Characters sums Ascents Coloring problems Algèbres de Temperley-Lieb Bateman-like totien zeta-functions Central limit theorem Symbolic dynamics Chemins Meromorphic continuation Braid group Artin L-functions Discrete one-dimensional Schrödinger operators Genocchi numbers Bernoulli number 06B Key words and phrases graphs Tauberian theorems Brumer–Stark conjecture Anti-power Deformations Elementary function Askey-Wilson polynomials Irreducible $k$-shapes Carlitz zeta values Algorithm Cyclic complexity Q-analogue E-functions Cryptologie Multiple zeta values Correct rounding Ballot numbers Dellac histories Multiple zeta-function Covering polynomial 05C55 Weak order Function fields of positive characteristic Algebraic independence Enjeux Computer arithmetic Andrews formula Cryptographie Diophantine systems Congruences Coxeter groups Complexité Cohomology Empilements de pièces Carlitz module Anderson-Thakur function Differential Equations $t$-motives Continued fraction Transcendence Sturmian words Riemann Hypothesis Combinatorics on words Bernoulli numbers Reduced decompositions Complexity Tableaux Zeta functions Bailey transform Arithmetic function 05D10 Bressoud inversion Cycle Gorenstein polytope Class module Gandhi polynomials Equimorphy Davenport constant Dirichlet series $G$-functions Lattice polytope Chebichev function Exponential sums Catalan numbers Drinfeld modular forms Abelian extensions Coxeter group Digraphs Ehrhart polynomial Class number formula Dellac configurations Actions de groupes Self-similar discrete sets Constant terms of powers of Laurent polynomials A-harmonic sums Distribution of values of arithmetic functions $A$-harmonic sums Class P conjecture $L$-functions in positive characteristic Discrete interval exchange transformations Apéry numbers Surjective pistols Descents Dumont permutations Special values Fractals