate}}\\0&{\mbox{ otherwise.}}\end{cases}}} where the sum is over all of the irreducible characters χ i {\displaystyle \chi _{i}} of G and the symbol |...

method of estimating sums with prime numbers, enabled him to obtain in 1970 an estimate of the sum of values of a non-principal character modulo a prime q...

The Sum of All Fears is a political thriller novel, written by Tom Clancy and released on August 14, 1991, as the sequel to Clear and Present Danger (1989)...

about a sum of radicals may be computed in polynomial time depending on the input size, i.e., in the number of bits necessary to represent this sum. It is...

extensions according to their position in the character, summing the weights, and taking modulo 6 of the sum. For example the symbol for 'B' has bottom half...