Koshliakov’s Formula and Guinand’s Formula

George E. Andrews and Bruce C. Berndt
Additional contact information
George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter 3 in Ramanujan's Lost Notebook, 2013, pp 93-109 from Springer

Abstract: Abstract In this chapter, we relate two well-known identities, with the names of N.S. Koshliakov and A.P. Guinand attached to them, which were proved by Ramanujan and recorded in his lost notebook before their discoveries by the aforementioned mathematicians. Ramanujan also derived some related formulas that have not been rediscovered by others.

Keywords: Functional Equation; Eisenstein Series; Modify Bessel Function; Summation Formula; Transformation Formula (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-4081-9_3

Ordering information: This item can be ordered from
http://www.springer.com/9781461440819

DOI: 10.1007/978-1-4614-4081-9_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().