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pro vyhledávání: '"William J. Keith"'
Autor:
William J. Keith
Charles G.D. Roberts (1860-1943) was one of Canada's most productive writers. In a literary career that extend over six and a half decades he published some three hundred and fifty poems, over two hundred short stories, nine full-length novels, six o
Autor:
William J. Keith
'There is probably no single quality or characteristic – besides love of the countryside – that must inevitably distinguish a rural writer,'notes W.J. Keith. However,'what distinguishes rural writing that belongs to literature from that belonging
Autor:
William J. Keith, Fabrizio Zanello
We continue our study of the density of the odd values of eta-quotients, here focusing on the $m$-regular partition functions $b_m$ for $m$ even. Based on extensive computational evidence, we propose an elegant conjecture which, in particular, comple
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3a8c6212f592df29e25f99b6f090bc2
Autor:
William J. Keith
This book, a critical study of the essays and novels of Richard Jefferies, an English writer of the latter part of the nineteenth century, is an attempt to define the nature of Jefferies'contribution to English literature, and to isolate the more imp
Autor:
Xinhua Xiong, William J. Keith
Publikováno v:
The Ramanujan Journal. 49:555-565
We generalise Euler’s partition theorem involving odd parts and distinct parts for all moduli and provide new companions to Rogers–Ramanujan–Andrews–Gordon identities related to this theorem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a63e9a70b2b5a1f45f8be603233173a0
https://doi.org/10.1007/s11139-018-0103-y
https://doi.org/10.1007/s11139-018-0103-y
Autor:
William J. Keith
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030679958
We illustrate the use of part-frequency matrices as a tool for combinatorial proofs of partition theorems. Several new theorems are rapidly proved, and progress is made toward replacing the proof of a known theorem proved by modular forms with a more
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fee723ebda8835e4c29e931dfc826b9c
https://doi.org/10.1007/978-3-030-67996-5_18
https://doi.org/10.1007/978-3-030-67996-5_18
Autor:
Fabrizio Zanello, William J. Keith
We investigate the parity of the coefficients of certain eta-quotients, extensively examining the case of $m$-regular partitions. Our theorems concern the density of their odd values, in particular establishing lacunarity modulo 2 for specified coeff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f0dcf0b6eaeb748ffd24ad990f3e6b6
http://arxiv.org/abs/2010.09881
http://arxiv.org/abs/2010.09881
Publikováno v:
Annals of Combinatorics. 22:583-600
The purpose of this note is to introduce a new approach to the study of one of the most basic and seemingly intractable problems in partition theory, namely the conjecture that the partition function $p(n)$ is equidistributed modulo 2. Our main resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c754fe6830531faa51d3b18980e43b0c
https://doi.org/10.1007/s00026-018-0397-x
https://doi.org/10.1007/s00026-018-0397-x
Autor:
Sean Grindatti, William J. Keith
Publikováno v:
Involve 12, no. 1 (2019), 13-30
We consider turn sequences used to allocate of a set of indivisible items between two players who take turns choosing their most desired element of the set, with the goal of minimizing the advantage of the first player. Balanced alternation, while no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::644ac18df03cf20e96a45b8e9de75295
https://projecteuclid.org/euclid.involve/1540519228
https://projecteuclid.org/euclid.involve/1540519228
Autor:
William J. Keith
Publikováno v:
International Journal of Number Theory. 13:229-241
We study $\nu_k(n)$, the number of partitions of $n$ into $k$ part sizes, and find numerous arithmetic progressions where $\nu_2$ and $\nu_3$ take on values divisible by 2 and 4. Expanding earlier work, we show $\nu_2(An+B) \equiv 0 \pmod{4}$ for (A,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56d8b2ea850327c08f2cf39aba4a5047
https://doi.org/10.1142/s1793042117500130
https://doi.org/10.1142/s1793042117500130