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2

Average of central L-values for \mathrm{GL}(2)\times\mathrm{GL}(1), hybrid subconvexity, and simultaneous nonvanishing.
Yang, Liyang
Transactions of the American Mathematical Society. Dec2025, Vol. 378 Issue 12, p8391-8435. 45p.

L-functions ALGEBRAIC number theory DIRICHLET series
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3

Upper bounds for the lowest first zero in families of cuspidal newforms.
Arora, Palak ; Bruda, Glenn ; Fang, Bruce ; et al.
Journal of Number Theory. Dec2025, Vol. 277, p262-289. 28p.

RIEMANN hypothesis L-functions LOGICAL prediction DENSITY FAMILIES
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4

Zeros of period polynomials for symmetric power L-functions.
Dicks, Robert ; Xue, Hui
International Journal of Number Theory. Nov2025, p1-13. 13p.

L-functions RIEMANN hypothesis ZERO (The number) ZETA functions FUNCTIONAL equations PERIODIC functions
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5

Hybrid subconvexity bounds for twists of GL(3)×GL(2) L-functions.
Shao, Chenchen ; Sun, Yutian
International Journal of Number Theory. Nov2025, Vol. 21 Issue 10, p2461-2495. 35p.

L-functions NUMBER theory MATHEMATICAL functions MATHEMATICS
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6

On convergence of multiple L-values.
AGEJI, Keita ; IJU, Daiki ; NAKAMURA, Takashi
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Nov2025, Vol. 101 Issue 9, p47-50. 4p.

L-functions MATHEMATICAL series MATHEMATICS NUMERICAL functions MATHEMATICAL analysis
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7

Exceptional Zeros of Rankin–Selberg L-Functions and Joint Sato–Tate Distributions.
Thorner, Jesse
IMRN: International Mathematics Research Notices. Oct2025, Vol. 2025 Issue 20, p1-16. 16p.

L-functions DISTRIBUTION (Probabilit... FIELD extensions (Mathem... AUTOMORPHIC forms
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8

An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n.
Shakya, Babita ; Kumar Jha, Abhash ; Maji, Bibekananda ; et al.
International Journal of Number Theory. Oct2025, Vol. 21 Issue 9, p2037-2052. 16p.

ZETA functions L-functions ASYMPTOTIC analysis MELLIN transform AUTOMORPHIC forms AUTOMORPHIC functions
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9

PRIME IDEAL RACES WITH SEVERAL COMPETITORS
Bailleul, A ; Hayani, M ; Ecole Normale Supérieure Paris-Saclay (ENS Paris Saclay) ; et al.

Chebyshev's bias Artin L-functions Central limit theorem Galois theory Prime number races [MATH.MATH-NT]Mathematic... …
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10

Computing Euler products and coefficients of classical modular forms for twisted L-functions
Molin, Pascal ; Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)) ; Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité) ; et al.

Modular forms and associ... [INFO.INFO-SC]Computer S... Symbolic Computation [cs... [MATH.MATH-NT]Mathematic... Number Theory [math.NT]
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11

First Moment of Central Values of Quadratic Dirichlet L-functions
Gao, Peng ; Zhao, Liangyi ; Beihang University (BUAA) ; et al.

Mathematics Subject Clas... Mathematics Subject Clas... 11M41 quadratic Dirichle... first moment double Dirichlet series [MATH]Mathematics [math]
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12

A New Method for Locating Zeros of Dirichlet L-functions Using Abel-Plana Formula and Symmetry
Zilpa, Yonatan ; Technion - Israel Institute of Technology [Haifa]

Dirichlet L-functions Ab... Dirichlet L-functions Abel-Plana Formula Symmetry [MATH]Mathematics [math] [MATH.MATH-NT]Mathematic... …
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13

Numerical investigation of lower order biases in moment expansions of one parameter families of elliptic curves.
Cheek, Timothy ; Gilman, Pico ; Jaber, Kareem ; et al.
Journal of Number Theory. Feb2026, Vol. 279, p929-947. 19p.

ELLIPTIC curves L-functions NUMERICAL analysis HYPOTHESIS STATISTICAL bias DATABASES …
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14

Iwasawa theory for Rankin-Selberg product at an Eisenstein prime.
Jha, Somnath ; Shekhar, Sudhanshu ; Vangala, Ravitheja
Journal of Number Theory. Feb2026, Vol. 279, p348-410. 63p.

MODULAR forms L-functions CONGRUENCES & residues GALOIS theory
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15

Upper Bounds for Shifted Moments of Quadratic Dirichlet L-Functions over Function Fields
Gao, Peng ; Zhao, Liangyi ; Beihang University (BUAA) ; et al.
Hardy-Ramanujan Journal, 2025, Volume 47 - 2024, ⟨10.46298/hrj.2025.14247⟩

quadratic Dirichlet char... quadratic Dirichlet L-fu... shifted moments upper bounds [MATH]Mathematics [math]
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16

How often if x->x^3 one-to-one in Z/nZ ?
Garet, Olivier ; Institut Élie Cartan de Lorraine (IECL) ; Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)

density of sets L functions MSC (AMS) : 11B05, 11M06... [MATH.MATH-NT]Mathematic... Number Theory [math.NT]
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17

Classification, structure, and associated local zeta functions for a class of p-adic symmetric spaces.
Harinck, Pascale ; Rubenthaler, Hubert ; Centre de Mathématiques Laurent Schwartz (CMLS) ; et al.

Lie algebras p-adic reductive groups prehomogeneous vector sp... zeta functions L-functions p-adic symmetric spaces …
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18

A Fourier–Jacobi Dirichlet series for cusp forms on orthogonal groups.
Psyroukis, Rafail
Research in Number Theory. 9/19/2025, Vol. 11 Issue 4, p1-38. 38p.

DIRICHLET series L-functions ORTHOGONAL functions MODULAR forms
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19

Harper's Beyond Square-Root Conjecture.
Wang, Victor Y ; Xu, Max Wenqiang
IMRN: International Mathematics Research Notices. 9/15/2025, Vol. 2025 Issue 18, p1-22. 22p.

HARPER, Bryce, 1992- L-functions RANDOM matrices ARITHMETIC functions MATHEMATICAL sequences
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20

p-adic Rankin–Selberg L-functions in universal deformation families and functional equations.
Hao, Zeping ; Loeffler, David
Forum Mathematicum. Sep2025, p1. 22p.

L-functions MODULAR forms MATHEMATICAL functions P-adic analysis FUNCTIONAL equations
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