Mathematics

• Higher group theory and algebraic curves

  Shigeru Takamura

  • Higher order structure
  • Bézout type theorem
  • Intersection theory
  • Combinatorial formula
  • Fibration
  • Group action

  Downloads ：92 - Submitted 2025-10-15 09:35:44 UTC - Posted 2025-10-21 01:08:31 UTC

  • PDF (日本語)

• Converting non-periodic tilings with Tile(1, 1) into tilings with three types of pentagons, II

  Teruhisa Sugimoto

  • pentagon
  • rhombus
  • tiling
  • non-periodic
  • aperiodic

  Downloads ：120 - Submitted 2025-06-03 00:16:40 UTC - Posted 2025-06-05 10:14:03 UTC

  • PDF

• Non vanishing of Hecke L values

  Takuya Tanaka

  • Hecke L-values
  • Mordell−Weil rank

  Downloads ：365 - Submitted 2024-09-11 10:31:37 UTC - Posted 2025-02-12 23:20:49 UTC - Versions: 2

  • PDF_ver.2 (日本語)

• Symmetries and Group-Invariant Solutions of Semi-Discrete Equations

  Linyu Peng, Shigeru Tomita, Mamoru Gunji

  • Semi-Discrete Equations
  • Symmetries
  • Lie Groups
  • Similarity Reduction
  • Group- Invariant Solutions

  Downloads ：400 - Submitted 2024-11-14 13:00:47 UTC - Posted 2025-01-07 02:49:52 UTC - Versions: 2

  • PDF_ver.2 (日本語)

• Bilateral Lerch theta and theta star function and Quadrilateral Lerch zeta and zeta star functions

  Takashi Nakamura

  • functional equation
  • modular relation
  • theta functions
  • zeta functions

  Downloads ：190 - Submitted 2024-09-02 06:54:32 UTC - Posted 2024-09-04 00:39:18 UTC

  • PDF

• L$-functions with the Lindel\"of and Riemann hypotheses and trivial zeros at even negative integers

  Takashi Nakamura

  • L-functions
  • Lindeloef hypothesis
  • Riemann's functional equation
  • Riemann hypothesis
  • trivial zeros

  Downloads ：436 - Submitted 2024-02-13 06:05:39 UTC - Posted 2024-05-27 10:06:28 UTC - Versions: 2

  • PDF_ver.2

• Stability of Reeb Ordering by Interleaving Distance

  Tomoki Uda

  • Reeb graph
  • Topological Data Analysis
  • interleaving distance
  • partially ordered space

  Downloads ：378 - Submitted 2023-10-03 08:14:07 UTC - Posted 2023-10-10 01:44:31 UTC

  • PDF

• Proof that Collatz conjecture is positive using the classiification in binary, the general term of progression of differences and graph theory

  Makoto Matsumoto

  • Collatz Conjecture
  • 3x 1
  • progression of differences
  • expected value
  • digit
  • binary
  • classification
  • a multiple of 3

  Downloads ：9982 - Submitted 2022-05-14 04:27:14 UTC - Posted 2023-08-29 07:18:35 UTC - Versions: 4

  • PDF_ver.4

• L-functions with Riemann's functional equation and the Riemann hypothesis

  Takashi Nakamura

  • L-functions
  • Riemann's functional equation
  • Riemann hypothesis

  Downloads ：795 - Submitted 2023-01-03 23:58:50 UTC - Posted 2023-02-01 04:40:52 UTC - Versions: 3

  • PDF_ver.3

• On a simple dynamical map with a flooring function

  Toru Ohira

  • flooring function
  • nonlinear dynamics
  • dynamical map

  Downloads ：353 - Submitted 2022-07-21 04:15:37 UTC - Posted 2022-07-29 07:37:19 UTC

  • PDF

• Delay Switching across the Stability Boundary

  Toru Ohira

  • Delay
  • Feedback
  • Stochasticity
  • Asymptotic Stability
  • Stability Control
  • Switched Systems

  Downloads ：476 - Submitted 2022-04-06 10:08:11 UTC - Posted 2022-04-12 01:59:36 UTC

  • PDF

• Quiver Gauge Theory and Quiver W-algebra

  Taro Kimura

  • Gauge theory
  • Quiver variety
  • W-algebra

  Downloads ：1011 - Submitted 2022-03-24 05:51:39 UTC - Posted 2022-03-28 06:11:14 UTC

  • PDF