Mathematics

• Extended Schröder’s method and the two quadratic convergence formulas

  Shunji Horiguchi

  • Schröder’s method
  • Newton's method

  Downloads ：19 - Submitted 2026-01-10 14:07:29 UTC - Posted 2026-02-16 10:59:21 UTC

  • PDF

• Development of a Combinatorial Search Method for Intuitive Conflict Resolution with Logical Proposition Based on Dual Process Theory, and Verification of Applicability to Ground Identification

  Toshihiro Matsukura

  • combinatorial optimization
  • dual process theory
  • predictive coding
  • hierarchical solution space

  Downloads ：80 - Submitted 2026-01-20 02:36:44 UTC - Posted 2026-01-26 06:28:42 UTC

  • PDF (日本語)

• Reeb graphs of compositions of a real algebraic map locally moment maps with projections Algebraic maps locally moment maps and associated Reeb graphs

  Kitazawa, Naoki

  • (Non-singular) real algebraic manifolds.
  • Real algebraic maps.
  • Smooth maps.
  • Morse-Bott functions.
  • Graphs.
  • Planar embeddings of graphs.
  • Reeb graphs.
  • The product map of two smooth functions.
  • Heegaard splittings.

  Downloads ：46 - Submitted 2025-12-30 00:51:56 UTC - Posted 2026-01-13 06:26:14 UTC

  • PDF

• Higher group theory and algebraic curves

  Shigeru Takamura

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

  Downloads ：205 - 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 ：164 - 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 ：425 - 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 ：474 - 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 ：243 - 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 ：496 - 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 ：434 - 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 ：10219 - 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 ：901 - 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 ：380 - 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 ：514 - 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 ：1067 - Submitted 2022-03-24 05:51:39 UTC - Posted 2022-03-28 06:11:14 UTC

  • PDF