scientific article; zbMATH DE number 7587148

zbMath1495.11058MaRDI QIDQ5106154

Guillaume Vinay, K. N. Harshitha, H. T. Shwetha

Publication date: 16 September 2022

Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_May_2022_21_to_25.pdf

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zbMATH Keywords

modular equationstheta functions and trigonometric sums

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Trigonometric and exponential sums (general theory) (11L03) Elliptic integrals as hypergeometric functions (33C75)

Cites Work

• Finite trigonometric sums and class numbers
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• Some Eisenstein series identities related to modular equations of the seventh order.
• Trigonometric sums through Ramanujan's theory of theta functions
• FINITE TRIGONOMETRIC CHARACTER SUMS VIA DISCRETE FOURIER ANALYSIS
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