Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:10:28.115341Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 3 inbound Pith citation observations for arXiv:2506.13883.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:10:28.115341Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:24:23.202568Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T12:29:13.830673Z
68 of 68 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation e002ce15-9fea-4ae3-9162-833846480868 · outbound
The hyperbolic circle problem over Heegner points 2, 147–154
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5ca40a81-470b-4788-94f0-5e1313e8d96d · outbound
The hyperbolic circle problem over Heegner points Local square mean in the hyperbolic circle problem
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eae5f180-2df7-4f8f-b696-059dcc3551fe · outbound
The hyperbolic circle problem over Heegner points 8, 2745–2796
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 86474395-890a-4e79-a202-0c7233fa8f8a · outbound
The hyperbolic circle problem over Heegner points 3-4, 1323–1424
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ef8829f0-055c-4753-8736-75d107fb85f3 · outbound
The hyperbolic circle problem over Heegner points 1394, v+148
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a611bff8-9394-4d1d-890e-79644321c0a5 · outbound
The hyperbolic circle problem over Heegner points Reine Angew
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation aec7d5d6-a015-4856-ab83-d5fd2ae05c28 · outbound
The hyperbolic circle problem over Heegner points Reine Angew
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d9595995-f77b-4378-9dca-c96888119954 · outbound
The hyperbolic circle problem over Heegner points 55, Cambridge University Press, Cambridge, 1997
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8ab89370-9c05-446f-97f3-62bc861b35a5 · outbound
The hyperbolic circle problem over Heegner points PDE 8 (2015), no
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a833b929-5da6-4a60-89ea-3fc8d7cd1640 · outbound
The hyperbolic circle problem over Heegner points 77 (1996), no
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7f55a60e-9461-4c9f-8193-595de7259bc3 · outbound
The hyperbolic circle problem over Heegner points 77 (1996), no
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d2f9dc64-6a8d-4ae8-86e0-bfa4a55714dc · outbound
The hyperbolic circle problem over Heegner points 4, 1421–1437
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d2c7c1f4-7bcc-4d2a-b570-cd41233bf67a · outbound
The hyperbolic circle problem over Heegner points 9, 2343–2368
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f408318e-3b03-4ed9-b438-e4b83432f3b5 · outbound
The hyperbolic circle problem over Heegner points Risager, On the variance of the error term in the hyperbolic circle problem, Rev
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dc63e933-0ae0-48e8-8556-758c9a5c8351 · outbound
The hyperbolic circle problem over Heegner points Brian Conrey, William Duke, and David W
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3d6ec2a5-1aaf-43e9-8a11-7aad930f22e1 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b61b835c-9b22-4f10-975d-7fda611d87b8 · outbound
The hyperbolic circle problem over Heegner points Math., 92 (1988), no
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c25a7efa-c6be-4521-9d72-a4007a5323f4 · outbound
The hyperbolic circle problem over Heegner points 1040, Springer-Verlag, Berlin, 1983
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ee2bea92-ef9d-461e-bacd-263b8884a14a · outbound
The hyperbolic circle problem over Heegner points Gradshteyn and Iosif M
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2c5f662f-6f2a-4367-84d5-1f10a54e8769 · outbound
The hyperbolic circle problem over Heegner points II , Invent
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dc00e868-6281-4024-8862-a63c90773a42 · outbound
The hyperbolic circle problem over Heegner points 2, 103–117
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8f1956f3-c5bd-4a0c-97e4-0e4d0e862c04 · outbound
The hyperbolic circle problem over Heegner points Sharp conditional bounds for moments of the Riemann zeta function
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce1f8af7-c455-4d59-9c4f-e9f05a023693 · outbound
The hyperbolic circle problem over Heegner points Second Series 24 (1981), no
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation aba142b7-febf-440e-8e3a-3b4d4c6324ef · outbound
The hyperbolic circle problem over Heegner points 4, 397–409
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c7e269c5-a451-4738-846e-4b56ac194a90 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 216b64a6-aaa9-47db-8d80-c0e3b786f8ac · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 61d1a631-8308-4798-acf6-8934236535f2 · outbound
The hyperbolic circle problem over Heegner points 121 (1968), 193–218
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 700a27b5-9d37-440e-af25-b9f78121e8db · outbound
The hyperbolic circle problem over Heegner points Joint value distribution of Hecke--Maass forms
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fdf688f-8da3-4676-802e-1e8b1986d994 · outbound
The hyperbolic circle problem over Heegner points $L^p$-Norm Bounds for Automorphic Forms via Spectral Reciprocity
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6488359e-0db4-46d1-b5b7-47d445f8ff76 · outbound
The hyperbolic circle problem over Heegner points 9, 1936–1996
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7b4b5f7e-b8fa-4442-ab54-b4648e0f612c · outbound
The hyperbolic circle problem over Heegner points 17, American Mathematical Society, Providence, RI, 1997
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5a52e74c-98ac-4ffd-bb00-ab41cae756f0 · outbound
The hyperbolic circle problem over Heegner points 53, American Mathematical Society, Providence, RI, 2002
