A q-microscope for supercongruences

2019/02/12 by Victor J.W. Guo, Victor J. W. Guo, Wadim Zudilin · 21 citations
Mathematics · #Advanced Mathematical Identities #Mathematical and Theoretical Analysis #Analytic Number Theory Research

paper · doi:10.1016/j.aim.2019.02.008

Cited by

• A -ANALOGUE OF A DWORK-TYPE SUPERCONGRUENCE
• A -SUPERCONGRUENCE MODULO THE THIRD POWER OF A CYCLOTOMIC POLYNOMIAL
• On a conjecture related to integer-valued polynomials
• The united proofs for three q-extensions of Dougall's ₂H₂\n summation formula
• Further q-Supercongruences from Singh's Quadratic Transformation
• Supercongruences of multiple harmonic q-sums and generalized finite/symmetric multiple zeta values
• Bilateral Ramanujan-like series for 1/π^k and their congruences
• q-Supercongruences from Jackson's ₈ϕ₇ summation and Watson's ₈ϕ₇ transformation
• Divisibility results concerning truncated hypergeometric series
• Two q-supercongruences from Watson's transformation
• q-Supercongruences from the q-Saalschütz identity
• Proof of a q-supercongruence conjectured by Guo and Schlosser
• q-Supercongruences with parameters
• Streamlined WZ method proofs of Van Hamme supercongruences
• Transformation and summation formulas for basic hypergeometric series associated with the circumference ratio
• Some supercongruences arising from symbolic summation
• Some New q -Congruences for Truncated Basic Hypergeometric Series: Even Powers. [europepmc]
• A New Family of q -Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial. [europepmc]
• Some q -supercongruences modulo the square and cube of a cyclotomic polynomial. [europepmc]
• Three families of q -supercongruences modulo the square and cube of a cyclotomic polynomial. [europepmc]
• New q -Analogues of Van Hamme's (E.2) Supercongruence and of a Supercongruence by Swisher. [europepmc]