\(p\)-adic proofs of congruences for the Bernoulli numbers
From MaRDI portal
Publication:1218455
DOI10.1016/0022-314X(75)90020-7zbMath0308.10006MaRDI QIDQ1218455
Publication date: 1975
Published in: Journal of Number Theory (Search for Journal in Brave)
Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences; primitive roots; residue systems (11A07)
Related Items
New results on Bernoulli numbers of higher order ⋮ \(v_ n\)-elements in ring spectra and applications to bordism theory ⋮ Voronoi's congruence via Bernoulli distributions ⋮ Unnamed Item ⋮ On \(p\)-rationality of \(\mathbb{Q}(\zeta_{2l+1})^+\) for Sophie Germain primes \(l\) ⋮ Universal Kummer congruences mod prime powers ⋮ A relation between Bernoulli numbers ⋮ Modulo \(p^2\) congruences involving generalized harmonic numbers ⋮ Kummersche Kongruenzen für die verallgemeinerten Bernoullischen Zahlen ⋮ A note on certain divisibility properties of the Fourier coefficients of normalized Eisenstein series ⋮ Unnamed Item ⋮ Further congruences involving Bernoulli numbers ⋮ Universal higher order Bernoulli numbers and Kummer and related congruences ⋮ On some congruences for the Bell numbers and for the Stirling numbers ⋮ Congruences involving Bernoulli numbers and Fermat-Euler quotients.
Cites Work
- A class number formula for cyclotomic fields
- On some modules in the theory of cyclotomic fields
- On Bernoulli's numbers and Fermat's last theorem
- On Some Invariants of Cyclotomic Fields
- Irregular Prime Divisors of the Bernoulli Numbers
- Irregular Primes and Cyclotomic Invariants
- Summary of Results and Proofs on Fermat's Last Theorem. (Sixth Paper)
- On the Vanishing of the Iwasawa Invariant μ p for p < 8000
- Some Congruences for the Bernoulli Numbers
- AN APPLICATION OF HIGH-SPEED COMPUTING TO FERMAT'S LAST THEOREM
- EXAMINATION OF METHODS OF ATTACK ON THE SECOND CASE OF FERMAT'S LAST THEOREM
- PROOF OF FERMAT'S LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 4002
- Unnamed Item
- Unnamed Item
- Unnamed Item
