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Absolute series for higher Euler constants
Journal of Number Theory ( IF 0.7 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jnt.2020.06.016
Paul Thomas Young

Abstract We give families of series for generalized Euler constants of multiple Hurwitz zeta functions in terms of absolute zeta functions of algebraic groups, extending recent work of Kurokawa and Tanaka. Our series also converge p-adically to give p-adic limit formulas for higher p-adic Euler constants.

中文翻译:

更高欧拉常数的绝对级数

摘要 我们根据代数群的绝对 zeta 函数给出了多个 Hurwitz zeta 函数的广义欧拉常数的级数族,扩展了黑川和田中最近的工作。我们的级数也对 p-adic 收敛以给出更高 p-adic 欧拉常数的 p-adic 极限公式。
更新日期:2021-03-01
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