Power-moments of SL$_3(\mathbb {Z})$ Kloosterman sums

Goran Djanković

Displaying similar documents to “Power-moments of SL $_{3} (ℤ)$ Kloosterman sums”

Cyclotomy of order 15 over $G F (p^{2})$ , $p = 4, 11$ (mod 15).

Friesen, Christian, Muskat, Joseph B., Spearman, Blair K., Williams, Kenneth S. (1986)

International Journal of Mathematics and Mathematical Sciences

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Evaluation of the sums $\sum_{\begin{matrix} m = 1 \\ m \equiv a (mod 4) \end{matrix}}^{n - 1} σ (m) σ (n - m)$

Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2009)

Czechoslovak Mathematical Journal

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The convolution sum $\sum_{\begin{matrix} m = 1 \\ m \equiv a (mod 4) \end{matrix}}^{n - 1} σ (m) σ (n - m)$ is evaluated for $a \in {0, 1, 2, 3}$ and all $n \in ℕ$ . This completes the partial evaluation given in the paper of J. G. Huard, Z. M. Ou, B. K. Spearman, K. S. Williams.

Tribonacci modulo $2^{t}$ and $11^{t}$

Jiří Klaška (2008)

Mathematica Bohemica

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Our previous research was devoted to the problem of determining the primitive periods of the sequences ${(G_{n} mod p^{t})}_{n = 1}^{\infty}$ where ${(G_{n})}_{n = 1}^{\infty}$ is a Tribonacci sequence defined by an arbitrary triple of integers. The solution to this problem was found for the case of powers of an arbitrary prime $p \neq 2, 11$ . In this paper, which could be seen as a completion of our preceding investigation, we find solution for the case of singular primes $p = 2, 11$ .

The cube of the Fermat quotient.

Dilcher, Karl, Skula, Ladislav (2006)

Integers

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Displaying similar documents to “Power-moments of SL 3 ( ℤ ) Kloosterman sums”

Cyclotomy of order 15 over G F ( p 2 ) , p = 4 , 11 (mod 15).

Evaluation of the sums ∑ m = 1 m ≡ a ( mod 4 ) n - 1 σ ( m ) σ ( n - m )

Tribonacci modulo 2 t and 11 t

The cube of the Fermat quotient.

Displaying similar documents to “Power-moments of SL $_{3} (ℤ)$ Kloosterman sums”

Cyclotomy of order 15 over $G F (p^{2})$ , $p = 4, 11$ (mod 15).

Evaluation of the sums $\sum_{\begin{matrix} m = 1 \\ m \equiv a (mod 4) \end{matrix}}^{n - 1} σ (m) σ (n - m)$

Tribonacci modulo $2^{t}$ and $11^{t}$