Dashboard | Sugaku

Action	Title	Date	Authors
+ x	Soliton resolution and channels of energy	2025-03-12	Charles Collot Thomas Duyckaerts Carlos E. Kenig Frank Merle
+ x	Visual Proofs for the Cosine of a Sum and the Sine of a Difference	2025-03-11	Masahiro Kasatani
+ x	Harmonizing STEM rigor and cultural responsiveness in college-level statistics	2025-03-11	James Takona
+ x	Epidemic paradox induced by awareness driven network dynamics	2025-03-10	Csegő Balázs Kolok Gergely Ódor Dániel Keliger Márton Karsai
+ x PDF Ask	Some Open Mathematical Problems on Fullerenes	2025-03-10	Artur Bille Victor Matveevich Buchstaber Evgeny Spodarev
+ x	An Asymptotic Approach to Twin Primes in a Prime-Dependent Interval	2025-03-10	Ahmet F. Gocgen Emin M. Buyukyayla
+ x	Theoretical Approaches to Solving the Shortest Vector Problem in NP-Hard Lattice-Based Cryptography with Post-SUSY Theories of Quantum Gravity in Polynomial Time by Orch-Or	2025-03-10	Trevor Nestor
+ x	Morphogenesis and morphometry of brain folding patterns across species	2025-03-10	Sifan Yin Chunzi Liu Gary P. T. Choi Yeonsu Jung Katja Heuer Roberto Toro L. Mahadevan
+ x	Geometric and Topological Properties of Fractal Networks	2025-03-09	J. A. Méndez‐Bermúdez Rosalío Reyes José M. Rodrı́guez José M. Sigarreta
+ x	Algorithmic Theory of Qubit Routing in the Linear Nearest Neighbor Architectures	2025-03-08	Takehiro Ito Naonori Kakimura Naoyuki Kamiyama Yusuke Kobayashi Yoshio Okamoto
+ x	Napoleonic constructions in the hyperbolic plane	2025-03-07	Serena Dipierro Lyle Noakes Enrico Valdinoci
+ x	Practical Applications of Homogeneous Coordinates in Image Transformations Using MATLAB	2025-03-07	N Nazari Noormal Samandari
+ x	Mathematical literacy and learning style: An analysis of students’ PISA performance using Kolb’s framework	2025-03-07	Suci Putri Mariyanti Elvi Nur Asma Riani Siregar
+ x	Collatz Conjecture, Cycles, the 4n – 2 Series, and Positions Within the Series	2025-03-07	Pedro Vicente
+ x	Arithmetic on Continued Fractions	2025-03-07	Michael J. Collins
+ x	Inductive Structures in Mathematical Physics: A Historical and Methodological Perspective	2025-03-06	Wen-Xiang Chen
+ x PDF Ask	Technological Tools Used in Mathematical Thinking at the University Level: A Systematic Review	2025-03-06	Enny Román Castillo J. Mustre de León Edin Becerra Celiz Teresa Juliana Jara Alarcón Yessica Del Milagro Chunga More
+ x	There is more to algebra than meets the eye: the case of blindness	2025-03-06	Andrea Maffia Carola Manolino Elisa Miragliotta
+ x PDF Ask	The Heroic Age of Probability: Kolmogorov, Doob, Lévy, Khinchin and Feller	2025-03-05	Andrew J. Heunis
+ x PDF Ask	Experimenting with the Garsia-Milne Involution Principle	2025-03-04	Shalosh B. Ekhad Doron Zeilberger
+ x	Lax random matrices from Calogero systems	2025-03-03	Jitendra Kethepalli Manas Kulkarni Anupam Kundu Herbert Spohn
+ x PDF Ask	On the Determination of Centers of Mass via Fractal Calculus and Its Applications in Board Games	2025-03-02	Josué N. Gutiérrez-Corona Israel Garduño-Bonilla Luis Alberto Quezada-Téllez Guillermo Fernández‐Anaya Jorge E. Macías‐Díaz
+ x	Games Against the House with an Introduction to Probability Theory	2025-03-01
+ x	The Gauss Bonnet Theorem for Surfaces in ℝ<sup>3</sup>	2025-03-01
+ x	When Am I (N)ever Going to Use This? How Algebraic Functions Are Used in STEM-Related Careers	2025-03-01	Candace Walkington Matthew L. Bernacki Elizabeth Leyva Brooke Istas
+ x	Why statistical innovations?	2025-03-01	Elise F. Zipkin Kathryn L. Cottingham
+ x	Math’s Newest Assistants	2025-03-01	Christopher Purcell
+ x PDF Ask	Science of a coffee cup: A physicist walks into a bar…	2025-03-01	Aleksi Bossart Romain Fleury Benjamin Apffel
+ x	Elementary Utility Theory	2025-03-01
+ x	Autonomous Dynamical Systems and the Poincare–Bendixson Theorem	2025-03-01
+ x PDF Ask	Unveiling Emerging Trends and Potential Research Themes in Future Ethnomathematics Studies: A Global Bibliometric Analysis (From Inception to 2024)	2025-02-28	Akbar Nasrum Achmad Salido Chairuddin Chairuddin
+ x	A COUNTEREXAMPLE TO ELAYDI’S CONJECTURE	2025-02-28	İsmail Alper Güvey
+ x	Numerical Simulation of Infectious Disease Spread Using the SIR Model: an Application of Euler's Method	2025-02-28	Suryo Widodo Bambang Agus Sulistyono Yuni Katminingsih
+ x PDF Ask	Topological data analysis in air traffic management: The shape of big flight data sets	2025-02-27	Manuel Cuerno Luis Guijarro Rosa María Arnaldo Valdés Víctor Fernando Gómez Comendador
+ x PDF Ask	Unveiling the importance of nonshortest paths in quantum networks	2025-02-26	Xinqi Hu Gaogao Dong Kim Christensen Hanlin Sun Jingfang Fan Zihao Tian Jianxi Gao Shlomo Havlin Renaud Lambiotte Xiangyi Meng
+ x PDF Ask	Robust estimation of the intrinsic dimension of data sets with quantum cognition machine learning	2025-02-26	Luca Candelori Alexander G. Abanov Jeffrey S. Berger Cameron J. Hogan Vahagn Kirakosyan Kharen Musaelian Ryan Samson James E. T. Smith D. Villani Martin T. Wells
+ x PDF Ask	From portfolio optimization to quantum blockchain and security: a systematic review of quantum computing in finance	2025-02-26	Abha Satyavan Naik Esra Yeniaras Gerhard Hellstern Grishma Prasad Sanjay Vishwakarma
+ x	Innovative teaching modules utilizing discovery learning to strengthen mathematical problem-solving skills	2025-02-25	Syifa Ismayanti Iik Nurhikmayati Mohamad Gilar Jatisunda
+ x	Unveiling Lagrange’s Theorem and its Applications in Proving other Theorems	2025-02-25	Shaobo Lin
+ x	Poetry projects and activities help make students well‐versed in statistics	2025-02-25	Lawrence M. Lesser

