𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Partition Identities and a Theorem of Zagier

✍ Scribed by Jayce Getz; Karl Mahlburg


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
163 KB
Volume
100
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Quartic Key Identity for a Partition T
✍ Krishnaswami Alladi; George E. Andrews 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 144 KB

A key identity in three free parameters involving partitions into distinct parts is proved using Jackson's q-analog of Dougall's summation. This identity is shown to be combinatorially equivalent to a reformulation of a deep partition theorem of Go llnitz obtained by the use of a quartic transformat

A Computer Proof of a Polynomial Identit
✍ Alexander Berkovich; Axel Riese 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 117 KB

In this paper we give a computer proof of a new polynomial identity, which extends a recent result of Alladi and the first author. In addition, we provide computer proofs for new finite analogs of Jacobi and Euler formulas. All computer proofs are done with the aid of the new computer algebra packag

Geometric Identities, Invariant Theory,
✍ M. Hawrylycz 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 446 KB

We prove an identity in the double algebra of a Peano space, using techniques first developed by Doubilet, Rota, and Stein, which yields a class of geometric identities in \(n\)-dimensional projective space. Special cases of this identity include a theorem of Bricard in the projective plane and one

A Proof of Halpern–Läuchli Partition The
✍ S.A. Argyros; V. Felouzis; V. Kanellopoulos 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 116 KB

A proof of the Halpern-Läuchli partition theorem and its version for strong subtrees is given. We prove a general statement which has, as an immediate consequence, the above-mentioned results. The proof of this is direct and avoids metamathematical arguments. Some consequences for partitions of fini

On a Partition Theorem of Göllnitz and Q
✍ Krishnaswami Alladi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 336 KB

For i=1, 2, 3, 4, let Q i (n) denote the number of partitions of n into distinct parts i (mod 4). New weighted identities in three free parameters are established connecting Q i (n) with partitions whose parts differ by 4 and such that consecutive members of the arithmetic progression #i (mod 4) can