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Academic Journal

On a general divisor problem related to a certain Dedekind zeta-function over a specific sequence of positive integers

Subjects: [MATH]Mathematics [math]

  • Source: EISSN: 2804-7370 ; Hardy-Ramanujan Journal ; https://hal.science/hal-04110882 ; Hardy-Ramanujan Journal, In press

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Academic Journal

Class Numbers of Quadratic Fields

Subjects: Baker's theorem; class numbers; Cohen-Lenstra heuristics

  • Source: EISSN: 2804-7370 ; Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-02554226 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2020, Volume 42 - Special

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Academic Journal

A variant of the Hardy-Ramanujan theorem

Subjects: prime divisors; normal order; Brun’s sieve

  • Source: Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-03251106 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, Special Commemorative volume in honour

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Academic Journal

Truncated Series with Nonnegative Coefficients from the Jacobi Triple Product

Subjects: Partitions; truncated series; Jacobi triple product

  • Source: Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-03498175 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, Special Commemorative volume in honour

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Academic Journal

Filter integrals for orthogonal polynomials

Subjects: Integrals; Legendre polynomials; Hermite polynomials

  • Source: Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-03498218 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, Special Commemorative volume in honour

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Academic Journal

Partition-theoretic formulas for arithmetic densities, II

Subjects: integer partitions; arithmetic density; q-series

  • Source: Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-03208042 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, 43, pp.1-16

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Academic Journal

Ramanujan's Beautiful Integrals

Subjects: modular equations; theta functions; lemniscate integral

  • Source: Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-03208369 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, 43, pp.69-82

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Academic Journal

(q-)Supercongruences hit again

Subjects: rigid Calabi-Yau threefold; modular form; creative microscoping

  • Source: Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-03208276 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, 43, pp.46-55

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Academic Journal

A universal identity for theta functions of degree eight and applications

Subjects: theta function; addition formula; Ramanujan's modular equations

  • Source: Hardy-Ramanujan Journal ; https://hal.archives-ouvertes.fr/hal-03208519 ; Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, 43, pp.129-172

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Academic Journal

A localized Erdős-Kac theorem for $\omega_y(p+a)$

Subjects: Erdős-Kac Theorem; Euler-Kronecker constant; [MATH]Mathematics [math]

  • Source: EISSN: 2804-7370 ; Hardy-Ramanujan Journal ; https://hal.science/hal-03914203 ; Hardy-Ramanujan Journal, 2022, 45, pp.74 -- 83

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