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math.NT2023
The simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials
Gennadiy Ilyuta
We prove the simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials. These formulas contain Dedekind-Rademacher sums, Ap…
math.NT2021
Mordell and Tuenter formulas, Kubert functions and reciprocity theorems for Apostol-Dedekind sums
Gennadiy Ilyuta
We connect Dedekind sums and some formulas for numerical semigroups.