𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sums of subsequences modulo prime powers

✍ Scribed by N. Alon


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
130 KB
Volume
71
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Enumeration of power sums modulo a prime
✍ Andrew M. Odlyzko; Richard P. Stanley πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 418 KB
Roots of Polynomials Modulo Prime Powers
✍ Bruce Dearden; Jerry Metzger πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 202 KB

In general , not every set of values modulo n will be the set of roots modulo n of some polynomial . In this note , some characteristics of those sets which are root sets modulo a prime power are developed , and these characteristics are used to determine the number of dif ferent sets of integers wh

Root Sets of Polynomials Modulo Prime Po
✍ Davesh Maulik πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 194 KB

A subset R of the integers modulo n is defined to be a root set if it is the set of roots of some polynomial. Using the Chinese Remainder Theorem, the question of finding and counting root sets mod n is reduced to finding root sets modulo a prime power. In this paper, we provide a recursive construc

A Binomial Coefficient Congruence Modulo
✍ K. Davis; W. Webb πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 94 KB

AND WilLiam WebB Department of Mathematics, Washington State Unicersity, Pullman, Washington 99164-3113 Communicated hy Hans Zassenhaus

Set Systems with Restricted Intersection
✍ LΓ‘szlΓ³ Babai; PΓ©ter Frankl; Samuel Kutin; Daniel Ε tefankovič πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 236 KB

We study set systems satisfying Frankl Wilson-type conditions modulo prime powers. We prove that the size of such set systems is polynomially bounded, in contrast with V. Grolmusz's recent result that for non-prime-power moduli, no polynomial bound exists. More precisely we prove the following resul