Trigonometric sums and Riemann zeta function
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Publication:6171904
DOI10.1515/ms-2023-0044zbMath1515.11077MaRDI QIDQ6171904
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Publication date: 18 July 2023
Published in: Mathematica Slovaca (Search for Journal in Brave)
Riemann zeta functiongenerating functionBernoulli numberspartial fraction decompositionEuler numberstrigonometric sum
(zeta (s)) and (L(s, chi)) (11M06) Trigonometric and exponential sums (general theory) (11L03) Exponential and trigonometric functions (33B10)
Cites Work
- On a finite sum involving inverse powers of cosines
- Exact evaluations of finite trigonometric sums by sampling theorems
- Partial fractions and trigonometric identities
- Summations on trigonometric functions
- Explicit evaluations and reciprocity theorems for finite trigonometric sums
- New trigonometric sums by sampling theorem
- Closed-form summation of the Dowker and related sums
- Some integer-valued trigonometric sums
- Secant and cosecant sums and Bernoulli-Nörlund polynomials
- On ∑<sup>∞</sup><sub>n = 1</sub> (1/n<sup>2k</sup>)
- Another Elementary Proof of Euler's Formula for ζ(2n)
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