scientific article; zbMATH DE number 7386852

zbMath1488.11102MaRDI QIDQ5011037

Mouloud Goubi

Publication date: 26 August 2021

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/65/2_eng.html

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zbMATH Keywords

generating functionEstermann zeta functionvasyunin cotangent sum

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Dedekind eta function, Dedekind sums (11F20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (1)

On Bell polynomials associated to Vasyunin cotangent sums

Cites Work

• Unnamed Item
• A cotangent sum related to zeros of the Estermann zeta function
• Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis
• Period functions and cotangent sums
• Study of the multiplicative autocorrelation of the fractional part function
• On the Distribution of a Cotangent Sum: Fig. 1.
• Reciprocity formulae for generalized Dedekind‐Vasyunin‐cotangent sums
• Explicit and asymptotic formulae for Vasyunin-cotangent sums
• Successive derivatives of Fibonacci type polynomials of higher order in two variables
• Generalizations of a cotangent sum associated to the Estermann zeta function

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