Nobuo Sato: The enhanced polylogarithm conjecture in weight two for imaginary quadratic fields https://arxiv.org/abs/2611.06002 https://arxiv.org/pdf/2611.06002 https://arxiv.org/html/2611.06002
November 5, 2026 at 6:49 AM
Nobuo Sato: The enhanced polylogarithm conjecture in weight two for imaginary quadratic fields https://arxiv.org/abs/2611.06002 https://arxiv.org/pdf/2611.06002 https://arxiv.org/html/2611.06002
Attempting to catch up with #mathober, here's my zine in response to the prompt for day 22, which is POLYLOGARITHM - hard to draw 4D plots but I've found some fun facts about it! PDF: https://katiesteckles.co.uk/mo22
October 24, 2026 at 6:29 PM
Attempting to catch up with #mathober, here's my zine in response to the prompt for day 22, which is POLYLOGARITHM - hard to draw 4D plots but I've found some fun facts about it! PDF: https://katiesteckles.co.uk/mo22
Mathober Day 22 - Polylogarithm
The polylogarithm is a mathematical function that generalizes the logarithm and is defined by an infinite series.
This uses 70 terms of its series to determine colour ,size and brightness.
openprocessing.org/@speters/304...
#p5js #mathober #mathober22
The polylogarithm is a mathematical function that generalizes the logarithm and is defined by an infinite series.
This uses 70 terms of its series to determine colour ,size and brightness.
openprocessing.org/@speters/304...
#p5js #mathober #mathober22
October 24, 2026 at 1:01 AM
Mathober Day 22 - Polylogarithm
The polylogarithm is a mathematical function that generalizes the logarithm and is defined by an infinite series.
This uses 70 terms of its series to determine colour ,size and brightness.
openprocessing.org/@speters/304...
#p5js #mathober #mathober22
The polylogarithm is a mathematical function that generalizes the logarithm and is defined by an infinite series.
This uses 70 terms of its series to determine colour ,size and brightness.
openprocessing.org/@speters/304...
#p5js #mathober #mathober22
#mathober for today - polylogarithm
Code: fractalkitty.org/e/day-22
Desmos: www.desmos.com/calculator/o...
Code: fractalkitty.org/e/day-22
Desmos: www.desmos.com/calculator/o...
October 23, 2026 at 6:22 AM
#mathober for today - polylogarithm
Code: fractalkitty.org/e/day-22
Desmos: www.desmos.com/calculator/o...
Code: fractalkitty.org/e/day-22
Desmos: www.desmos.com/calculator/o...
A video essay on the polylogarithm
There's a whole family of logarithm-like functions most people never hear about, called polylogarithms.
There's a whole family of logarithm-like functions most people never hear about, called polylogarithms.
A video essay on the polylogarithm
There's a whole family of logarithm-like functions most people never hear about, called polylogarithms.
youtu.be
October 10, 2026 at 3:15 PM
A video essay on the polylogarithm
There's a whole family of logarithm-like functions most people never hear about, called polylogarithms.
There's a whole family of logarithm-like functions most people never hear about, called polylogarithms.
Logarish
Video: youtu.be/DxH9IYMbZsM
#mathart #mathober #mathober22 #Polylogarithm #Mathober2026
Code #HydraVideoSynth
Blog: blog.illestpreacha.com/mathober2026...
#Geometry #Animation #CreativeCoding #livecoding
Video: youtu.be/DxH9IYMbZsM
#mathart #mathober #mathober22 #Polylogarithm #Mathober2026
Code #HydraVideoSynth
Blog: blog.illestpreacha.com/mathober2026...
#Geometry #Animation #CreativeCoding #livecoding
Mathober2026 Polylogarithm Logarish
YouTube video by Illest Preacha
youtu.be
October 9, 2026 at 7:41 PM
Evaporate the polylogarithm nonperturbatively
October 3, 2026 at 6:00 PM
Evaporate the polylogarithm nonperturbatively
Mathober prompts have been posted and mathober website updated
www.fractalkitty.com/mathober-202...
and mathober.com
#mathober #mathober2026 #mathart
www.fractalkitty.com/mathober-202...
and mathober.com
#mathober #mathober2026 #mathart
September 10, 2026 at 9:59 PM
Mathober prompts have been posted and mathober website updated
www.fractalkitty.com/mathober-202...
and mathober.com
#mathober #mathober2026 #mathart
www.fractalkitty.com/mathober-202...
and mathober.com
#mathober #mathober2026 #mathart
Chứng minh các định lý de Finetti hàm mũ cho các trạng thái Gaussian fermionic với các giới hạn lỗi cải thiện theo cấp hàm mũ theo kích thước hệ thống và tỷ lệ polylogarithm với chiều không gian Hilbert, cho phép xấp xỉ tốt hơn cho cả các hệ thống con lượng tử lớn và nhỏ.
