number theory research paper topics

Rankin–Cohen type differential operators on Hermitian modular forms

• Francis Dunn

Weighted and restricted sum formulas of Euler sums

• Jianqiang Zhao

The shifted convolution L-function for Maass forms

• Dorian Goldfeld
• Gerhardt Hinkle
• Jeffrey Hoffstein

Linear system of hypersurfaces passing through a Galois orbit

• Shamil Asgarli
• Dragos Ghioca
• Zinovy Reichstein

Asymptotics of commuting \(\ell \) -tuples in symmetric groups and log-concavity

• Kathrin Bringmann
• Johann Franke
• Bernhard Heim

\(\ell \) -Adic properties and congruences of \(\ell \) -regular partition functions

• Ahmad El-Guindy
• Mostafa M. Ghazy

Vanishing coefficients in two q -series related to Legendre-signed partitions

• Taylor Daniels

Correction: Quadratic points on dynamical modular curves

• John R. Doyle
• David Krumm

Transcendental nature of p -adic digamma values

• Tapas Chatterjee

On log-concavity of the number of orbits in commuting tuples of permutations

• Raghavendra Tripathi

A spectral theorem for compact representations and non-unitary cusp forms

• Anton Deitmar

Bounding the order of vanishing of cuspidal newforms via the n th centered moments

• Sohom Dutta
• Steven J. Miller

Asymptotic expansion for the Fourier coefficients associated with the inverse of the modular discriminant function \(\Delta \)

• Gargi Mukherjee

On fake subfields of number fields

• Joachim König

Sum representations of Appell–Lauricella functions over finite fields using confluent hypergeometric functions and their applications

• Akio Nakagawa

Large sieve inequalities for periods of Maass forms

• Dimitrios Lekkas
• Marios Voskou

Congruences for Siegel modular forms of nonquadratic nebentypus mod p

• Siegfried Böcherer
• Toshiyuki Kikuta

On the conjecture of Erdős, Joò and Komornik for p -adic numbers

Transcendence of certain sequences of algebraic numbers.

• Mathias L. Laursen

Higher Turán inequalities for the plane partition function

• Badri Vishal Pandey

Publisher Correction: Field change for the Cassels–Tate pairing and applications to class groups

• Adam Morgan
• Alexander Smith

Rank deviations for overpartitions

• Jeremy Lovejoy
• Robert Osburn

Curious subgroups of \({\text {GL}}(2, {\mathbb {Z}}/ N {\mathbb {Z}})\) as direct products of groups of distinct prime-power level

• Garen Chiloyan

A new bound for the orthogonality defect of HKZ reduced lattices

• Christian Porter
• Edmund Dable-Heath

Minimal resolutions of Iwasawa modules

• Takenori Kataoka
• Masato Kurihara

Elliptic normal curves of even degree and theta functions

• Masanobu Kaneko
• Masato Kuwata

Distribution of angles to lattice points seen from a fast moving observer

• Jack Anderson
• Florin P. Boca
• Alexandru Zaharescu

Field change for the Cassels–Tate pairing and applications to class groups

Right-angled triangles with almost prime hypotenuse

• Cihan Sabuncu

Quadratic points on dynamical modular curves

Misiurewicz polynomials and dynamical units, part II

• Robert L. Benedetto
• Vefa Goksel

Primitive algebraic points on curves

• Maleeha Khawaja
• Samir Siksek

The T -adic Galois representation is surjective for a positive density of Drinfeld modules

Periodicity and pure periodicity in alternate base systems.

• Zuzana Masáková
• Edita Pelantová

Ratios conjecture for quadratic twists of modular L -functions

• Liangyi Zhao

Lambda-invariants of Mazur–Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series

• Anthony Doyon
• Antonio Lei

On the local constancy of certain mod p Galois representations

• Abhik Ganguli
• Suneel Kumar

On Pillai’s Problem involving Lucas sequences of the second kind

• Sebastian Heintze
• Volker Ziegler

Macmahon’s sums-of-divisors and their connection to multiple Eisenstein series

• Henrik Bachmann

On the quasi-periodic Schneider continued fractions

• N. Ben Mahmoud

Torsion primes for elliptic curves over degree 8 number fields

Equidistribution of solutions of ternary quadratic congruences modulo prime powers.

• Anup Haldar

The Turán and Laguerre inequalities for quasi-polynomial-like functions

• Krystian Gajdzica

A bijection for tuples of commuting permutations and a log-concavity conjecture

• Abdelmalek Abdesselam
• Pedro Brunialti
• Philip Velie

Diophantine triples with three parameters

• Yasutsugu Fujita
• Maurice Mignotte

Vertical Atkin-Serre conjecture and extremal primes in a family of L -functions

• Henry H. Kim

Modular curves \(X_0(N)\) with infinitely many quartic points

• Maarten Derickx
• Petar Orlić

Ramanujan–Shen’s differential equations for Eisenstein series of level 2

• Masato Kobayashi

Bianchi period polynomials: Hecke action and congruences

• Lewis Combes

A threefold violating a local-to-global principle for rationality

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