@article{Weishaeupl2023, author = {Weish{\"a}upl, Sebastian}, title = {The weak Gram law for Hecke \(L\)-functions}, series = {The Ramanujan Journal}, volume = {60}, journal = {The Ramanujan Journal}, number = {4}, issn = {1382-4090}, doi = {10.1007/s11139-022-00638-5}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-324404}, pages = {981-997}, year = {2023}, abstract = {We generalize a theorem by Titchmarsh about the mean value of Hardy's \(Z\)-function at the Gram points to the Hecke \(L\)-functions, which in turn implies the weak Gram law for them. Instead of proceeding analogously to Titchmarsh with an approximate functional equation we employ a different method using contour integration.}, language = {en} }