Good Lattice Points Modulo Composite Numbers.
Heights in finite projective space, and a problem on directed graphs.
Hierarchical residue number systems with small moduli and simple converters
In this paper, a new class of Hierarchical Residue Number Systems (HRNSs) is proposed, where the numbers are represented as a set of residues modulo factors of 2k ± 1 and modulo 2k . The converters between the proposed HRNS and the positional binary number system can be built as 2-level structures using efficient circuits designed for the RNS (2k-1, 2k, 2k+1). This approach allows using many small moduli in arithmetic channels without large conversion overhead. The advantages resulting from the...
How Berger, Felzenbaum and Fraenkel revolutionized Covering Systems the same way that George Boole revolutionized Logic.
Identities Connecting Elementary Divisor Functions of Different Degrees, and Allied Congruences.
Identities involving covering systems. I.
Identities involving covering systems. II.
Improvements to the Newman-Znám result for disjoint covering systems
Index of irregularity of a prime.
Index Transforms for N-dimensional DFT's.
Irreducible disjoint covering systems
Iterated digit sums, recursions and primality
We examine the congruences and iterate the digit sums of integer sequences. We generate recursive number sequences from triple and quintuple product identities. And we use second order recursions to determine the primality of special number systems.
Iterated exponents in number theory.
Jednočlenné perioda zbytků z mocnin s předcházejícími členy
Kamke, E., Zur Arithmetik der Polynome
Kongruenzen zwischen Koeffizienten trigonometrischer Reihen und Klassenzahlen quadratisch imaginärer Körper.
Kummer congruences for expressions involving generalized Bernoulli polynomials
We illustrate how a particular expression, involving the generalized Bernoulli polynomials, satisfies systems of congruence relations if and only if a similar expression, involving the generalized Bernoulli numbers, satisfies the same congruence relations. These congruence relations include the Kummer congruences, and recent extensions of the Kummer congruences provided by Gunaratne.
Kummer congruences for the coefficients of Hurwitz series
Kummer type congruences and Stickelberger subideals
Kummer's Congruences (mod 2r).