Number Theory

Authors and titles for May 2018

[51] arXiv:1805.03238 [pdf, other]

Title: Period sets of linear recurrences over finite fields and related commutative rings

Michael R. Bush, Danjoseph Quijada

Comments: 16 pages

Journal-ref: Involve 14 (2021) 361-376

Subjects: Number Theory (math.NT)

[52] arXiv:1805.03331 [pdf, other]

Title: On the local density formula and the Gross-Keating invariant with an Appendix `The local density of a binary quadratic form' by T. Ikeda and H. Katsurada

Sungmun Cho

Comments: 32 pages

Subjects: Number Theory (math.NT)

[53] arXiv:1805.03361 [pdf, other]

Title: Chabauty-Coleman experiments for genus 3 hyperelliptic curves

Jennifer S. Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfán, Mirela Çiperiani, Anastassia Etropolski

Comments: 18 pages

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

[54] arXiv:1805.03434 [pdf, other]

Title: Universal sums of generalized pentagonal numbers

Jangwon Ju

Comments: 14 pages

Subjects: Number Theory (math.NT)

[55] arXiv:1805.03484 [pdf, other]

Title: Regulators of elliptic curves

Pascal Autissier, Marc Hindry, Fabien Pazuki

Subjects: Number Theory (math.NT)

[56] arXiv:1805.03548 [pdf, other]

Title: CM Evaluations of the Goswami-Sun Series

Madeline Locus Dawsey, Ken Ono

Journal-ref: Proceedings of Elliptic Integrals, Elliptic Functions, and Modular Forms in Quantum Field Theory. Zeuthen, Germany (Ed. J. Blumlein, et. al.), Springer (2019), 183-193

Subjects: Number Theory (math.NT)

[57] arXiv:1805.03605 [pdf, other]

Title: A New $p$-adic Maass-Shimura operator and Supersingular Rankin-Selberg $p$-adic $L$-functions

Daniel Kriz

Subjects: Number Theory (math.NT)

[58] arXiv:1805.03611 [pdf, other]

Title: On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic

David Burns, Mahesh Kakde, Wansu Kim

Subjects: Number Theory (math.NT)

[59] arXiv:1805.03713 [pdf, other]

Title: Normal numbers and nested perfect necklaces

Verónica Becher, Olivier Carton

Subjects: Number Theory (math.NT)

[60] arXiv:1805.03850 [pdf, other]

Title: Asymptotic lower bound of class numbers along a Galois representation

Tatsuya Ohshita

Comments: 14 pages

Subjects: Number Theory (math.NT)

[61] arXiv:1805.03881 [pdf, other]

Title: High pseudomoments of the Riemann zeta function

Ole Fredrik Brevig, Winston Heap

Comments: This paper has been accepted for publication in Journal of Number Theory

Journal-ref: J. Number Theory 197 (2019), 383--410

Subjects: Number Theory (math.NT)

[62] arXiv:1805.03920 [pdf, other]

Title: Approximation diophantienne et distribution locale sur une surface torique II

Zhizhong Huang

Comments: Revised and shortened this http URL French. Some material will appear in subsequent work. To appear in Bulletin de la Société mathématique de France. Comments still welcome!

Journal-ref: Bulletin de la Soci\'et\'e math\'ematique de France 148 (2), 2020, 189-235

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

[63] arXiv:1805.04042 [pdf, other]

Title: A note on the procedure to find the generic polynomial of a quotient (closely following Adelmann)

Rachel Davis

Comments: notes

Subjects: Number Theory (math.NT)

[64] arXiv:1805.04046 [pdf, other]

Title: Arithmetic of quaternion origami

Rachel Davis, Edray Herber Goins

Subjects: Number Theory (math.NT)

[65] arXiv:1805.04137 [pdf, other]

Title: Nonlift weight two paramodular eigenform constructions

Cris Poor, Jerry Shurman, David S. Yuen

Subjects: Number Theory (math.NT)

[66] arXiv:1805.04233 [pdf, other]

Title: A Note on the Formal Groups of Weighted Delsarte Threefolds

Yasuhiro Goto

Journal-ref: SIGMA 14 (2018), 097, 12 pages

Subjects: Number Theory (math.NT)

[67] arXiv:1805.04330 [pdf, other]

Title: The equidistribution of L-functions of twists by Witt vector Dirichlet characters over function fields

Will Sawin

Comments: 19 pages

Subjects: Number Theory (math.NT)

[68] arXiv:1805.04353 [pdf, other]

Title: Extended Lagrange's four-square theorem

Jesús Lacalle, Laura N. Gatti

Comments: 15 pages

Subjects: Number Theory (math.NT)

