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楕円曲線とゼータ関数と素数と分割関数 - 2026/9/29の論文67本
プレプリどんどん: math.NT · 29 сентября 2026 г. · 2 ч 21 мин
arXiv math.NTの新着論文67本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-29/ Tamagawa numbers and torsion of elliptic curves over function fields Efficient Computation and Congruences for Colored Partition Functions Quasimodular Forms, Partitions, and Primes in Intervals Conductors and Quadratic base change Factorizations in algebraic monogenic semidomains Unit fractions with semiprime denominators: an elementary proof of Erd\H{o}s Problem #306 On the sum of odd minimal excludants over overpartitions Matrix Solutions to the Diophantine equation $X^4+ Y^4=2Z^4$ On the Ordering and Injectivity of Lagrange Constants Associated with Certain Substitutions On Fermat-type equations of signature $(r,r,p)$ Congruences for Overcolored Partition $k$-tuples Restricted by Parity of the Parts Lower Bounds for Moments of Automorphic L-functions The infinite sum of the cubes of reciprocal balancing numbers Pseudo-Effectivity in the Skolem-Mahler-Lech Theorem Skew cyclic codes through Drinfeld modules Adelic reduction of module lattices A Unified Approach to Formal Arakawa-Kaneko Type Zeta Values via Iterated Integrals Escape and Non-Escape of Mass for Monogenic Binary Cubic Forms More than 83.69% of the zeros of the Riemann zeta function are distinct Dynamics of multiples of zeta by exponential functions Stacky Heights, Entropy, and Zeta Functions of Weighted Hypersurfaces over Finite Fields The Beilinson--Bloch heights of generalized Ceresa cycles Prime-Detecting Identities from Dirichlet Inversion On the distribution of the zeros of the Euler double zeta-function $\zeta_2(s,s)$ A Padovan-automatic description of a nested recurrence An elementary treatment of Ramanujan's elementary continued fractions Cancellation profiles of Fibonacci-Lucas zeta sums $k$-Fibonacci and $k$-Lucas numbers with the H\"older inequality Biases in the distribution of primes in short intervals Cyclotomic factors and irreducibility of the denominators of $q$-deformed rational numbers Necessary and sufficient condition for reciprocal polynomials to be monogenic The two-block odd partition function <a href="https:/