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Let $\\Delta(x;\\ell_1,M_1,\\ell_2,M_2)$ be the error term of the asymptotic formula of $\\sum\\limits_{n\\leqslant x}d(n;\\ell_1,M_1,\\ell_2,M_2)$. In this paper, we establish an asymptotic formula of the fourth power moment of $\\Delta(M_1M_2x;\\ell_1,M_1,\\ell_2,M_2)$ and prove that \\begin{equation*}\n  \\int_1^T\\Delta^4(M_1M_2x;\\ell_1,M_1,\\ell_2,M_2)\\mathrm{d}x=\\frac{1}{32\\pi^4}C_4\\Big(\\frac{\\ell_1}{M_1},\\frac{","authors_text":"Jinjiang Li, Min Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-11-29T12:19:00Z","title":"On the Fourth Power Moment of the Error Term for the Divisor Problem with Congruence Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10808","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:44d488d0606b4ae3751b55ee7eb867e9345fd9ca0d657c46f49d82a96e9643aa","target":"record","created_at":"2026-05-18T00:29:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3eef040c9db9d868b4fa6223fb3fc7301eb896f8d91c73c008f6a10625c07178","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-11-29T12:19:00Z","title_canon_sha256":"03f0c5091a7b3b787d4a3a7f30a49d537c93a497828a4c93e3128c87641fd146"},"schema_version":"1.0","source":{"id":"1711.10808","kind":"arxiv","version":1}},"canonical_sha256":"b44480c4c872fa0f15f96de7413ff2ac80bcaf47be7c603f854c0e70e640ce29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b44480c4c872fa0f15f96de7413ff2ac80bcaf47be7c603f854c0e70e640ce29","first_computed_at":"2026-05-18T00:29:16.878715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:16.878715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+N03HNy5WgbFIrrHcH8pCfbsGlKox5lf+ZXWlgwHwUg52iyCjoKc1GxpN4V5YB1GgDHBBOVA7UAQS68UMue8Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:16.879215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10808","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44d488d0606b4ae3751b55ee7eb867e9345fd9ca0d657c46f49d82a96e9643aa","sha256:c30566ca07280edcbab4b33edadd0401c1ac7d5a0f6b1dcf29721540d045e69c"],"state_sha256":"d8c1eebd4491257e522dd45b610c5a6d37968c9555cc1930785452aa7fd1981e"}