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Inverses of words.

Foata, Dominique, Han, Guo-Niu (1997)

Séminaire Lotharingien de Combinatoire [electronic only]

Isomerism as Manifestation of Intrinsic Symmetry of Molecules: Lunn–Senior’s Theory

Iliev, Valentin (2009)

Serdica Journal of Computing

This article presents the principal results of the doctoral thesis “Isomerism as internal symmetry of molecules” by Valentin Vankov Iliev (Institute of Mathematics and Informatics), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 15 December, 2008.This paper is an extended review of our doctoral thesis “Isomerism as Intrinsic Symmetry of Molecules” in which we present, continue, generalize, and trace out Lunn–Senior’s theory of isomerism...

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.

Labeled floor diagrams for plane curves

Sergey Fomin, Grigory Mikhalkin (2010)

Journal of the European Mathematical Society

Floor diagrams are a class of weighted oriented graphs introduced by E. Brugallé and the second author. Tropical geometry arguments lead to combinatorial descriptions of (ordinary and relative) Gromov–Witten invariants of projective spaces in terms of floor diagrams and their generalizations. In a number of cases, these descriptions can be used to obtain explicit (direct or recursive) formulas for the corresponding enumerative invariants. In particular, we use this approach to enumerate rational...

Lagrange’s essay “Recherches sur la manière de former des tables des planètes d’après les seules observations”

Massimo Galuzzi (1995)

Revue d'histoire des mathématiques

The memoir presented by Lagrange, which this paper examines, is usually considered as an elegant, but scarcely practicable, contribution to numerical analysis. The purpose of this study is to show the significance of the novel mathematical ideas it contains, and in particular to look at this essay from the perspective of generating function theory, for which the theoretical foundations would be laid some little time later by Laplace. This excursus of Lagrange’s does indeed proffer an abundance of...

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