ON SOME TRIGONOMETRIC AND EXPONENTIAL LATTICE SUMS

[摘要] Certain two-dimensional trigonometric lattice series, the ordinary convergence of which involves unresolved questions of a deep and delicate number-theoretic nature, are shown to be summable by a special Abelian method and their Abelian sums are obtained. This is done by first evaluating an absolutely convergent exponential lattice series and then analytically extending its sum. (C) 1994 Academic Press, Inc.

[发布日期] 1994-11-15