Add to ORKG127 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Finally, we prove generalizations of integrals found on page 201 of Ramanujan's Lost Notebook. We also prove several results related to the integrals on page 201. Our integral evaluations follow from well-known product-series identities from the theory of q-series.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
127 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Finally, we prove generalizat...
92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanuja...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.In Chapters 4 and 5, we apply...
A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's se...
AbstractThe ‘crank’ is a partition statistic which originally arose to give combinatorial interpreta...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
This unique book explores the world of q, known technically as basic hypergeometric series, and repr...
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory...
Abstract.In this note, we shall give a brief survey of the results thatare found in Ramanujan’s Lost...
A q-integral is a definite integral of a function of q having an expansion in non-negative powers of...
This thesis presents some new identities between Ramanujan's arithmetical function r(n) and the divi...
We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
127 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Finally, we prove generalizat...
92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanuja...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.In Chapters 4 and 5, we apply...
A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's se...
AbstractThe ‘crank’ is a partition statistic which originally arose to give combinatorial interpreta...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
This unique book explores the world of q, known technically as basic hypergeometric series, and repr...
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory...
Abstract.In this note, we shall give a brief survey of the results thatare found in Ramanujan’s Lost...
A q-integral is a definite integral of a function of q having an expansion in non-negative powers of...
This thesis presents some new identities between Ramanujan's arithmetical function r(n) and the divi...
We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...