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

Evaluation of the sums ∑ m = 1 m ≡ a ( mod 4 ) 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 ∑ m = 1 m ≡ a ( mod 4 ) n - 1 σ ( m ) σ ( n - m ) is evaluated for a ∈ { 0 , 1 , 2 , 3 } and all n ∈ 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 ∞ where ( G n ) n = 1 ∞ 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 ≠ 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 .