diff --git a/library/bignum_core.c b/library/bignum_core.c
index 41be496..9d1e29c 100644
--- a/library/bignum_core.c
+++ b/library/bignum_core.c
@@ -1,5 +1,5 @@
 /*
- *  Multi-precision integer library
+ *  Core bignum functions
  *
  *  Copyright The Mbed TLS Contributors
  *  SPDX-License-Identifier: Apache-2.0
diff --git a/library/bignum_core.h b/library/bignum_core.h
index 221bb1a..c75be26 100644
--- a/library/bignum_core.h
+++ b/library/bignum_core.h
@@ -39,7 +39,7 @@
  */
 size_t mbedtls_mpi_core_clz( const mbedtls_mpi_uint a );
 
-/** Return the the minimum number of bits required to represent the value held
+/** Return the minimum number of bits required to represent the value held
  * in the MPI.
  *
  * \note This function returns 0 if all the limbs of \p A are 0.
diff --git a/library/bignum_mod.c b/library/bignum_mod.c
index c2c3aec..de28093 100644
--- a/library/bignum_mod.c
+++ b/library/bignum_mod.c
@@ -1,5 +1,5 @@
 /**
- *  Internal bignum functions
+ *  Modular bignum functions
  *
  *  Copyright The Mbed TLS Contributors
  *  SPDX-License-Identifier: Apache-2.0
diff --git a/library/bignum_mod.h b/library/bignum_mod.h
index efbacb4..9d28bc7 100644
--- a/library/bignum_mod.h
+++ b/library/bignum_mod.h
@@ -101,7 +101,7 @@
 
 /** Initialize a modulus structure.
  *
- * \param[out] m     The address of a modulus.
+ * \param[out] m     The address of the modulus structure to initialize.
  */
 void mbedtls_mpi_mod_modulus_init( mbedtls_mpi_mod_modulus *m );
 
@@ -136,7 +136,7 @@
  *          mbedtls_mpi_mod_modulus_setup() only removes the reference to it,
  *          making it safe to free or to use it again.
  *
- * \param[in,out] m     The address of a modulus.
+ * \param[in,out] m     The address of the modulus structure to free.
  */
 void mbedtls_mpi_mod_modulus_free( mbedtls_mpi_mod_modulus *m );
 
diff --git a/library/bignum_mod_raw.c b/library/bignum_mod_raw.c
index 0a3f3a0..88311dd 100644
--- a/library/bignum_mod_raw.c
+++ b/library/bignum_mod_raw.c
@@ -1,5 +1,5 @@
 /*
- *  Multi-precision integer library
+ *  Low-level modular bignum functions
  *
  *  Copyright The Mbed TLS Contributors
  *  SPDX-License-Identifier: Apache-2.0
diff --git a/library/bignum_mod_raw.h b/library/bignum_mod_raw.h
index 5e1418b..4b2a51f 100644
--- a/library/bignum_mod_raw.h
+++ b/library/bignum_mod_raw.h
@@ -1,5 +1,5 @@
 /**
- *  Low level modular bignum functions
+ *  Low-level modular bignum functions
  *
  *  This interface only should be used by the higher level modular bignum
  *  module (bignum_mod.c) and the ECP module (ecp.c, ecp_curves.c). All other