摘要：Utilizing the theory of elliptic curves over ℂ to the normalized lattice Λ τ , its connection to the Weierstrass ℘-functions and to the Eisenstein series E 4 ( τ ) and E 6 ( τ ) , we establish some arithmetic identities involving certain arithmetic functions and convolution sums of restricted divisor functions. We also prove some congruence relations involving certain divisor functions and restricted divisor functions. MSC:11A25, 11A07, 11G99.
