A formula for a quartic integral: a survey of old proofs and some new ones

By T. Amdeberhan, Victor H. Moll. 2007

53 citations recorded by the source corpus.

Abstract We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations. We include our personal renditions as related to the history of these particular computations.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d5a98d3eff7c0169f1f959dd452f25e8c62532f5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Victor H. Moll
2. Ivan Gonzalez
3. Armin Straub
4. Marshall Harrison
5. Olivier Espinosa
6. Tewodros Amdeberhan

Citations in the corpus

• Ramanujan’s Master Theorem (2012, background): “The reader will find in [1] a variety of proofs of this identity, but it was Ramanujan’s Master Theorem that was key to the first proof of (5.”