[69] arXiv:1805.04480 [pdf, other]

Title: On a question of Schmidt and Summerer concerning $3$-systems

Johannes Schleischitz

Comments: 9 pages

Journal-ref: Commun. Math. 28 (2020), no. 3, 253--262

Subjects: Number Theory (math.NT)

[70] arXiv:1805.04486 [pdf, other]

Title: Explicit expressions for higher order convolutions of Cauchy numbers

José A. Adell, Alberto Lekuona

Subjects: Number Theory (math.NT)

[71] arXiv:1805.04489 [pdf, other]

Title: Convolution identities for scale transformations of Appell polynomials

José A. Adell, Alberto Lekuona

Subjects: Number Theory (math.NT)

[72] arXiv:1805.04598 [pdf, other]

Title: Newton polygons of cyclic covers of the projective line branched at three points

Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang

Comments: to appear in Research Directions in Number Theory, Women in Numbers IV. arXiv admin note: text overlap with arXiv:1805.06914

Subjects: Number Theory (math.NT)

[73] arXiv:1805.04618 [pdf, other]

Title: On the $q$-derivative and $q$-series expansions

Zhi-Guo Liu

Comments: 21 pages

Journal-ref: International Journal of Number Theory 8 (2013)2069--2089

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

[74] arXiv:1805.04640 [pdf, other]

Title: Transfer operators and Hankel transforms between relative trace formulas, II: Rankin-Selberg theory

Yiannis Sakellaridis

Comments: 100pp, to appear in Advances in Mathematics. Following suggestions by the referee, there is now a direct comparison (in Section 10.1) between the local transfer operator and the global manipulations in Venkatesh's thesis, as well as several improvements in presentation

Subjects: Number Theory (math.NT); Representation Theory (math.RT)

[75] arXiv:1805.04892 [pdf, other]

Title: Subconvexity bound for $GL(2)$ L-functions: \lowercase{t}-aspect

Ratnadeep Acharya, Sumit Kumar, Gopal Maiti, Saurabh Kumar Singh

Subjects: Number Theory (math.NT)

[76] arXiv:1805.04940 [pdf, other]

Title: Negative moments of the gaps between consecutive primes

Marek Wolf

Comments: Many improvements and changes. Apparently for the first time the analytical formula for the sum of reciprocals of gaps between consecutive primes is presented

Subjects: Number Theory (math.NT)

[77] arXiv:1805.04963 [pdf, other]

Title: Fields $\mathbb{Q}(\sqrt[3]{d},\zeta_3)$ whose $3$-class group is of type $(9,3)$

Siham Aouissi, Mohamed Talbi, Moulay Chrif Ismaili, Abdelmalek Azizi

Comments: 10 pages

Journal-ref: International Journal of Number Theory (2019)

Subjects: Number Theory (math.NT)

[78] arXiv:1805.04974 [pdf, other]

Title: Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary

Veronika Ertl, Kazuki Yamada

Comments: 46 pages, Replaced version: axiomatized the construction of canonical rigid complexes, and modified typos and confusing explanations. To be published in: Rend. Sem. Mat. Univ. Padova \c{opyright} European Mathematical Society

Subjects: Number Theory (math.NT)

[79] arXiv:1805.05015 [pdf, other]

Title: Some explicit formulas for partial sums of M\"obius functions

Shōta Inoue

Comments: 32 pages

Subjects: Number Theory (math.NT)

[80] arXiv:1805.05080 [pdf, other]

Title: Riordan-Dirichlet group

E. Burlachenko

Subjects: Number Theory (math.NT)

[81] arXiv:1805.05114 [pdf, other]

Title: On numbers $n$ with polynomial image coprime with the $n$th term of a linear recurrence

Daniele Mastrostefano, Carlo Sanna

Journal-ref: Bulletin of the Australian Mathematical Society 99 (2019), 23-33

Subjects: Number Theory (math.NT)

[82] arXiv:1805.05123 [pdf, other]

Title: Large prime factors on short intervals

Jori Merikoski

Comments: 50 pages

Journal-ref: Math. Proc. Camb. Phil. Soc. 170 (2021) 1-50

Subjects: Number Theory (math.NT)

[83] arXiv:1805.05207 [pdf, other]

Title: Coefficients and higher order derivatives of cyclotomic polynomials: old and new

Andrés Herrera-Poyatos, Pieter Moree

Comments: 30 pages, 1 figure, 3 tables, Section 6.1 is based on remarks by Michael Filaseta and Curtis McMullen, appendix by Pedro García-Sánchez giving a different proof of Theorem 1.4 b)

Subjects: Number Theory (math.NT)

