Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions by Mustafa Bojakli, Hasan Sankari

“…For example, in algebraic number theory, they have been used by Schwartz and Hurwitz to determine the group structure of the automorphism groups of compact Riemann surfaces of genus g ≥ 2. …”
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Non-Asymptotic 𝑡-Wise Independence of Substitution-Permutation Networks by Pelecanos, Angelos

“…In particular, we use exponential sums results from algebraic number theory to show that 7𝑡+𝑜(𝑡) rounds of MiMC on a prime order field are 𝑡-wise independent. …”
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New directions in factoring the prime power RSA modulus N = prq by Shehu, Sadiq, Kamel Ariffin, Muhammad Rezal

“…Factoring large integers is a fundamental problem in algebraic number theory and modern cryptography, which many cryptosystem such as RSA are based on. …”
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Lattice coding for the Gaussian wiretap channel : a study of the secrecy gain by Lin, Fuchun

“…The computation in this part involves basic algebraic number theory, on top of heavy modular form theory and coding theory. …”
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The tree of primes in a field by Wolfgang Rump

“…The product formula of algebraic number theory connects finite and infinite primes in a stringent way, a fact, while not hard to be checked, that has never ceased to be tantalizing. …”
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Finite dimensional Hopf actions on algebraic quantizations by Etingof, Pavel I, Walton, Chelsea

“…The generalization in the last three cases uses a result from algebraic number theory due to A. Perucca.…”
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Algebraic constructions of modular lattices by Hou, Xiaolu

“…The mathematical concepts used in this thesis mainly involve algebraic number theory, class field theory, non commutative algebra and coding theory.…”
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Quantification and finitism by Marion, M

“…In chapter II, I set up a distinction between Kronecker's divisor-theoretical approach to algebraic number theory and the set-theoretic style of Dedekind's ideal-theoretic approach, in order to show that Wittgenstein's remarks on existential proofs and the Axiom of Choice are in the constructivist tradition. …”

Dynamic inflow-based analysis of pitch changes to hovering rotor by Banerjee, Tridib

“…However, despite the final implementation of the model being simple, dynamic inflow theories, especially the versatile ones like the Peters-He model, are deeply rooted in abstract and complex mathematical domains like spherical harmonics, differential calculus of curvilinear space, functional analysis, numerical analysis and algebraic number theory. They even venture into certain aspects of tensor calculus and differential topology. …”
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Codes correcting bursts of deletions/insertions and tandem duplications by Nguyen, Tuan Thanh

“…Our encoding/decoding algorithms are based on enumerative coding, finite-state machine, and algebraic number theory. While these techniques are standard in constrained coding and combinatorics literature, our contribution is a detailed analysis of the space and time complexities of the respective algorithms.…”
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A Quantum Wavelet Uncertainty Principle by Sabrine Arfaoui, Maryam G. Alshehri, Anouar Ben Mabrouk

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On families of phi, Gamma-modules by Kedlaya, Kiran S., Liu, Ruochuan

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Multiplicative excellent families of elliptic surfaces of type E[subscript 7] or E[subscript 8] by Kumar, Abhinav, Shioda, Tetsuji

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A note on secondary K-theory by Trigo Neri Tabuada, Goncalo Jorge

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On faithfulness of the lifting for Hopf algebras and fusion categories by Etingof, Pavel I

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Wavelet-based systematic risk estim-ation: application on GCC stock markets: the Saudi Arabia case by Anouar Ben Mabrouk

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A combinatorial proof for a relation between certain types of integers by Mohamat Johari, Mohamat Aidil, Mohd Atan, Kamel Ariffin, Sapar, Siti Hasana

Perturbed Keplerian Hamiltonian Systems by Riadh Chteoui

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Retraction notice to "Identifications of the coefficients of the Taylor expansion (second order) of periodic non-collision solutions for the perturbed planar Keplerian Hamiltonian... by Riadh Chteoui

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Wavelet-based systematic risk estimation for GCC stock markets and impact of the embargo on the Qatar case by Anouar Ben Mabrouk, Sabrine Arfaoui, Mohamed Essaied Hamrita

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