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Number Theory
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Transcendental Brauer–Manin obstructions on singular K3 surfaces
- Mohamed Alaa Tawfik
- Rachel Newton
A remark on the component group of the Sato–Tate group
- Grzegorz Banaszak
- Victoria Cantoral Farfán
Finding integral points on elliptic curves over imaginary quadratic fields
- Aashraya Jha
Bi-quadratic Pólya fields with five distinct ramified primes
- Md. Imdadul Islam
- Jaitra Chattopadhyay
- Debopam Chakraborty
Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville
- Barinder S. Banwait
- Maarten Derickx
Computation of Fourier coefficients of automorphic forms of type \(G_2\)
- Aaron Pollack
Computing modular polynomials by deformation
- Sabrina Kunzweiler
- Damien Robert
Fast square-free decomposition of integers using class groups
- Erik Mulder
Advances in tabulating Carmichael numbers
- Andrew Shallue
- Jonathan Webster
Climbing and descending tall isogeny volcanos
- Steven D. Galbraith
An almost linear time algorithm testing whether the Markoff graph modulo p is connected
- Colby Austin Brown
Factoring polynomials over function fields
- José Felipe Voloch
An algorithm and computation to verify Legendre’s conjecture up to \(7\cdot 10^{13}\)
- Jonathan Sorenson
On counterexamples to the Mertens conjecture
- Seungki Kim
- Phong Q. Nguyen
Bielliptic Shimura curves \(X_0^D(N)\) with nontrivial level
- Oana Padurariu
- Frederick Saia
Open image computations for elliptic curves over number fields
- David Zywina
The distribution of non-Parry Perron numbers and their conjugates
- Hachem Hichri
- Chris Smyth
Completing an universal m -gonal form with a closing unary piece
- Dayoon Park
The paramodular Hecke algebra
- Jennifer Johnson-Leung
- Joshua Parker
- Brooks Roberts
Integral points on a del Pezzo surface over imaginary quadratic fields
- Judith Ortmann
Chow groups of one-dimensional noetherian domains
- Markus Kirschmer
- Jürgen Klüners
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
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The study of properties of integers and prime numbers. | Explore the latest full-text research PDFs, articles, conference papers, preprints and more on NUMBER THEORY. Find methods information ...
The journal now considers and welcomes also papers in Computational Number Theory. This journal has an Open Archive. All published items, including research articles, have unrestricted access and will remain permanently free to read and download 48 months after publication. All papers in the Archive are subject to Elsevier's user license.
Research in Number Theory is a peer-reviewed journal focused on the mathematical disciplines of Number Theory and Arithmetic Geometry.. Publishes high-quality original articles making significant contributions to these research areas. Actively seeks to publish seminal papers in emerging and interdisciplinary areas.
PDF | Number theory is a branch of mathematics that is primarily focused on the study of positive integers, or natural numbers, and their properties... | Find, read and cite all the research you ...
Title: Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders
Research in Number Theory is a peer-reviewed journal focused on the mathematical disciplines of Number Theory and Arithmetic Geometry. Publishes ...
Journal of Number Theory. Supports open access ... Research article Open access ARITHMETIC STATISTICS OF FAMILIES OF INTEGER S n-POLYNOMIALS AND APPLICATION TO CLASS GROUP TORSION. Ilaria Viglino. In Press, Journal Pre-proof, Available online 20 November 2024 View PDF. Article preview.
Some Topics in Number Theory (Refinements, Extensions and Generalisations of a Theorem of Sylvester on the prime factors of a product of consecutive integers), PhD thesis, Shanta Laishram, Tata Institute of Fundamental Research, Mumbai, submitted April 2007
International Journal of Current Research and Modern Education (IJCRME) ISSN (Online): 2455 - 5428 (www.rdmodernresearch.com) Volume I, Issue I, 2016 726 A STUDY ON NUMBER THEORY AND ITS ... Number theory is one of the oldest branches of pure mathematics and one of the largest of course; it concerns questions about numbers, usually meaning ...
These are notes for an 8-lecture rst course in number theory, taught in Oxford as a Part A short option course. The notes have been comprehensively rewritten in 2017, but it was useful to have access to the earlier notes developed by Alan Lauder, Tim Browning, Andrew Cadwell, Roger Heath-Brown, Henri Johnston and Jennifer Balakrishnan. Synopsis.