8 citations · 24 across the 8 of their papers we have counts for
8 papers
Some Refinements of Formulae Involving Floor and Ceiling Functions
Luka Podrug, Dragutin Svrtan
The floor and ceiling functions appear often in mathematics and manipulating sums involving floors and ceilings is a subtle game. Fortunately, the well-known textbook Concrete Math…
Some Families of Identities for Integer Partition Function
Ivica Martinjak, Dragutin Svrtan
We give a series of recursive identities for the number of partitions with exactly parts and with constraints on both the minimal difference among the parts and the minimal par…
New identities for the polarized partitions and partitions with -distant parts
Ivica Martinjak, Dragutin Svrtan
In this paper we present a new class of integer partition identities. The number of partitions with d-distant parts can be represented as a sum of the number of partitions with 1-d…
Verification and Strengthening of the Atiyah--Sutcliffe Conjectures for Several Types of Configurations
Dragutin Svrtan, Igor Urbiha
In 2001 Sir M. F. Atiyah formulated a conjecture C1 and later with P. Sutcliffe two stronger conjectures C2 and C3. These conjectures, inspired by physics (spin-statistics theorem…
Atiyah-Sutcliffe Conjectures for Almost Collinear Configurations and Some New Conjectures for Symmetric Functions
Dragutin Svrtan, Igor Urbiha
In 2001 Sir M. F. Atiyah formulated a conjecture (C1) and later with P. Sutcliffe two stronger conjectures (C2) and (C3). These conjectures, inspired by physics (spin-statistics th…
Geometry of pentagons: from Gauss to Robbins
Dragutin Svrtan, Darko Veljan, Vladimir Volenec
An almost forgotten gem of Gauss tells us how to compute the area of a pentagon by just going around it and measuring areas of each vertex triangles (i.e. triangles whose vertices…