[84] arXiv:1805.05386 [pdf, other]

Title: The de Rham isomorphism for Drinfeld modules over Tate algebras

Oğuz Gezmiş, Matthew A. Papanikolas

Comments: 33 pages

Journal-ref: J. Algebra 525 (2019), 454-496

Subjects: Number Theory (math.NT)

[85] arXiv:1805.05438 [pdf, other]

Title: Dihedral Universal Deformations

Shaunak V. Deo, Gabor Wiese

Comments: 43 pages; minor corrections and improvements following referee's comments

Subjects: Number Theory (math.NT)

[86] arXiv:1805.05450 [pdf, other]

Title: The Lind-Lehmer Constant for $\mathbb Z_2^r \times \mathbb Z_{4}^s$

Michael J. Mossinghoff, Vincent Pigno, Christopher Pinner

Comments: 11 pages

Journal-ref: Moscow J. Comb. Number Th. 8 (2019) 151-162

Subjects: Number Theory (math.NT)

[87] arXiv:1805.05454 [pdf, other]

Title: Monodromy of Hyperplane Sections of Curves and Decomposition Statistics over Finite Fields

Alexei Entin

Subjects: Number Theory (math.NT)

[88] arXiv:1805.05626 [pdf, other]

Title: On minimal Besicovitch arrangements

Stéphane Blondeau da Silva (XLIM-MATHIS)

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

[89] arXiv:1805.05697 [pdf, other]

Title: Congruences of parahoric group schemes

Radhika Ganapathy

Comments: The assumption on the residue characteristic that was made in an earlier version of this article has been removed. Some proofs rewritten for clarity

Journal-ref: Alg. Number Th. 13 (2019) 1475-1499

Subjects: Number Theory (math.NT); Representation Theory (math.RT)

[90] arXiv:1805.05862 [pdf, other]

Title: The Birch and Swinnerton-Dyer conjecture for an elliptic curve over $\mathbb{Q}(\sqrt[4]{5})$

Raymond van Bommel

Comments: v2, 11 pages, all comments are appreciated!

Subjects: Number Theory (math.NT)

[91] arXiv:1805.06026 [pdf, other]

Title: Subconvexity for twisted $L$-functions on $\mathrm{GL}_3$ over the Gaussian number field

Zhi Qi

Comments: To appear in Trans. Amer. Math. Soc.. 32 pages

Subjects: Number Theory (math.NT)

[92] arXiv:1805.06134 [pdf, other]

Title: A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lift of half-integral weight

Shuichi Hayashida

Comments: 31 pages

Journal-ref: Mathematika 65 (2019) 897-928

Subjects: Number Theory (math.NT)

[93] arXiv:1805.06186 [pdf, other]

Title: On supercuspidal representations of $SL_n(F)$ associated with tamely ramified extensions

Koichi Takase

Comments: 25 pages, 1 figure

Subjects: Number Theory (math.NT); Representation Theory (math.RT)

[94] arXiv:1805.06269 [pdf, other]

Title: A new proof of a vanishing result due to Berthelot, Esnault, and R\"ulling

Veronika Ertl

Comments: 9 pages

Journal-ref: Journal of Number Theory, 2019

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

[95] arXiv:1805.06279 [pdf, other]

Title: Monochromatic solutions to $x+y=z^2$ in the interval $[N,cN^4]$

Péter Pál Pach

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

[96] arXiv:1805.06309 [pdf, other]

Title: A note on the permutation behaviour of the polynomial $g_{n,q}$

Neranga Fernando

Comments: 5 pages

Subjects: Number Theory (math.NT)

[97] arXiv:1805.06733 [pdf, other]

Title: On probabilistic generalizations of the Nyman-Beurling criterion for the zeta function

Sébastien Darses, Erwan Hillion

Comments: 14 pages

Subjects: Number Theory (math.NT); Probability (math.PR)

[98] arXiv:1805.06831 [pdf, other]

Title: Relating log-tangent integrals with the Riemann zeta function

Lahoucine Elaissaoui, Zine El-Abidine Guennoun

Comments: 20 pages

Subjects: Number Theory (math.NT)

[99] arXiv:1805.06873 [pdf, other]

Title: Modular forms invariant under non-split Cartan subgroups

Pietro Mercuri, Rene Schoof

Subjects: Number Theory (math.NT)

[100] arXiv:1805.06914 [pdf, other]

Title: Newton Polygons Arising for Special Families of Cyclic Covers of the Projective Line

Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang

Comments: This is a post-peer-review, pre-copyedit version of an article will appear in Research in Number Theory. The final authenticated version will be available online at: this http URL

Subjects: Number Theory (math.NT)