Lazhar Fekih-Ahmed
Published 2011-06-26, updated 2012-05-03Version 2
We provide direct elementary proofs of several explicit expressions for Bernoulli numbers and Bernoulli polynomials. As a byproduct of our method of proof, we provide natural definitions for generalized Bernoulli numbers and polynomials of complex order.
On the integral of the product of four and more Bernoulli polynomials
Sums of gcd-sum functions with weights concerning the Gamma function and Bernoulli polynomials
Formulas for Jacobi forms and generalized Frobenius partitions
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