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5f54c11f-93b3-470f-a65c-8fea133516b7 · outbound
The hyperbolic circle problem over Heegner points 53, American Mathematical Society, Providence, RI, 2004
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f964dc70-ed9a-4b36-a62b-95ea30c0fa69 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2ad3ed66-bc72-4e10-a48c-b8bc89725648 · outbound
The hyperbolic circle problem over Heegner points Keating and Nina C
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bca10fed-a967-4fac-a9d1-14784e147592 · outbound
The hyperbolic circle problem over Heegner points VanderKam, Rankin-Selberg L-functions in the level aspect, Duke Math
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0ecea011-3811-4250-b915-7279d96b58d0 · outbound
The hyperbolic circle problem over Heegner points 4-6, 581–615
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6ee32337-956c-4a69-ba4a-fd23945c9188 · outbound
The hyperbolic circle problem over Heegner points 2, 279–351
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3273fe7d-21bb-42da-86a0-58ace4b5403b · outbound
The hyperbolic circle problem over Heegner points 2, 135–149
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 52efe6b9-759c-4f8b-aeed-420977c8026f · outbound
The hyperbolic circle problem over Heegner points 4, 837–849
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 539d4922-e688-42a3-ab16-e5938ac0cd93 · outbound
The hyperbolic circle problem over Heegner points Math., vol
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 07669220-e62f-4d01-8dd6-d9d303613089 · outbound
The hyperbolic circle problem over Heegner points Young, Subconvexity and equidistribution of Heegner points in the level aspect , Compos
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 09b7359a-d1fa-4800-b499-bad7b9d82bcb · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ac5eabd3-6b7f-44de-abd6-4a4507eaa1d3 · outbound
The hyperbolic circle problem over Heegner points 2, 365–401
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5da5d33f-e6f1-4fa0-ad40-90ab4936c77e · outbound
The hyperbolic circle problem over Heegner points Montgomery and Robert C
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 61557bb2-684d-41b5-b0d5-23dbb2421d78 · outbound
The hyperbolic circle problem over Heegner points Instytut Matematyczny
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b996feeb-21f3-48b9-b8de-e6b736411f4f · outbound
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dba4698a-f82a-4728-ad24-aeaab284a068 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 30559983-6015-46c5-bbf1-1596f87499d5 · outbound
The hyperbolic circle problem over Heegner points Patterson, A lattice-point problem in hyperbolic space, Mathematika 22 (1975), no
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 07e84b45-8021-4bed-ba9f-024f1e54913a · outbound
The hyperbolic circle problem over Heegner points Petridis and Morten S
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8097ce87-e7f1-4e9b-b5d9-d0fee90a6d9b · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 974194a9-900f-4d2a-b4b2-bd8434ac742d · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d6039579-9c28-4bad-b89a-629ec10edf78 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 73c7d88c-1b0d-4b6e-b2cb-e519e4422229 · outbound
The hyperbolic circle problem over Heegner points 3, 1029–1068
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8249275e-8205-4ddb-a032-c4adce2e7b76 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5cc8bf78-04ef-4741-96f4-e1bae96a7d30 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a2b7bb28-a275-4d84-a673-ff0dd624d627 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e03e88cd-46ed-4063-bdc7-7405fcc7aa78 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 749f5157-7e61-4933-8bca-6b0415625189 · outbound
The hyperbolic circle problem over Heegner points 9, Tata Institute of Fundamental Research, Bombay, 1980
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5171673e-594e-48e2-8918-7ed1605fb5da · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0ec629c3-b8cc-4ab0-a3e5-c0fdafcdfaf5 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 85785f1a-1162-4794-b532-991fc37c7497 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8315725c-6972-4a1e-b675-04f7f3de402a · outbound
The hyperbolic circle problem over Heegner points Young, Weyl-type hybrid subconvexity bounds for twisted L-functions and Heegner points on shrinking sets , J
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a02889a6-6fca-40c8-bed9-e50f299c06a4 · outbound
The hyperbolic circle problem over Heegner points 4, 1151–1161
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2f4374d2-aa18-44a4-9386-6bab8ede6179 · outbound
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 553023f6-8eb5-4364-9d15-cf6235def746 · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c70835b3-53e4-4962-8b3a-1602927c5deb · outbound
The hyperbolic circle problem over Heegner points Unresolved cited work
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation db4da9b6-0ae7-462a-8693-34045b0a66c8 · outbound
The hyperbolic circle problem over Heegner points Francesco Severi
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f499441b-5f97-4cfc-9596-e1299fbc15fb · inbound
The hyperbolic lattice counting problem in large dimensions The hyperbolic circle problem over Heegner points
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48f49a65-067b-41d1-b5ae-5bef7f229cb8 · inbound
Quadratic forms of modular forms The hyperbolic circle problem over Heegner points
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation abe5ea43-d6e8-44d9-8128-d9c81713cfb1 · inbound
Spectral fourth moments of Hecke--Maa{\ss} cusp forms The hyperbolic circle problem over Heegner points
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.