Approximate Functional Equation for the Product of Functions and Divisor Problem
| dc.creator | Rane, V. V. | |
| dc.date | 2005-02-07 | |
| dc.date | 2009-02-02 | |
| dc.date.accessioned | 2026-07-07T12:36:37Z | |
| dc.date.available | 2026-07-07T12:36:37Z | |
| dc.description | For functions defined via Dirichlet/generalized Dirichlet series in some half planes of the complex plane, we give a new simple elementary approach to obtain an Approximate Functional Equation(AFE for short) for the product of functions with explicit remainder term. We do this,using a highly generalized identity following Motohashi's approach,wherein he uses a generalisation of Dirichlet's device.We use our method to give an AFE for the product of two Dirichlet L-series corresponding to primitive Dirichlet characters with hitherto unknown estimate for its remainder term.We also consideer AFEs of functions on the real line and the AFEs not only of the r-th power of Dirichlet L-series(or,of Riemann Zeta function)but also of the r-th root of it,where r is a positive integer | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502126 | |
| dc.identifier | http://arxiv.org/abs/math/0502126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218155 | |
| dc.subject | Number Theory | |
| dc.subject | 11M35 | |
| dc.title | Approximate Functional Equation for the Product of Functions and Divisor Problem | |
| dc.type | text |