Exact evaluations and reciprocity theorems for finite trigonometric sums
From MaRDI portal
Publication:6076978
DOI10.1007/s40687-023-00403-0arXiv2210.00180MaRDI QIDQ6076978
No author found.
Publication date: 17 October 2023
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.00180
Trigonometric and exponential sums (general theory) (11L03) Exponential and trigonometric functions (33B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Basic trigonometric power sums with applications
- New trigonometric identities and reciprocity laws of generalized Dedekind sums
- Finite trigonometric sums and class numbers
- Cotangent sums, a further generlization of Dedekind sums
- Partial fractions and trigonometric identities
- A new class of theta-function identities originating in Ramanujan's notebooks
- Generating functions and generalized Dedekind sums.
- Summations on trigonometric functions
- New trigonometric identities and generalized Dedekind sums
- Reciprocal relations for trigonometric sums
- The Frobenius problem, rational polytopes, and Fourier-Dedekind sums
- Explicit evaluations and reciprocity theorems for finite trigonometric sums
- Explicit expressions for finite trigonometric sums
- Two general families of integer-valued polynomials associated with finite trigonometric sums
- New trigonometric sums by sampling theorem
- Summation formulae on trigonometric functions
- The three missing terms in Ramanujan's septic theta function identity
- Multiple Franel integrals
- DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS
- Jordan's totient function and trigonometric sums
- Generalized cosecant numbers and trigonometric inverse power sums
This page was built for publication: Exact evaluations and reciprocity theorems for finite trigonometric sums
