Search Results - "Hoffstein, Jeffrey"
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Privately Generated Key Pairs for Post Quantum Cryptography in a Distributed Network
Published in Applied sciences (01-10-2024)“…In the proposed protocol, a trusted entity interacts with the terminal device of each user to verify the legitimacy of the public keys without having access to…”
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Methods to Encrypt and Authenticate Digital Files in Distributed Networks and Zero-Trust Environments
Published in Axioms (01-06-2023)“…The methods proposed in this paper are leveraging Challenge–Response–Pair (CRP) mechanisms that are directly using each digital file as a source of randomness…”
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A signature scheme from the finite field isomorphism problem
Published in Journal of mathematical cryptology (01-01-2020)“…In a recent paper the authors and their collaborators proposed a new hard problem, called the , and they used it to construct a fully homomorphic encryption…”
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An introduction to mathematical cryptography: Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Published 2021“…This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes…”
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Coefficients of Maass Forms and the Siegel Zero
Published in Annals of mathematics (01-07-1994)Get full text
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The shifted convolution L-function for Maass forms
Published in Research in number theory (01-12-2024)“…Let Φ 1 , Φ 2 be Maass forms for S L ( 2 , Z ) with Fourier coefficients C 1 ( n ) , C 2 ( n ) . For a positive integer h the meromorphic continuation and…”
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Nonvanishing Theorems for Automorphic L-Functions on GL(2)
Published in Annals of mathematics (01-09-1995)Get full text
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Determining modular forms on $${SL_2(\mathbb{Z})}$$ by central values of convolution L-functions
Published in Mathematische annalen (01-12-2009)Get full text
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PASS-Encrypt: a public key cryptosystem based on partial evaluation of polynomials
Published in Designs, codes, and cryptography (01-12-2015)“…A new hard problem in number theory, based on partial evaluation of certain classes of constrained polynomials, was introduced in Hoffstein et al. (Secure user…”
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Modular lattice signatures, revisited
Published in Designs, codes, and cryptography (01-03-2020)“…In this paper we revisit the modular lattice signature scheme and its efficient instantiation known as pqNTRUSign. First, we show that a modular lattice…”
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The shifted convolution L-function for Maass forms
Published 11-11-2023“…Let $\Phi_1,\Phi_2$ be Maass forms for $\text{SL}(2,\mathbb Z)$ with Fourier coefficients $C_1(n),C_2(n)$. For a positive integer $h$ the meromorphic…”
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Determining modular forms on by central values of convolution L-functions
Published in Mathematische annalen (2009)“…We show that a cuspidal normalized Hecke eigenform g of level one and even weight is uniquely determined by the central values of the family of Rankin– Selberg…”
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Weyl group multiple Dirichlet series III: Eisenstein series and twisted unstable A r
Published in Annals of mathematics (01-07-2007)Get full text
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Random small Hamming weight products with applications to cryptography
Published in Discrete Applied Mathematics (08-08-2003)“…There are many cryptographic constructions in which one uses a random power or multiple of an element in a group or a ring. We describe a fast method to…”
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Cubic twists of GL(2) automorphic L-functions
Published in Inventiones mathematicae (01-04-2005)“…Let (ProQuest: Formulae and/or non-USASCII text omitted; see image) and let π be a cuspidal automorphic representation of (ProQuest: Formulae and/or…”
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Double Dirichlet series and the n -th order twists of Hecke L -series
Published in Mathematische annalen (01-10-2003)Get full text
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Weyl group multiple Dirichlet series III : Eisenstein series and twisted unstable Ar
Published in Annals of mathematics (01-07-2007)Get full text
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Shifted convolutions and a conjecture by Mazur, Rubin and Stein
Published 06-07-2018“…In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved…”
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Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series
Published in Inventiones mathematicae (01-06-1985)Get full text
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