Định lý de Finetti Hàm mũ cho các Trạng thái Gaussian Fermionic
iq.fp2.dev
July 29, 2026 at 4:52 AM
Chứng minh các định lý de Finetti hàm mũ cho các trạng thái Gaussian fermionic với các giới hạn lỗi cải thiện theo cấp hàm mũ theo kích thước hệ thống và tỷ lệ polylogarithm với chiều không gian Hilbert, cho phép xấp xỉ tốt hơn cho cả các hệ thống con lượng tử lớn và nhỏ.
Các phương trình cụm ghép tuyến tính đa tham chiếu có thể được giải trên máy tính lượng tử thông qua bộ giải tuyến tính với điều chỉnh số điều kiện polylogarithm, cho thấy ưu thế hàm mũ cho các ứng dụng hóa học lượng tử.
#HóaHọcLượngTử #ThuậtToánLượngTử #NghiênCứu
#HóaHọcLượngTử #ThuậtToánLượngTử #NghiênCứu
Bộ giải tuyến tính lượng tử cho Hóa học lượng tử: Triển vọng Ưu thế Hàm mũ
iq.fp2.dev
July 10, 2026 at 5:21 AM
Các phương trình cụm ghép tuyến tính đa tham chiếu có thể được giải trên máy tính lượng tử thông qua bộ giải tuyến tính với điều chỉnh số điều kiện polylogarithm, cho thấy ưu thế hàm mũ cho các ứng dụng hóa học lượng tử.
#HóaHọcLượngTử #ThuậtToánLượngTử #NghiênCứu
#HóaHọcLượngTử #ThuậtToánLượngTử #NghiênCứu
Các nhà nghiên cứu đã chứng minh hiệu suất đột phá trong việc đơn giản hóa mạch lượng tử, giảm tỷ lệ độ sâu từ đa thức xuống polylogarithm khi xấp xỉ các mạch có thể điều chỉnh bằng các mạch cố định. Điều này cho phép tính toán lượng tử thực tế trên phần cứng hạn chế tài nguyê...
Tỷ lệ Polylogarithm cho phép xấp xỉ hiệu quả mạch lượng tử cố định
iq.fp2.dev
July 3, 2026 at 3:34 PM
Các nhà nghiên cứu đã chứng minh hiệu suất đột phá trong việc đơn giản hóa mạch lượng tử, giảm tỷ lệ độ sâu từ đa thức xuống polylogarithm khi xấp xỉ các mạch có thể điều chỉnh bằng các mạch cố định. Điều này cho phép tính toán lượng tử thực tế trên phần cứng hạn chế tài nguyê...
The polylogarithm function (in Isabelle/HOL). ~ Manuel Eberl. www.isa-afp.org/entries/Poly... #ITP #IsabelleHOL #Math
The Polylogarithm Function
www.isa-afp.org
November 24, 2023 at 10:15 AM
The polylogarithm function (in Isabelle/HOL). ~ Manuel Eberl. www.isa-afp.org/entries/Poly... #ITP #IsabelleHOL #Math
Congrats, you just proved black-brane viscosity with 72 qubits nobody can run. Polylogarithm grant money flows smoother than any quantum fluid.
Black Hole Maths Unlocks Secrets Of How Energy Flows In Exotic Matter
Researchers have calculated transport coefficients for a theoretical material, relevant to understanding strong interactions, extending previous calculations to higher orders and generalising the results to multiple dimensions using complex mathematical functions called polylogarithms.
quantumzeitgeist.com
February 13, 2026 at 10:03 PM
Congrats, you just proved black-brane viscosity with 72 qubits nobody can run. Polylogarithm grant money flows smoother than any quantum fluid.
combination of accuracy and efficiency. We also present for the first time a derivation of the polylogarithm form of these integrals and show that modern approaches to polylogarithm evaluation are suitable for numerically evaluating incomplete Planck [3/4 of https://arxiv.org/abs/2503.08892v1]
March 13, 2025 at 6:12 AM
combination of accuracy and efficiency. We also present for the first time a derivation of the polylogarithm form of these integrals and show that modern approaches to polylogarithm evaluation are suitable for numerically evaluating incomplete Planck [3/4 of https://arxiv.org/abs/2503.08892v1]
Polylogarithm Values at a Golden Ratio-Based Argument
L: https://zenodo.org/records/15696357
C: https://news.ycombinator.com/item?id=44316678
posted on 2025.06.19 at 04:44:57 (c=0, p=3)
L: https://zenodo.org/records/15696357
C: https://news.ycombinator.com/item?id=44316678
posted on 2025.06.19 at 04:44:57 (c=0, p=3)
June 22, 2025 at 9:05 AM
Polylogarithm Values at a Golden Ratio-Based Argument
L: https://zenodo.org/records/15696357
C: https://news.ycombinator.com/item?id=44316678
posted on 2025.06.19 at 04:44:57 (c=0, p=3)
L: https://zenodo.org/records/15696357
C: https://news.ycombinator.com/item?id=44316678
posted on 2025.06.19 at 04:44:57 (c=0, p=3)
June 22, 2025 at 10:00 AM
Seems not-crazy at a quick glance. Pull requests welcome (main challenge is that TMB doesn't have a polylog en.wikipedia.org/wiki/Polylog... function, wd have to implement). (We did add the Bell distribution [Castellares et al 2018 doi.org/10.1016/j.ap... ] recently, although it's not in NEWS ...)
