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Number Theory

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number theory research papers

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

number theory research papers

Finding integral points on elliptic curves over imaginary quadratic fields

  • Aashraya Jha

number theory research papers

Bi-quadratic Pólya fields with five distinct ramified primes

  • Md. Imdadul Islam
  • Jaitra Chattopadhyay
  • Debopam Chakraborty

number theory research papers

Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville

  • Barinder S. Banwait
  • Maarten Derickx

number theory research papers

Computation of Fourier coefficients of automorphic forms of type \(G_2\)

  • Aaron Pollack

Computing modular polynomials by deformation

  • Sabrina Kunzweiler
  • Damien Robert

number theory research papers

Fast square-free decomposition of integers using class groups

  • Erik Mulder

number theory research papers

Advances in tabulating Carmichael numbers

  • Andrew Shallue
  • Jonathan Webster

number theory research papers

Climbing and descending tall isogeny volcanos

  • Steven D. Galbraith

number theory research papers

An almost linear time algorithm testing whether the Markoff graph modulo p is connected

  • Colby Austin Brown

number theory research papers

Factoring polynomials over function fields

  • José Felipe Voloch

number theory research papers

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

number theory research papers

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

number theory research papers

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

number theory research papers

Chow groups of one-dimensional noetherian domains

  • Markus Kirschmer
  • Jürgen Klüners

number theory research papers

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

number theory research papers

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

number theory research papers

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

number theory research papers

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

number theory research papers

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

  • Jack Anderson
  • Florin P. Boca
  • Alexandru Zaharescu

number theory research papers

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

number theory research papers

Right-angled triangles with almost prime hypotenuse

  • Cihan Sabuncu
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Online Theses in Number Theory

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  1. (PDF) Some Interesting Applications Of Number Theory

    number theory research papers

  2. INTEGER CHEAT SHEET

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  3. PPT

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  4. Elementary Number Theory in Nine Chapters (Edition 2) (Paperback

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  5. Number Theory

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  6. INTEGER CHEAT SHEET

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COMMENTS

  1. 135264 PDFs

    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 ...

  2. Journal of Number Theory

    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.

  3. Home

    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.

  4. (PDF) Number Theory

    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 ...

  5. Number Theory

    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

  6. Articles

    Research in Number Theory is a peer-reviewed journal focused on the mathematical disciplines of Number Theory and Arithmetic Geometry. Publishes ...

  7. Journal of Number Theory

    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.

  8. Online Theses in Number Theory

    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

  9. PDF A STUDY ON NUMBER THEORY AND ITS APPLICATIONS

    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 ...

  10. PDF Part A Number Theory 2017 Ben Green

    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.