The weak Gram law for Hecke $$ L $$-functions
نویسندگان
چکیده
Abstract We generalize a theorem by Titchmarsh about the mean value of Hardy’s $$Z$$ Z -function at Gram points to Hecke $$L$$ L -functions, which in turn implies weak law for them. Instead proceeding analogously with an approximate functional equation we employ different method using contour integration.
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ژورنال
عنوان ژورنال: Ramanujan Journal
سال: 2022
ISSN: ['1572-9303', '1382-4090']
DOI: https://doi.org/10.1007/s11139-022-00638-5