Polylogarithm - Wikipedia
en.wikipedia.org
December 4, 2024 at 5:56 PM
Seems not-crazy at a quick glance. Pull requests welcome (main challenge is that TMB doesn't have a polylog en.wikipedia.org/wiki/Polylog... function, wd have to implement). (We did add the Bell distribution [Castellares et al 2018 doi.org/10.1016/j.ap... ] recently, although it's not in NEWS ...)
Then we get even more stuff like that plus a polylogarithm. (This is not the standard Li(x) polylogarithm but a relative).
January 31, 2025 at 4:24 PM
Then we get even more stuff like that plus a polylogarithm. (This is not the standard Li(x) polylogarithm but a relative).
Polylogarithm
what function is the biggest jumpscare to you. i'll go first, clear choice for me at least it's obviously the gamma function.
March 13, 2026 at 12:42 AM
Polylogarithm
Pawan Singh Mehta, Biswajyoti Saha: Ramaswami Type translation formulae for the polylogarithm functions https://arxiv.org/abs/2601.02921 https://arxiv.org/pdf/2601.02921 https://arxiv.org/html/2601.02921
January 7, 2026 at 6:40 AM
Pawan Singh Mehta, Biswajyoti Saha: Ramaswami Type translation formulae for the polylogarithm functions https://arxiv.org/abs/2601.02921 https://arxiv.org/pdf/2601.02921 https://arxiv.org/html/2601.02921
Hongyuan Rui, Ce Xu: Contour Integrations and Parity Results of Cyclotomic Euler Sums and Multiple Polylogarithm Function https://arxiv.org/abs/2509.00638 https://arxiv.org/pdf/2509.00638 https://arxiv.org/html/2509.00638
September 3, 2025 at 6:40 AM
Hongyuan Rui, Ce Xu: Contour Integrations and Parity Results of Cyclotomic Euler Sums and Multiple Polylogarithm Function https://arxiv.org/abs/2509.00638 https://arxiv.org/pdf/2509.00638 https://arxiv.org/html/2509.00638
supplementary law by providing an explicit condition for $(q/p)_q = 1$, when $p$ has a special form $p = \sum_{i=0}^{q-1} m^i n^{q-1-i}$. This condition is expressed in terms of the polylogarithm $\mathrm{Li}_{1-q}(x)$ of negative index. Our proof [2/3 of https://arxiv.org/abs/2504.11666v1]
April 17, 2025 at 6:05 AM
supplementary law by providing an explicit condition for $(q/p)_q = 1$, when $p$ has a special form $p = \sum_{i=0}^{q-1} m^i n^{q-1-i}$. This condition is expressed in terms of the polylogarithm $\mathrm{Li}_{1-q}(x)$ of negative index. Our proof [2/3 of https://arxiv.org/abs/2504.11666v1]
arXiv:2501.11303v1 Announce Type: new
Abstract: In this paper, we establish some new identities of integrals involving multiple polylogarithm functions and their level two analogues in terms of Hurwitz-type multiple zeta (star) values. Using [1/2 of https://arxiv.org/abs/2501.11303v1]
Abstract: In this paper, we establish some new identities of integrals involving multiple polylogarithm functions and their level two analogues in terms of Hurwitz-type multiple zeta (star) values. Using [1/2 of https://arxiv.org/abs/2501.11303v1]
January 22, 2025 at 1:08 PM
arXiv:2501.11303v1 Announce Type: new
Abstract: In this paper, we establish some new identities of integrals involving multiple polylogarithm functions and their level two analogues in terms of Hurwitz-type multiple zeta (star) values. Using [1/2 of https://arxiv.org/abs/2501.11303v1]
Abstract: In this paper, we establish some new identities of integrals involving multiple polylogarithm functions and their level two analogues in terms of Hurwitz-type multiple zeta (star) values. Using [1/2 of https://arxiv.org/abs/2501.11303v1]
Pawan Singh Mehta, Biswajyoti Saha
Ramaswami Type translation formulae for the polylogarithm functions
https://arxiv.org/abs/2601.02921
Ramaswami Type translation formulae for the polylogarithm functions
https://arxiv.org/abs/2601.02921
January 7, 2026 at 9:02 PM
Pawan Singh Mehta, Biswajyoti Saha
Ramaswami Type translation formulae for the polylogarithm functions
https://arxiv.org/abs/2601.02921
Ramaswami Type translation formulae for the polylogarithm functions
https://arxiv.org/abs/2601.02921