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$L$ -functions of automorphic forms and combinatorics: Dyck paths

Laurent Habsieger, Emmanuel Royer (2004)

Annales de l'Institut Fourier

We give a combinatorial interpretation for the positive moments of the values at the edge of the critical strip of the $L$ -functions of modular forms of $G L (2)$ and $G L (3)$ . We deduce some results about the asymptotics of these moments. We extend this interpretation to the moments twisted by the eigenvalues of Hecke operators.

Local limit approximations for Lagrangian distributions.

Ljuben Mutafchiev (1995)

Aequationes mathematicae

Locally restricted compositions. I. Restricted adjacent differences.

Bender, Edward A., Canfield, E. Rodney (2005)

The Electronic Journal of Combinatorics [electronic only]

Locally restricted compositions. II: General restrictions and infinite matrices.

Bender, Edward A., Canfield, E.Rodney (2009)

The Electronic Journal of Combinatorics [electronic only]

Locally restricted compositions. III: Adjacent-part periodic inequalities.

Bender, Edward A., Canfield, E.Rodney (2010)

The Electronic Journal of Combinatorics [electronic only]

Longest alternating subsequences in pattern-restricted permutations.

Firro, Ghassan, Mansour, Toufik, Wilson, Mark C. (2007)

The Electronic Journal of Combinatorics [electronic only]

Longest increasing subsequences in pattern-restricted permutations.

Deutsch, Emeric, Hildebrand, A.J., Wilf, Herbert S. (2003)

The Electronic Journal of Combinatorics [electronic only]

Currently displaying 1 – 7 of 7

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