Add to ORKGTwo classes of finite trigonometric sums, each involving only $\sin$'s, are evaluated in closed form. The previous and original proofs arise from Ramanujan's theta functions and modular equations.Comment: 10 page
AbstractWe derive formulas for evaluating weighted sums of trigonometric functions over evenly-space...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
Finite trigonometric sums occur in various branches of physics, mathematics, and their applications....
We show that identities involving trigonometric sums recently proved by Harshitha, Vasuki and Yathir...
In this thesis, we prove several identities involving Ramanujan's general theta function. In Chapter...
158 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.This thesis explores two diff...
My dissertation is mainly about various identities involving theta functions and analogues of theta ...
In this paper, first we establish some new relations for ratios of Ramanujan’s theta functions. We e...
AbstractIn this paper we will start with one identity of Ramanujan about Lambert series related to m...
112 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.On page 54, Ramanujan recorde...
Previously, we proved an addition formula for the Jacobi theta function, which allows us to recover ...
AbstractOn page 335 in his lost notebook, Ramanujan recorded without proofs two identities involving...
AbstractWe show that certain modular equations and theta function identities of Ramanujan imply eleg...
AbstractWe give an evaluation of a trigonometrical sum which plays a key role in a proof by H. Minc ...
AbstractWe define two quotients of theta-function ψ depending on two positive real parameters. We th...
AbstractWe derive formulas for evaluating weighted sums of trigonometric functions over evenly-space...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
Finite trigonometric sums occur in various branches of physics, mathematics, and their applications....
We show that identities involving trigonometric sums recently proved by Harshitha, Vasuki and Yathir...
In this thesis, we prove several identities involving Ramanujan's general theta function. In Chapter...
158 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.This thesis explores two diff...
My dissertation is mainly about various identities involving theta functions and analogues of theta ...
In this paper, first we establish some new relations for ratios of Ramanujan’s theta functions. We e...
AbstractIn this paper we will start with one identity of Ramanujan about Lambert series related to m...
112 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.On page 54, Ramanujan recorde...
Previously, we proved an addition formula for the Jacobi theta function, which allows us to recover ...
AbstractOn page 335 in his lost notebook, Ramanujan recorded without proofs two identities involving...
AbstractWe show that certain modular equations and theta function identities of Ramanujan imply eleg...
AbstractWe give an evaluation of a trigonometrical sum which plays a key role in a proof by H. Minc ...
AbstractWe define two quotients of theta-function ψ depending on two positive real parameters. We th...
AbstractWe derive formulas for evaluating weighted sums of trigonometric functions over evenly-space...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
Finite trigonometric sums occur in various branches of physics, mathematics, and their applications....