Number Theory

Authors and titles for math.NT in May 2023

[1]  arXiv:2305.00057 [pdf, ps, other]

Title: On angles between linear subspaces in $\mathbb R^4$ and singularity

Authors: Artem Chebotarenko

Comments: in russian

Subjects: Number Theory (math.NT)

[2]  arXiv:2305.00288 [pdf, other]

Title: Computing the semistable reduction of a particular plane quartic curve at $p=3$

Authors: Ole Ossen

Comments: 15 pages, 6 figures. Comments welcome!

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[3]  arXiv:2305.00345 [pdf, ps, other]

Title: A new upper bound on the smallest counterexample to the Mertens conjecture

Authors: John Rozmarynowycz, Seungki Kim

Subjects: Number Theory (math.NT)

[4]  arXiv:2305.00357 [pdf, ps, other]

Title: Finding Galois splitting models to compute local invariants

Authors: Benjamin Carrillo

Subjects: Number Theory (math.NT)

[5]  arXiv:2305.00396 [src]

Title: Some Lucas-type congruences for q-trinomial coefficients

Authors: Yifan Chen, Xiaoxia Wang

Comments: We need to revise the paper

Subjects: Number Theory (math.NT)

[6]  arXiv:2305.00498 [pdf, ps, other]

Title: Ramanujan-inspired series for $1/π$ involving harmonic numbers

Authors: Qinghu Hou, Haihong He, Xiaoxia Wang

Comments: 11 pages

Subjects: Number Theory (math.NT)

[7]  arXiv:2305.00563 [pdf, other]

Title: Dickman multiple polylogarithms and the Lindemann-Furry letters

Authors: David Broadhurst, Stephan Ohlmeyer

Comments: 30 pages, 3 figures

Subjects: Number Theory (math.NT); High Energy Physics - Theory (hep-th)

[8]  arXiv:2305.00643 [pdf, ps, other]

Title: On the arithmetic of special values of $L$-functions for certain abelian varieties with a rational isogeny

Authors: Emmanuel Lecouturier, Jun Wang

Comments: New version with corrections of our previous preprint

Subjects: Number Theory (math.NT)

[9]  arXiv:2305.00765 [pdf, ps, other]

Title: Curious congruences for cyclotomic polynomials II

Authors: Toshiki Matsusaka, Genki Shibukawa

Comments: 7 pages

Subjects: Number Theory (math.NT)

[10]  arXiv:2305.00792 [pdf, other]

Title: On the representation functions of certain numeration systems

Authors: Nian Hong Zhou

Comments: 23+\epsilon$\;$pages, 2 figures

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[11]  arXiv:2305.00836 [pdf, ps, other]

Title: On the existence of Siegel modular forms with extra twists

Authors: Debargha Banerjee, Ronit Debnath

Subjects: Number Theory (math.NT)

[12]  arXiv:2305.00864 [pdf, ps, other]

Title: On Chen's theorem over Piatetski-Shapiro type primes and almost-primes

Authors: Jinjiang Li, Fei Xue, Min Zhang

Comments: 28 pages. arXiv admin note: substantial text overlap with arXiv:2003.04197

Subjects: Number Theory (math.NT)

[13]  arXiv:2305.01017 [pdf, ps, other]

Title: An Exploration Into the Collatz Conjecture with Changed Parameters

Authors: Shouvik Ahmed Antu, Raina Shrimali, Miranda Jones

Comments: 10 pages

Subjects: Number Theory (math.NT)

[14]  arXiv:2305.01047 [pdf, other]

Title: Density of Rational Points Near Flat/Rough Hypersurfaces

Authors: Rajula Srivastava, Niclas Technau

Comments: 95 pages, 3 figures, minor corrections

Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)

[15]  arXiv:2305.01091 [pdf, ps, other]

Title: Rational angle bisectors on the coordinate plane and solutions of Pell's equations

Authors: Takashi Hirotsu

Comments: 14 pages, 3 figures; Minor correction

Subjects: Number Theory (math.NT)

[16]  arXiv:2305.01117 [pdf, ps, other]

Title: The distribution of intermediate prime factors

Authors: Nathan McNew, Paul Pollack, Akash Singha Roy

Subjects: Number Theory (math.NT)

[17]  arXiv:2305.01130 [pdf, ps, other]

Title: Plectic Jacobians

Authors: Michele Fornea

Comments: Minor revisions

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[18]  arXiv:2305.01235 [pdf, ps, other]

Title: Hecke eigenforms for meromorphic cusp forms

Authors: Kathrin Bringmann, Ben Kane, Michael H. Mertens

Comments: 20 pages, comments welcome

Subjects: Number Theory (math.NT)

[19]  arXiv:2305.01262 [pdf, ps, other]

Title: New developments toward the Gonek Conjecture on the Hurwitz zeta-function

Authors: Masahiro Mine

Comments: 41 pages

Subjects: Number Theory (math.NT)

[20]  arXiv:2305.01460 [pdf, ps, other]

Title: P-adic generalizations of hyper-elliptic functions

Authors: Yaacov Kopeliovich

Comments: 7 pages, no figures. preliminary draft

Subjects: Number Theory (math.NT)

[21]  arXiv:2305.01833 [pdf, ps, other]

Title: The integer group determinants for the non-abelian groups of order 18

Authors: Bishnu Paudel, Chris Pinner

Subjects: Number Theory (math.NT)

[22]  arXiv:2305.01856 [pdf, ps, other]

Title: Prime Power Residue and Linear Coverings of Vector Space over $\mathbb{F}_{q}$

Authors: Bhawesh Mishra

Journal-ref: Finite Fields Appl. 89 (2023)

Subjects: Number Theory (math.NT)

[23]  arXiv:2305.01956 [pdf, ps, other]

Title: Lower bounds for the number of number fields with Galois group $GL_2(\mathbb{F}_\ell)$

Authors: Anwesh Ray

Comments: Version 3: Added two paragraphs of exposition in the introduction following the statement of the main result

Subjects: Number Theory (math.NT)

[24]  arXiv:2305.02060 [pdf, ps, other]

Title: On the number of lattice points in thin sectors

Authors: Ezra Waxman, Nadav Yesha

Comments: 15 pages

Subjects: Number Theory (math.NT)

[25]  arXiv:2305.02267 [pdf, ps, other]

Title: Remarks on Nahm sums for symmetrizable matrices

Authors: Yuma Mizuno

Comments: 17 pages

Subjects: Number Theory (math.NT); Mathematical Physics (math-ph); Operator Algebras (math.OA); Quantum Algebra (math.QA)