3 papers
quant-ph2023
Predictive Models from Quantum Computer Benchmarks
Daniel Hothem, Jordan Hines, Karthik Nataraj +2
Holistic benchmarks for quantum computers are essential for testing and summarizing the performance of quantum hardware. However, holistic benchmarks -- such as algorithmic or rand…
math.NT2022
Schreier Numbers and Nontrivial Small Divisors Satisfying Linear Recurrence of Order at Most Two
Karthik Nataraj
Schreier sets have been an object of study since first introduced in 1930 by Jozef Schreier to construct a counterexample to a conjecture of Banach. In 1974 George Andrews found in…
math.NT2015
Distinct parts partitions without sequences
Kathrin Bringmann, Karl Mahlburg, Karthik Nataraj
Partitions without sequences of consecutive integers as parts have been studied recently by many authors, including Andrews, Holroyd, Liggett, and Romik, among others. Their result…