Example

A converse theorem for the extended Selberg Class of L-Functions (2025)

By: Ralph Furmaniak

Journal: Annals of Mathematics

Generated by 14B_ref

Abstract

We prove that the functional equation and the generalized Ramanujan conjecture are sufficient to uniquely determine the extended Selberg class of L-functions. The main ingredients of the proof are the Voronoi summation formula and the prime number theorem for the extended Selberg class.

References

On the structure of the Selberg class, V: 1 < d < 5/3
On the structure of the Selberg class, III: invariants and conjectures
On the structure of the Selberg class, VII: 1<d<2
On the structure of the Selberg class, IV: basic invariants
The Riemann Hypothesis
A converse theorem for the extended Selberg class
Axiomatic Theory of L-Functions: the Selberg Class
On the structure of the Selberg class, VII: 1 < d < 5/3
On the structure of the Selberg class, VIII: 0≤d≤1/2
On the structure of the Selberg class, VI: non-linear twists
Axiomatic Theory of L-Functions: An Intermediate Model
On the structure of the Selberg class, II: invariants and conjectures
On the structure of the Selberg class, IX: non-linear twists
On the structure of the Selberg class, I: 0≤d≤1
On the structure of the Selberg class, V: basic invariants
A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups

With millions of academic papers, the top foundation models, and specialized models we have trained, Sugaku aims to help you with research. Please share, and provide feedback on our Discord.

Recent suggested papers

The more you use Sugaku the more personalized the feed becomes.

Ask AI

If you have a question in mind you can send it to all of the major foundation models (Sugaku MA-1 coming soon)

Invent Paper Ideas

If you need a brainstorming nudge, starting with a potential title or coauthors, Sugaku can generate a paper idea.

A converse theorem for the extended Selberg Class of L-Functions (2025)

By: Ralph Furmaniak

Journal: Annals of Mathematics

Abstract

References

Mathematics Topics

Explore research across different areas of mathematics