Limitation to the asymptotic formula in Waring's problem
W. K. A. Loh (1996)
Acta Arithmetica
Similarity:
W. K. A. Loh (1996)
Acta Arithmetica
Similarity:
J.-L. Nicolas, A. Sárközy (2000)
Journal de théorie des nombres de Bordeaux
Similarity:
Let denote the number of partitions of into parts, each of which is at least . By applying the saddle point method to the generating series, an asymptotic estimate is given for , which holds for , and .
J. Mikusiński (1953)
Studia Mathematica
Similarity:
D. Burgess (1971)
Acta Arithmetica
Similarity:
Andrzej Schinzel (1969)
Acta Arithmetica
Similarity:
G. A. Camera (1989)
Compositio Mathematica
Similarity:
Xia Chen, Jay Rosen (2005)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
Nobushige Kurokawa, Masato Wakayama (2005)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Michael Drmota, Johannes Gajdosik (1998)
Journal de théorie des nombres de Bordeaux
Similarity:
By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.