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Forniamo un calcolo esplicito della funzione di partizione di Kostant per algebre di Lie complesse di rango $2$ . La tecnica principale consiste nella riduzione a casi più semplici ed all'uso di funzioni generatrici.

Changes of sign of error terms related to Euler's function and to divisor functions.

Y.-F. S. Pétermann (1986)

Commentarii mathematici Helvetici

Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2

J. Wu (2008)

Acta Arithmetica

Chen's double sieve, Goldbach's conjecture and the twin prime problem

J. Wu (2004)

Acta Arithmetica

Chen's theorem in short intervals

Ying Chun Cai, Ming Gao Lu (1999)

Acta Arithmetica

Chen's theorem in totally real algebraic number fields

Jürgen Hinz (1991)

Acta Arithmetica

Circles passing through five or more integer points

Shaunna M. Plunkett-Levin (2013)

Acta Arithmetica

We find an improvement to Huxley and Konyagin’s current lower bound for the number of circles passing through five integer points. We conjecture that the improved lower bound is the asymptotic formula for the number of circles passing through five integer points. We generalise the result to circles passing through more than five integer points, giving the main theorem in terms of cyclic polygons with m integer point vertices. Theorem. Let m ≥ 4 be a fixed integer. Let $W_{m} (R)$ be the number of cyclic polygons...

Combinatorial interpretations for identities using chromatic partitions

Mateus Alegri, Wagner Ferreira Santos, Samuel Brito Silva (2021)

Czechoslovak Mathematical Journal

We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.

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Bounds for the eventual positivity of difference functions of partitions into prime powers.

Bounds of prime solutions of some diagonal equations.

Bounds on the number of integer valued monotone functions of k integer arguments

Breaking classical convexity in Waring's problem: Sums of cubes and quasi-diagonal behaviour.

Calcolo della funzione di partizione di Kostant

Changes of sign of error terms related to Euler's function and to divisor functions.

Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2

Chen's double sieve, Goldbach's conjecture and the twin prime problem

Chen's theorem in short intervals

Chen's theorem in totally real algebraic number fields

Circles passing through five or more integer points

Combinatorial interpretations for identities using chromatic partitions

Combinatorics of integer partitions in arithmetic progression.

Comment distribuer des points uniformément sur une sphère ? (D'après Lubotzky, Phillips et Sarnak)

Common summands in partitions

Complete asymptotic expansions for certain multiple q-integrals and q-differentials of Thomae-Jackson type

Composite positive integers with an average prime factor

Compositions with distinct parts.

Computational proofs of congruences for 2-colored Frobenius partitions.

Conditional bounds for small prime solutions of linear equations.

Currently displaying 181 – 200 of 1124