arXiv math.CAの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-17/Connection Formulae for a Generalised Ramanujan Entire FunctionThere are no Riesz bases of exponentials in balls and trianglesOn Kolmogorov's rearrangement problem and Garsia's conjectureCurved commutators in higher dimensionsMultilinear Mikhlin Multipliers with Degenerate SingularitiesRange Failure, Resolvent Growth, and Resonance in Partially Dissipative SystemsEndpoint eigenfunction restriction

arXiv math.GRの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-17/Localizing the Gardam unit: the support geometry of units in F_2[P] and its non-unique-product relativesInvolution and Commutator Length in PU(n,1)Finite groups with large power-avoiding subsetsAn order automorphism of a Dlab group not induced by conjugationAffine Fixed Points on Flat Manifold PairsEntropy and Translation Length in the Ray GraphA computational framework for multidimensional

Here is what makes Ghostlink a game-changer:Zero-Config Distributed Inference: No manual setup or complex --rpc flags[2][6]. The network automatically discovers peers via UDP/mDNS and splits models using llama.cpp's native RPC backend[2].Sub-Microsecond Core Primitives: Built in Rust with lock-free Single-Producer Single-Consumer (SPSC) ring buffers with spin-wait for DMA-style handoffs[6].Enterprise-Grade Security: Fronted by a secure Go control-plane gateway featuring rate limiting, real

arXiv math.NTの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-18/Asymptotic counting of integers with prime factors $p_{r^a s^b}$Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd partsA new family of maximal curves not covered by the Hermitian curveSimultaneous nonvanishing of quadratic twists via Rankin-Cohen bracketsFinite subgroups of outer

arXiv math.RAの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-18/A Characterization of Local Nilpotence for Derivations of Ore ExtensionsLocally finite Schreier VarietiesOn the trace identities of 2-dimensional tr-prime algebras over a finite fieldGeneralized $t$-Fine and Quasi $t$-Fine RingsOn $\ast$-Reversible and Generalized $\ast$-Reversible RingsTransposed Triple Products and Pro-Symmetric Rings in $\ast$-RingsInduced and Restricted Representations of

arXiv math.ACの新着論文2本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-18/Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers IConductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II

arXiv math.RTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-18/Tachikawa's second conjecture implies the Auslander-Reiten conjectureThe Arthur-Packet Support Equality for Real Reductive GroupsOn the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$A Comparison Theorem for Parahoric Character SheavesA refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categoriesUnitary Branching for $\mathfrak{sl}(m\vert n),

arXiv math.AGの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-18/The Drinfeld associator and $A_\infty$ functorsBalancedness of Normal Bundles of Rational Curves in GrassmanniansA Quadratically Enriched Pushforward for Deligne--Mumford StacksHypersurfaces containing involutive cones in projective symplectic spacesMicrolocal perverse schobers and Radon transformChow Vanishing and Motives of Cluster VarietiesThe Bernstein-Sato Polynomial of the Hankel

In this episode, I reflect on the recent announcement that Anthropic researchers have autoformalized the proof of Fermat's Last Theorem. That is, they instructed an LLM to create a computer-checkable proof, in the Lean prover, of this theorem, following existing paper proofs in the literature. The resulting proof weighs in at 13 million lines of Lean, a staggering amount.

... ...

Number of the Day - "12" This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

We discuss an optimized approach to state–prediction separation by implementing a free pause token that decouples context summarization from next-token prediction. By running a secondary prediction stream that shares weights with the primary backbone but writes no new keys or values, the model achieves better performance without increasing inference latency or memory overhead. The authors utilize a two-pass training split and a shared gated feed-forward network to significantly reduce the com...

A funding round could value OpenAI at one point two trillion dollars, before it's even public. A website charged an AI agent one cent to read a page, and still isn't sure it got paid. Same day, wildly different amounts. We go through what that trillion-dollar number actually rests on, how a new payment protocol lets agents pay by the fraction of a cent, and why platform teams are swapping static login keys for certificates that expire in minutes. Get full access to The AI Practitioner at

In the final episode of our Recommender Systems season, we explore the growing questions of trust, manipulation, privacy, fairness, sustainability, and user control. From fake reviews and shilling attacks to explainable recommendations and user-selected algorithms, we look at what happens when recommender systems must answer not only for what they recommend, but for the consequences of those choices.

Can AI prove the Riemann Hypothesis? Tudor Achim, CEO of Harmonic and creator of Aristotle — the first AI to win IMO gold and solve Erdős problems using the Lean theorem prover — joins Deniz and Thorsten to discuss how mathematical superintelligence is transforming research, education, and the very nature of proof.

This week, Anna catches up with Richard Liang from Peer, formerly ZKP2P. They trace the project’s evolution over the past two years, from their initial ZKP2P product that used ZK email proofs to connect Venmo payments with on-chain USDC, to their use of ZK TLS, and most recently, their move to using TEEs (trusted execution environments) and the rebrand to Peer. Richard breaks down what motivated each shift and how the team has navigated the trade-offs around privacy, speed, and UX.The conversation

Jeff Dunn, President and CEO of Cooperative Benefits Group, joins host Ankit Nanda, FSA, MAAA, FCA, to map the U.S. payer landscape and the forces reshaping it. Drawing on a career that runs from managed care pharmacy into benefits consulting, he sets out how employers, health plans, pharmacy benefit managers, providers, and consultants fit together, where incentives genuinely align and where they only appear to, and what the fiduciary and transparency environment means in practice. The

arXiv math.CAの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-16/Completing the Meijer--Barnes $K$-function: the excluded case $N<0$Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractionsSets with no Riesz bases of exponentialsCommutators with two matrix weightsImproved weighted bounds for the strong maximal functionImproved $L^p$ bounds for the helical maximal function in dimensions $n \geq 5$Rational Points near Monofractal Curves and the

arXiv math.GRの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-16/The Mathieu Property for Compact Connected Lie GroupsCoprime Actions and Characters Non-vanishing on the Fixed-point SubgroupMatroids and isomorphism problems for Bestvina-Brady groupsKazhdan constants for two-element generating sets of $\mathrm{SL}_n(\mathbb Z)$The Fourth Continuous Bounded Cohomology of the Complex Symplectic GroupUnipotence of a double commutator with transvectionsPalindromic

arXiv math.NTの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-17/Distinct Consecutive ProductsTranscendence measure for the values of the logarithmic derivative of the Bessel function $J_0$ at algebraic argumentsLattice points close to a smooth curve and squarefull numbers in short intervals. IIEffective Hecke eigenvalue equidistribution over the Atkin--Lehner subspacesOnly finitely many modular Jacobians are supersingular modulo a given primeOn two forms in