6 papers · 1 filter
Looking for good Hofmeister and Braunschadel bases
Michael Farinton Challis
A_k = (1, a_2, ... a_k} is an h-basis for n if every positive integer not exceeding n can be expressed as the sum of no more than h values a_i. An "extremal" h-basis A_k is one for…
Notes on "Symmetric Bases with large 2-range"
Michael Farinton Challis
A_k = {1, a_2, ... a_k} is an h-basis for n if every positive integer not exceeding n can be expressed as the sum of no more than h values a_i. An extremal h-basis A_k is one for w…
Notes on Symmetric Bases
Michael Farinton Challis
A_k = {1, a_2, ... a_k} is an h-basis for n if every positive integer not exceeding n can be expressed as the sum of no more than h values a_i. An extremal h-basis A_k is one for w…
A note on m_h(A_k)
Michael Farinton Challis
A_k = {1, a_2, ..., a_k} is an h-basis for n if every positive integer not exceeding n can be expressed as the sum of no more than h values a_i; we write n = n_h(A_k). An extremal…
A proof that h_1, h_2 <= h_0 for any h-basis A_3
Michael Farinton Challis
A_k = {1, a_2, ... a_k} is an h-basis for X if every positive integer not exceeding X can be expressed as the sum of no more than h values a_i; X(h) is called the h-range of the ba…
The Postage Stamp Problem - Formulae and proof for the case of 3 denominations
Michael Farinton Challis
A_k = {1, a_2, ..., a_k} is an h-basis for n if every positive integer not exceeding n can be expressed as the sum of no more than h values a_i; an extremal h-basis A_k is one for…